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/dokumenty/PRA1/11-Rotace/Rotace.pdf
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/dokumenty/PRA1/11-Rotace/Rotace.tex
16,9 → 16,17
\begin{abstract}
 
\end{abstract}
\section{Úvod}
\section{Pracovní Úkoly}
\begin{enumerate}
\item V domácí přípravě odvoďte vzorec pro výpočet momentu setrvačnosti válce a dutého válce.
\begin{equation}
I = \frac{1}{2} MR^2
\end{equation}
 
\begin{equation}
I = \frac{1}{2} M(R_1^2 + R_2^2)
\end{equation}
 
\item Změřte momenty setrvačnosti přiložených rotačních objektů experimentálně a porovnejte je s hodnotami z teoretických vzorců. Měření proveďte alespoň pětkrát. Použijte disk, disk + prstenec a pomocí nich stanovte moment setrvačnosti samotného prstence.
\item Změřte moment setrvačnosti disku, umístěného na dráze mimo osu rotace a pomocí výsledků z předchozího úkolu ověřte platnost Steinerovy věty.
\item Ověřte zákon zachování momentu hybnosti. Do protokolu přiložte graf závislosti úhlové rychlosti rotace na čase.
44,6 → 52,13
 
\includegraphics[width=150mm]{./data/rotace_zmena.pdf}
 
Proložením dat jsme spočítali momenty setrvačnosti disku $(9.63 \pm 0,05) 10^{-3} kgm^2$ dále moment setrvačnosti prstence $(5.11 \pm 0,01) 10^{-3} kgm^2$. úkolem také bylo ověřit platnost Steinerovy věty, k tomu jsme stejným způsobem museli nejdříve změřit moment setrvačnosti držáku $(12.81 \pm 0,02) 10^{-3} kgm^2$ a následně celého systému s prstencem posunutým o 50mm od osy rotace. V takovém případě byl moment setrvačnosti $(10.31 \pm 0,06) 10^{-3} kgm^2$
 
\subsection{Zachování momentu hybnosti}
 
Při tomto úkolu jsme na držák přidali dvě závaží tak aby je bylo možné je během rotace šňůrkou stáhnout k sobě.
Tím se změnila úhlová rychlost z 2,5 rad/s na 9,2 rad/s při změně momentu setrvačnosti z 0.0254 $kgm^2$ na 0.0073 $kgm^2$ aby moment hybnosti zůstal zachován s chybou 5\%.
 
\subsection{Precese gyroskopu}
Precesi gyroskopu jsme měřili tak že v jsme jej v klidu vyvážili a na straně s gyroskopem zatížili definovaným závažím o hmotnosti 17,9 g. Které působí na gyroskop tíhovou silou. Která způsobuje precesi gyroskopu kolem svislé osy.
 
62,10 → 77,10
\end{table}
 
\section{Diskuse}
Největším problémem bylo měření zachování momentu hybnosti, kdy aparatura přecházela při změně konfirugace závaží do neopakovatelně definovaných stavů, což pravděpodobně způsobilo značnou chybu.
Největším problémem bylo měření zachování momentu hybnosti, kdy aparatura přecházela při změně konfigurace závaží do neopakovatelně definovaných stavů, což pravděpodobně způsobilo značnou chybu.
 
\section{Závěr}
Z naměřených dat lze potvrdit že momenty setrvačností objektů rotujících na téže ose se sčítají.
Z naměřených dat lze potvrdit že momenty setrvačností objektů rotujících na téže ose se sčítají. A moment hybnosti se při změně momentu setrvačnosti zachovává. Průměrná hodnota precese gyroskopu nám vyšla 0,0176 rad/s.
 
\begin{thebibliography}{99}
\bibitem{oscilace}{Zadání úlohy 11 - Dynamika rotačního pohybu}. \href{http://praktika.fjfi.cvut.cz/RotacniPohyb/}{http://praktika.fjfi.cvut.cz/RotacniPohyb/}.
/dokumenty/PRA1/12-Tepelne_stroje/Tepelne_stroje.pdf
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/dokumenty/PRA1/12-Tepelne_stroje/Tepelne_stroje.tex
14,21 → 14,36
\maketitle
\thispagestyle{empty}
\begin{abstract}
Zabývali jsme se schopností tepelného stroje přeměňovat teplo na práci. Pracovní plyn tepelného stroje po zahřátí zdvihal závaží, čímž konal mechanickou práci. Práci konanou plynem jsme měřili tlakovým a rotačním senzorem.
\end{abstract}
 
\end{abstract}
\section{Úvod}
\section{Pracovní úkoly}
\begin{enumerate}
\item Zkalibrujte tlakoměr, zkontrolujte čidlo pro odečítání polohy pístu.
\item rozeberte nastíněný pracovní cyklus, popište jeho jednotlivé fáze v p - V diagramu.
\item Proveďte opakovaně popsaný cyklus s různými závažími. Získejte pro každé měření plochu uzavřenou křivkami v p-V diagramu a spočítejte rozdíl potenciálních energií pro dané závaží. Vynášejte obě hodnoty do grafu, výsledné hodnoty proložte přímkou. $W =a* \Delta E+b$
\item Proveďte opakovaně popsaný cyklus s různými závažími. Získejte pro každé měření plochu uzavřenou křivkami v p-V diagramu a spočítejte rozdíl potenciálních energií pro dané závaží. Vynášejte obě hodnoty do grafu, výsledné hodnoty proložte přímkou. $W =a \cdot \Delta E+b$
 
\item Změřte hodnotu vnitřního odporu Peltierovy součástky.
\item Změřte účinnost Peltierova aparátu. Srovnejte s účinností Carnotova cyklu pro lázně stejných teplot. Opakujte několik měření pro různé teploty horké lázně. Vyneste hodnoty \begin{math}\varepsilon_{carnot},\,\varepsilon \end{math} do grafu, kde na ose x bude teplota horké lázně.
\item Započítejte k účinnosti vnitřní odpor a výkon obcházející součástku. K energii rozptýlené na zátěžovém odporu je třeba přidat energii rozptýlenou na vnitřním odporu.
\end{enumerate}
 
\section{Úvod}
Tepelný stroj je užitečné zařízení oblíbené hlavně kvůli svojí schopnosti převádět část tepelné energie na užitečnou práci. Účinnost takového stoje je dána vztahem.
\begin{equation}
W = Q_1 - Q_2 = Q_1\frac{T_1 - T_2}{T_1}, \label{carnot}
\end{equation}čímž je dána maximální teoretická účinnost tepelného stroje
\begin{equation}
\varepsilon_{max} = \frac{T_1 - T_2}{T_1} \label{ucinnost}
\end{equation}
V reálné situaci je tato účinnost menší z důvodu působení disipativních sil na různé části stroje, které způsobí, že část mechanické energie je přeměněna zpět na nepoužitelné teplo.
 
\section{Postup měření}
\subsection{Měření účinnosti Peltierova článku}
 
Aparaturu jsme zapojili podle zadání tak, aby bylo možné meřit elektricky přikon do zahřívacího odporu i výkon dodávaný do zátěže Peltierovým článkem.
Aparaturu jsme zapojili podle zadání tak, aby bylo možné měřit elektrický příkon do zahřívacího odporu i výkon dodávaný do zátěže Peltierovým článkem.
 
Po uvedení přístrojů do provozu měření probýhalo, tak, že jsme nastavili teplotu horké lázně a při odpojené zátěži počkali, až se ustálí. Následně jsme odečetli napětí, na Peltierově článku. A zátěž zapojili, teplotu horké lázně bylo nyní potřeba dorovnat na teplotu při odpojené zátěži, aby bylo možné určit vnitřní odpor měřeného článku a tepelný výkon, který neprochází přímo aktivní oblastí. Naměřená data jsou uvedena v tabulce \ref{Peltier} kde každý druhý řádek odpovídá připojené zátěži R = 2 Ohm.
Po uvedení přístrojů do provozu měření probíhalo tak, že jsme nastavili teplotu horké lázně a při odpojené zátěži počkali, až se ustálí. Následně jsme odečetli napětí, na Peltierově článku. A zátěž zapojili, teplotu horké lázně bylo nyní potřeba dorovnat na teplotu při odpojené zátěži, aby bylo možné určit vnitřní odpor měřeného článku a tepelný výkon, který neprochází přímo aktivní oblastí. Naměřená data jsou uvedena v tabulce \ref{Peltier} kde každý druhý řádek odpovídá připojené zátěži R = 2 Ohm.
 
\begin{table}[htbp]
\begin{center}
51,25 → 66,35
\label{Peltier}
\end{table}
 
Z těchto hodnot jsme pak vypočetli jeho účinnost, která byla bez korekce pod jedním procentem. Jak je vidět na grafu \ref{PeltierXCarnot}.
Z těchto hodnot jsme pak podle zdroje \cite{Peltier} vypočetli jeho účinnost, která byla bez korekce pod jedním procentem. Jak je vidět na grafu \ref{PeltierXCarnot}. Hodnota vnitřního elektrického odporu Peltierovy součástky nám vyšla 1,34 $m\Omega$.
 
\begin{figure}
\begin{center}
\includegraphics[width=150mm]{peltier.pdf}
\end{center}
\caption{Učinnost Peltierova článku v porovnání s ideálním Carnotovým strojem za stejných podmínek}
\label{PeltierXCarnot}
\caption{Učinnost Peltierova článku v porovnání s Carnotovým strojem za stejných podmínek}
\end{figure}
 
Při aplikování korekce na vnitřní odpor a tepelné ztráty se účinnost dostala přibližně ke 4,55\%,
Při aplikování korekce na vnitřní odpor a tepelné ztráty (opět podle zdroje \cite{Peltier}) se účinnost dostala přibližně na 4,55\%.
 
\subsection{Carnotův Cyklus}
 
Tepelný stroj jsme zatěžovali závažím o definované hmotnosti a ze změny jeho potenciální energie jsme určili práci, kterou stoj vykonal.
Energii v Carnotova cyklu jsme získali výpočtem z uzavřené plochy p-V diagramu. Náš naměřený výsledek je vidět v grafu \ref{carnot}.
Po kalibraci tlakoměru závažím hmotnosti (100g)
 
Jsme píst tepelného stroje zatěžovali závažím o definované hmotnosti a ze změny jeho potenciální energie v průběhu pracovního cyklu viz. obrázek \ref{cyklus} jsme určili práci, kterou stroj vykonal.
Energii v Carnotova cyklu jsme získali výpočtem z uzavřené plochy p-V diagramu V programu DataStudio. Náš naměřený výsledek je vidět v grafu \ref{carnot}.
 
\begin{figure}
\begin{center}
\includegraphics[width=150mm]{./data/tepl100g.png}
\end{center}
\caption{Pracovní cyklus pístu zatíženého závažím 100g}
\label{cyklus}
\end{figure}
 
\begin{figure}
\begin{center}
\includegraphics[width=150mm]{carnot.pdf}
\caption{Práce a energie laboratorního tepelného stroje.}
\label{carnot}
76,7 → 101,7
\end{center}
\end{figure}
 
Při nafitování naměřených bodů výrazem $W =a* \Delta E+b$ se ukázalo, že koeficienty jsou: $a = 1.04815 \pm 0.01257$ , $b = 0.00517276 \pm 0.0008125$ Což znamená, že účinnost laboratorní aparatury je přibližně 95\%.
Při nafitování naměřených bodů výrazem $W =a \cdot \Delta E+b$ se ukázalo, že koeficienty jsou: $a = 1.04815 \pm 0.01257$ , $b = 0.00517276 \pm 0.0008125$ Což znamená, že mechanická účinnost laboratorní aparatury je přibližně 95\%. Což není překvapivé vzhledem k jednoduchosti stroje, kdy je navíc pracovní medium přemisťováno mezi chladnou a studenou lázní za pomoci jiného zdroje energie.
 
\section{Diskuse}
Při měření Peltierova článku by bylo asi vhodné použít kratší přívodní hadičky ke chladící lázni, jelikož voda se tak zbytečně ohřívá z původní teploty tání ledu a teplota studené strany článku se tak stává nestabilní.
87,6 → 112,6
 
\begin{thebibliography}{99}
\bibitem{Stroje}{Zadání úlohy 12 - Tepelný stroj}. \href{http://praktika.fjfi.cvut.cz/TepelnyStroj}{http://praktika.fjfi.cvut.cz/TepelnyStroj}
\bibitem{Stroje}{Zadání úlohy 12 - Účinnost tepelného stroje}.\href{http://fyzika.fjfi.cvut.cz/Peltier}{http://fyzika.fjfi.cvut.cz/Peltier}
\bibitem{Peltier}{Zadání úlohy 12 - Účinnost tepelného stroje}.\href{http://fyzika.fjfi.cvut.cz/Peltier}{http://fyzika.fjfi.cvut.cz/Peltier}
\end{thebibliography}
\end{document}
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/dokumenty/PRA1/4-Poisson/poisson.ps
1,7 → 1,7
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%%Title: poisson.dvi
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%%CreationDate: Sun Dec 13 21:57:26 2009
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12,7 → 12,7
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%DVIPSSource: TeX output 2009.12.07:0031
%DVIPSSource: TeX output 2009.12.13:2157
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202,6 → 202,267
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B8EB6E36B55617525ABC445B39733E2EA77885C8728679D6E2FC540AD1711BED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6584FDDD0B160B2CEAAD4FD6D7F19756A7F22C0FA61FE72A20009AAD0B9E1FDD
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5F4D1A09436BB308C4CBF6B52F36A448CDF5E16EAD37D1D52344B78968A6045C
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cleartomark
%%EndFont
%%BeginFont: CMSY10
%!PS-AdobeFont-1.1: CMSY10 1.0
%%CreationDate: 1991 Aug 15 07:20:57
223,6 → 484,7
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /minus put
dup 6 /plusminus put
readonly def
/FontBBox{-29 -960 1116 775}readonly def
currentdict end
238,14 → 500,18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515DB70A8D4F6146FE068DC1E5DE8BC57036431151EC603C8BCFE359BBD953AD
5F3D9983B036D9202C8FCC4FA88AF960E1E49914EC809263862931DB14B61EEE
6D37A389B488D0B64CFB7DA527AAED80494F79A073D895AA287BB47BD5246090
A76CE91680C1F37E770AC7E53D8B98945AC33780AEFF36A58B87BA8C560A4DAF
C331427667AF5F8E3BFB854538BEF73F11ACB5EE952B83B4882D33A1684F5CB6
8845A9ED36E421EE0DCE3D0ABFE21237D58EB29124837171B6E0E7ABBC07A433
2B7975AC49F2D24F6DCAC20E7538EC4405ABE37FDE4617DBC2B5ED3C22CA58F6
C6356C6FAB9115D9339D8CB1F6FC5F6B1EEE9E7CA485D21E84923AA962DCF0FB
051CF6C4557ECC5B76571D445E25F65EA8DBA620147537061648B8A09496277B
BA4C41B613E7368ACDD32986597A37B058C3BCA526B1468D22122274488EDEF5
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4BCE364839990A2272EC636E31
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496,6 → 762,7
dup 73 /I put
dup 80 /P put
dup 86 /V put
dup 99 /c put
readonly def
/FontBBox{-24 -250 1110 750}readonly def
currentdict end
524,36 → 791,40
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A3C7C8B8AF54961A8838AD279441D9A5EB6C1FE26C98BD025F353124DA68A827
AE2AF8D25CA48031C242AA433EEEBB8ABA4B96821786C38BACB5F58C3D5DA011
85B385124B1D786840F2AEBAB2DA265F4C6B4C1728774468F0BDE1D8703122EE
D3BF2008A742EB84DA32AB8D4A840ABE72164DE97BD1D20B1A5D1404C0525179
0A9EFAC05E4A01649FD50A56BCA0842AEB0391B06459BB73B0587FACD7879F44
0E0EB09A9AF231570AD0C2F93F8928BA645523F71AD615A380C4C17C1D845404
441DF56CDE3AD42432D669DE3A9363BE03C847404826148046F011FBB31DFE54
F215743F001C5AF14B0ABBE2FA7113788F71D4A7B6F8F66F742733E6F682F34E
54E856A46B6092BDDA83E41D9BACF364D5CE9F07EA4A0CD902B6E75B0CB91AAE
F307ABEE31E6A27A2156D7D9ACF58F5539E781A64021BEAF77F7E3B2FC075DAD
6AAD0C0021E579A6037992FA12D62C6EE765D26D2530B20A21546E667C420748
2AE2C5829A9BE3181B54AA32DCD0EB1C9B57AF9B05155B4A3010A935B8D10E3C
97702396E549445D171CBDA2CE3B6788CD54CE4BE0F79B2FE62F427C188B56E7
348E3D55F315F6A0591F1B04DF3F91DFA4598DF78B66802A838CEF5194358BCD
7CE5DAE547EA9E2E6A062962907E98DF6FCA19C7762DC23E8549E191A57777D3
7927755A66DFB3A001C16E5732A5C6D83BE07E42490D2933E081BC65711D3627
75F661533BBAF479E93F7B3ADB6D1DE3748BB0DFA96BAF6DDD3A3164A0D2DE21
2282D1756B60BFE88043C28C34C3180D556E33A99E6BF34E0024B86A23BA2072
6F9132E3B04E5FA31F2AF8BCE0FB689F0E2B92DA8095B60BCA97B8676D89B0EE
D75DCD3D397DEF045828867EC82379605A5FE66AD0FD25CDEE30820441C6268B
F246253DA3F2527B1DBC9E2DF0FE209E441CA538E3E91BF4AF347ED89B81EAFE
A776C8BF59CB64F12CC78097DC4CCA620EB45F0166F483EA24E31B9DA5A4DF51
BF6949CC37F7AD26FBD716199C10B2C3A8E81FEF2C380BA3CE8CAFE570D099D7
8AAC558A8453BCBC1A238483F1F1BAA36BD0612A1B0292503961FB2383C83D97
DD2908545632F1E29FEC53967BFCB7A966C9027A88C77A7F9494E2D23A16D8A9
23CB7DD387DD5D1EF12457C7F1F1661F0E0DF9B4A58E61D21D7142B90B656AC2
467EEDF7D08070ED72FE6FC56E3DB5CDC00ED8BDBAA63186FC5AE892CE16DBED
B972343A6164A044B1E2E58693D60FE0BE121755DBFA72858A444588CA86286B
10881B337A6B7BDE80813B4A40B6EEEC5F1E781A67DBFEC7D73D480FEB6BE544
53F994EC95CA3D23F1909BE3B7CF6357C31EC4790B7B85DF7D942056C0E809EA
D91674D1E4CE3CE4B30B49A5BF6EA9B97D259F7A99E92BD340134AF401337B70
39F8C78CAB3040D68A8FFCABAF
85B3851248F26A134F1CA36BB88B0AD4B229FA59662021CB6254FAF834A85D4C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588,12 → 859,15
dup 58 /period put
dup 59 /comma put
dup 60 /less put
dup 61 /slash put
dup 67 /C put
dup 84 /T put
dup 86 /V put
dup 98 /b put
dup 99 /c put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 107 /k put
dup 108 /l put
dup 109 /m put
644,129 → 918,142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0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
777,250 → 1064,6
0000000000000000000000000000000000000000000000000000000000000000
cleartomark
%%EndFont
%%BeginFont: CMBX12
%!PS-AdobeFont-1.1: CMBX12 1.0
%%CreationDate: 1991 Aug 20 16:34:54
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMBX12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMBX12 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 16 /dotlessi put
dup 19 /acute put
dup 20 /caron put
dup 46 /period put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 53 /five put
dup 68 /D put
dup 77 /M put
dup 80 /P put
dup 82 /R put
dup 85 /U put
dup 90 /Z put
dup 97 /a put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 104 /h put
dup 105 /i put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 122 /z put
readonly def
/FontBBox{-53 -251 1139 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMR12
%!PS-AdobeFont-1.1: CMR12 1.0
%%CreationDate: 1991 Aug 20 16:38:05
1042,6 → 1085,7
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 12 /fi put
dup 13 /fl put
dup 16 /dotlessi put
dup 19 /acute put
dup 20 /caron put
1074,6 → 1118,7
dup 72 /H put
dup 74 /J put
dup 75 /K put
dup 76 /L put
dup 77 /M put
dup 78 /N put
dup 79 /O put
1137,324 → 1182,334
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1774,28 → 1829,29
cleartomark
%%EndFont
TeXDict begin 39158280 55380996 1000 600 600 (poisson.dvi)
@start /Fa 255[77{}1 99.6264 /CMSY10 rf /Fb 236[61 61
18[{}2 83.022 /CMEX10 rf /Fc 207[19 48[{}1 66.4176 /CMSY8
rf /Fd 203[35 35 35 35 49[{}4 66.4176 /CMR8 rf /Fe 169[41
5[45 6[31 52[41 20[{}4 66.4176 /CMMI8 rf /Ff 139[35 46
44 1[49 47 58 85 29 51 2[56 47 4[41 11[57 1[57 16[70
6[76 27 27 37[56 20[{}19 99.6264 /CMMI12 rf /Fg 133[60
3[71 75 52 53 55 1[75 67 75 1[37 2[37 75 3[75 2[65 19[128
26[67 67 2[37 25[67 20[{}19 119.552 /CMBX12 rf /Fh 133[43
51 51 1[51 54 38 38 38 1[54 49 54 81 27 51 30 27 54 49
30 43 54 43 54 49 3[27 1[27 60 3[73 73 70 54 2[66 76
73 89 1[76 50 1[73 3[75 70 69 73 3[76 2[27 49 49 49 49
49 49 49 49 49 49 49 27 33 27 76 1[38 38 27 15[73 2[49
49 2[27 3[54 12[{}67 99.6264 /CMR12 rf /Fi 137[85 90
63 64 66 1[90 81 90 134 1[85 1[45 2[49 74 90 72 1[78
6[99 4[124 2[120 1[110 11[124 14[81 81 81 81 81 28[81
81 2[45 16[{}29 143.462 /CMBX12 rf /Fj 139[41 41 43 6[55
8[58 51 31[79 65[{}7 90.9091 /CMBX10 rf /Fk 133[52 4[65
5[59 65 98 33 62 1[33 5[52 65 59 21[91 60 9[91 6[59 5[59
59 59 59 1[33 1[33 24[59 19[{}22 119.552 /CMR12 rf /Fl
133[70 83 2[83 88 61 62 61 2[79 88 2[83 1[43 88 2[70
88 70 1[79 11[119 4[108 59[79 79 2[43 16[{}21 172.188
/CMR17 rf end
@start /Fa 134[71 2[71 75 52 53 55 1[75 67 75 112 37
71 41 37 75 2[61 75 60 75 65 16[92 2[128 25[67 67 67
2[37 22[102 2[67 67 2[37 16[{}30 119.552 /CMBX12 rf /Fb
249[77 5[77{}2 99.6264 /CMSY10 rf /Fc 236[61 61 18[{}2
83.022 /CMEX10 rf /Fd 207[19 48[{}1 66.4176 /CMSY8 rf
/Fe 203[35 35 35 35 49[{}4 66.4176 /CMR8 rf /Ff 156[31
12[41 5[45 6[31 52[41 20[{}5 66.4176 /CMMI8 rf /Fg 139[35
46 44 1[49 47 58 85 29 51 1[33 56 47 3[42 41 11[57 1[57
16[70 5[49 76 27 27 37[56 20[{}22 99.6264 /CMMI12 rf
/Fh 133[43 51 51 1[51 54 38 38 38 1[54 49 54 81 27 51
30 27 54 49 30 43 54 43 54 49 3[27 1[27 60 3[73 73 70
54 2[66 76 73 89 61 76 50 1[73 3[75 70 69 73 3[76 2[27
49 49 49 49 49 49 49 49 49 49 49 27 33 27 76 1[38 38
27 15[73 2[49 49 2[27 2[54 54 12[{}69 99.6264 /CMR12
rf /Fi 134[85 2[85 90 63 64 66 1[90 81 90 134 45 85 1[45
2[49 74 90 72 1[78 6[99 4[124 2[120 1[110 11[124 14[81
81 81 81 81 28[81 81 2[45 16[{}31 143.462 /CMBX12 rf
/Fj 139[41 41 43 6[55 8[58 51 31[79 65[{}7 90.9091 /CMBX10
rf /Fk 133[52 4[65 5[59 65 98 33 62 1[33 5[52 65 59 21[91
60 9[91 6[59 5[59 59 59 59 1[33 1[33 24[59 19[{}22 119.552
/CMR12 rf /Fl 133[70 83 2[83 88 61 62 61 2[79 88 2[83
1[43 88 2[70 88 70 1[79 11[119 4[108 59[79 79 2[43 16[{}21
172.188 /CMR17 rf end
%%EndProlog
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1822,18 → 1878,20
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1841,136 → 1899,162
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0 0 a 0 0 a
SDict begin 14.5 H.A end
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0 0 a Black Black 589 502 a Fl(Ur)l(\024)-74
b(cen)-18 b(\023)-61 b(\020)51 b(P)l(oissono)l(vy)h(k)l(onstan)l(t)l(y)
f(vzduc)l(h)l(u)1092 798 y Fk(Jakub)39 b(K\023)-59 b(ak)m(ona,)37
b(k)-7 b(aklik@mlab.cz)1623 1026 y(30.11.2009)p Black
Black 1685 1393 a Fj(Abstrakt)p Black Black 0 1712 a
Black 1685 1380 a Fj(Abstrakt)p Black Black 0 1685 a
SDict begin H.S end
 
0 1712 a 0 1712 a
0 1685 a 0 1685 a
SDict begin 14.5 H.A end
0 1712 a 0 1712 a
0 1685 a 0 1685 a
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0 1712 a 182 x Fi(1)264
1860 y(\023)242 1894 y(Uv)l(o)t(d)0 1952 y
0 1685 a 182 x Fi(1)161
b(Praco)l(vn)-18 b(\023)-63 b(\020)58 b(\023)-85 b(uk)l(oly)0
1954 y
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1952 a
0 1954 a 0 1954 a
SDict begin 14.5 H.A end
0 1952 a 0 1952 a
0 1954 a 0 1954 a
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0 1952 a Black 119 2113 a Fh(1.)p
Black 49 w(Zm)m(\024)-46 b(e)-5 b(\024)-43 b(rte)32 b(k)m(ompres)-11
b(\023)-38 b(\020)34 b(plyn)m(u)g(ob)5 b(jem)34 b(ba)s(\024)-51
b(nky)32 b(syst)m(\023)-46 b(em)m(u)35 b(s)e(kmita)5
b(j)-11 b(\023)-38 b(\020c)-11 b(\023)-38 b(\020m)34
b(p)-11 b(\023)-38 b(\020stk)m(em.)0 2174 y
0 1954 a Black
119 2086 a Fh(1.)p Black 49 w(Zm)m(\024)-46 b(e)-5 b(\024)-43
b(rte)32 b(k)m(ompres)-11 b(\023)-38 b(\020)34 b(plyn)m(u)g(ob)5
b(jem)34 b(ba)s(\024)-51 b(nky)32 b(syst)m(\023)-46 b(em)m(u)35
b(s)e(kmita)5 b(j)-11 b(\023)-38 b(\020c)-11 b(\023)-38
b(\020m)34 b(p)-11 b(\023)-38 b(\020stk)m(em.)0 2146
y
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0 2174 a 0 2174 a
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0 2174 a Black 119 2317 a
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b(P)m(oissono)m(vu)j(k)m(onstan)m(tu)g(meto)s(dou)e(adiabatic)m(k)m
(\023)-46 b(e)46 b(expanze)g(a)f(sou)m(\024)-46 b(casn)m(\024)g(e)46
b(meto)s(dou)244 2437 y(kmita)5 b(j)-11 b(\023)-38 b(\020c)-11
b(\023)-38 b(\020ho)34 b(p)-11 b(\023)-38 b(\020stku.)0
2498 y
0 2146 a Black
119 2286 a Fh(2.)p Black 49 w(Zm)m(\024)-46 b(e)-5 b(\024)-43
b(rte)44 b(P)m(oissono)m(vu)j(k)m(onstan)m(tu)g(meto)s(dou)e(adiabatic)
m(k)m(\023)-46 b(e)46 b(expanze)g(a)f(sou)m(\024)-46
b(casn)m(\024)g(e)46 b(meto)s(dou)244 2407 y(kmita)5
b(j)-11 b(\023)-38 b(\020c)-11 b(\023)-38 b(\020ho)34
b(p)-11 b(\023)-38 b(\020stku.)0 2466 y
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0 2498 a 0 2498 a
0 2466 a 0 2466 a
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0 2498 a Black
119 2641 a Fh(3.)p Black 49 w(Oba)43 b(v)q(\023)-50 b(ysledky)47
b(p)s(oro)m(vnejte.)d(V)q(\023)-50 b(ysledek)46 b(meto)s(dy)e(kmita)5
b(j)-11 b(\023)-38 b(\020c)-11 b(\023)-38 b(\020ho)45
b(p)-11 b(\023)-38 b(\020stku)45 b(p)s(o)m(v)-5 b(a)m(\024)-46
b(zujte)44 b(za)f(tab-)244 2761 y(ulk)m(o)m(v)m(ou)34
0 2466 a Black 119 2607 a Fh(3.)p
Black 49 w(Oba)43 b(v)q(\023)-50 b(ysledky)47 b(p)s(oro)m(vnejte.)d(V)q
(\023)-50 b(ysledek)46 b(meto)s(dy)e(kmita)5 b(j)-11
b(\023)-38 b(\020c)-11 b(\023)-38 b(\020ho)45 b(p)-11
b(\023)-38 b(\020stku)45 b(p)s(o)m(v)-5 b(a)m(\024)-46
b(zujte)44 b(za)f(tab-)244 2727 y(ulk)m(o)m(v)m(ou)34
b(ho)s(dnotu)f(P)m(oissono)m(vy)i(k)m(onstan)m(t)m(y)-8
b(.)0 2930 y
b(.)0 2787 y
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0 2787 a 0 2787 a
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0 2930
a 164 x Fi(2)264 3059 y(\023)242 3094 y(Uv)l(o)t(d)0
3192 y
0 2787 a 0 2787 a
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0 2787
a Black 119 2928 a Fh(4.)p Black 49 w(Jednolitro)m(v)m(ou)34
b(l\023)-49 b(ahev)33 b(zv)-5 b(a)m(\024)-46 b(zte)34
b(pr\023)-49 b(azdnou.)0 2987 y
SDict begin H.S end
0 3192 a 0 3192 a
0 2987 a 0 2987 a
SDict begin 14.5 H.A end
0 3192 a 0 3192 a
SDict begin [ /View [/XYZ H.V] /Dest (subsection.2.1) cvn H.B /DEST pdfmark end
0 3192 a 150
x Fg(2.1)135 b(Mo)t(dul)45 b(pru)l(\024)-64 b(znosti)45
b(v)g(tah)l(u)0 3527 y Fh(P)m(oissono)m(v)-5 b(a)39 b(k)m(onstan)m(ta)f
Ff(\024)g Fh(je)f(p)s(om)m(\024)-46 b(er)38 b(m)m(\024)-46
b(ern)m(\023)g(eho)39 b(tepla)e Ff(C)2179 3542 y Fe(P)2275
3527 y Fh(p)-5 b(\024)-43 b(ri)37 b(st\023)-49 b(al)m(\023)j(em)38
b(tlaku)g(k)m(e)g(m)m(\024)-46 b(ern)m(\023)g(em)m(u)40
b(teplu)0 3647 y Ff(C)70 3662 y Fe(V)163 3647 y Fh(p)-5
b(\024)-43 b(ri)32 b(st\023)-49 b(al)m(\023)j(em)33 b(ob)5
b(jem)m(u)1707 3810 y Ff(\024)28 b Fh(=)1906 3743 y Ff(C)1976
3758 y Fe(P)p 1905 3787 131 4 v 1905 3878 a Ff(C)1975
3893 y Fe(V)2045 3810 y Ff(:)146 4025 y(\024)49 b Fh(m\023)-49
b(a)48 b(v)m(e)i(v)-5 b(\024)-44 b(sec)m(h)50 b(sousta)m(v\023)-49
b(ac)m(h)51 b(stejnou)46 b(\024)-46 b(c)-11 b(\023)-38
b(\020selnou)50 b(ho)s(dnotu.)f(Pro)f(v)-5 b(\024)-44
b(sec)m(hn)m(y)52 b(plyn)m(y)e(je)e(p)s(om)m(\024)-46
b(er)0 4145 y(sp)s(eci\014c)m(k)q(\023)c(yc)m(h)44 b(tep)s(el)d
Ff(\024)f Fh(v)m(\024)-46 b(et)-5 b(\024)-44 b(s)-11
b(\023)-38 b(\020)41 b(ne)m(\024)-46 b(z)41 b(1)f(a)g(z\023)-49
b(avis)-11 b(\023)-38 b(\020)41 b(na)f(p)s(o)m(\024)-46
b(ctu)40 b(atom)-9 b(\027)-64 b(u)41 b(v)f(molekule)i(plyn)m(u.)f(Ho)s
(dnotu)f Ff(\024)0 4266 y Fh(m)-9 b(\027)-64 b(u)m(\024)-46
b(zeme)34 b(ur)m(\024)-46 b(cit)33 b(ze)g(zm)m(\024)-46
b(en)m(y)35 b(tlaku)e(p)-5 b(\024)-43 b(ri)31 b(adiabatic)m(k)m(\023)
-46 b(em)35 b(d)m(\024)-46 b(eji,)33 b(kter)q(\023)-50
b(y)33 b(je)g(p)s(ops\023)-49 b(an)33 b(P)m(oissono)m(v)m(ou)h(ro)m
(vnic)-11 b(\023)-38 b(\020)1604 4505 y Ff(pV)1732 4464
y Fe(\024)1804 4505 y Fh(=)28 b Ff(k)s(onst:)146 4725
y Fh(kde)34 b Ff(p)p Fh(,)e Ff(V)55 b Fh(jsou)32 b(tlak)h(a)f(ob)5
b(jem)34 b(plyn)m(u.)146 4845 y(Pro)22 b(m)m(\024)-46
b(e)-5 b(\024)-43 b(ren)-11 b(\023)-38 b(\020)22 b(P)m(oissono)m(vy)i
(k)m(onstan)m(t)m(y)g(vzduc)m(h)m(u)g(jsme)f(mimo)f(jin)m(\023)-46
b(e)22 b(p)s(ou)m(\024)-46 b(zili)22 b(Cl)m(\023)-46
b(emen)m(to)m(vu-D)m(\023)g(esormeso)m(vu)0 4966 y(meto)s(du.)36
b(Jej)-11 b(\023)-38 b(\020)m(\024)-46 b(z)36 b(princip)g(sp)s(o)m
(\024)-46 b(c)-11 b(\023)-38 b(\020v\023)-49 b(a)36 b(v)m(e)g(stla)m
(\024)-46 b(cen)-11 b(\023)-38 b(\020)37 b(vzduc)m(h)m(u)g(v)m(e)g(v)m
(elk)m(\023)-46 b(e)37 b(b\023)-49 b(ani,)35 b(ab)m(y)h(m)m(\024)-46
0 2987
a 0 2987 a
SDict begin [ /View [/XYZ H.V] /Dest (Item.5) cvn H.B /DEST pdfmark end
0 2987 a Black 119 3128 a Fh(5.)p Black 49
w(Jednolitro)m(v)m(ou)34 b(l\023)-49 b(ahev)33 b(zv)-5
b(a)m(\024)-46 b(zte)34 b(plnou)f(v)m(o)s(dy)-8 b(.)0
3187 y
SDict begin H.S end
0 3187 a 0 3187 a
SDict begin 14.5 H.A end
0 3187 a 0 3187 a
SDict begin [ /View [/XYZ H.V] /Dest (Item.6) cvn H.B /DEST pdfmark end
0 3187 a Black
119 3328 a Fh(6.)p Black 49 w(Z)32 b(ob)s(ou)g(v)q(\023)-50
b(ysledk)-9 b(\027)-64 b(u)35 b(ur)m(\024)-46 b(cete)34
b(ob)5 b(jem)33 b(lah)m(v)m(e.)0 3387 y
SDict begin H.S end
0 3387 a 0 3387
a
SDict begin 14.5 H.A end
0 3387 a 0 3387 a
SDict begin [ /View [/XYZ H.V] /Dest (Item.7) cvn H.B /DEST pdfmark end
0 3387 a Black 119 3528 a Fh(7.)p
Black 49 w(Ob)5 b(jem)33 b(pr\023)-49 b(azdn)m(\023)j(e)34
b(jednotlitro)m(v)m(\023)-46 b(e)34 b(lah)m(v)m(e)g(ur)m(\024)-46
b(cete)33 b(k)m(ompres)-11 b(\023)-38 b(\020)35 b(plyn)m(u.)0
3588 y
SDict begin H.S end
0 3588 a 0 3588 a
SDict begin 14.5 H.A end
0 3588 a 0 3588 a
SDict begin [ /View [/XYZ H.V] /Dest (Item.8) cvn H.B /DEST pdfmark end
0 3588 a Black
119 3729 a Fh(8.)p Black 49 w(Stejn)q(\023)-50 b(ym)41
b(p)s(ostup)s(em)g(zm)m(\024)-46 b(e)-5 b(\024)-43 b(rte)40
b(ob)5 b(jem)41 b(hadi)m(\024)-46 b(cky)42 b(sp)s(o)5
b(juj)-11 b(\023)-38 b(\020c)-11 b(\023)-38 b(\020)41
b(b)m(yretu)g(s)g(m)m(\024)-46 b(e)-5 b(\024)-43 b(ren)q(\023)-50
b(ym)41 b(prostorem.)244 3849 y(T)-8 b(uto)33 b(ho)s(dnotu)f(o)s(de)m
(\024)-46 b(ct)m(\024)g(ete)34 b(o)s(d)e(v)q(\023)-50
b(ysledku)35 b(p)s(o)s(dle)e(b)s(o)s(du)f(4.)0 4017 y
SDict begin H.S end
 
0 4017 a 0 4017 a
SDict begin 14.5 H.A end
0 4017 a 0 4017 a
SDict begin [ /View [/XYZ H.V] /Dest (section.2) cvn H.B /DEST pdfmark end
0 4017 a 163 x Fi(2)264
4145 y(\023)242 4180 y(Uv)l(o)t(d)0 4399 y Fh(P)m(oissono)m(v)-5
b(a)39 b(k)m(onstan)m(ta)f Fg(\024)g Fh(je)f(p)s(om)m(\024)-46
b(er)38 b(m)m(\024)-46 b(ern)m(\023)g(eho)39 b(tepla)e
Fg(C)2179 4414 y Ff(P)2275 4399 y Fh(p)-5 b(\024)-43
b(ri)37 b(st\023)-49 b(al)m(\023)j(em)38 b(tlaku)g(k)m(e)g(m)m(\024)-46
b(ern)m(\023)g(em)m(u)40 b(teplu)0 4519 y Fg(C)70 4534
y Ff(V)163 4519 y Fh(p)-5 b(\024)-43 b(ri)32 b(st\023)-49
b(al)m(\023)j(em)33 b(ob)5 b(jem)m(u)1707 4683 y Fg(\024)28
b Fh(=)1906 4615 y Fg(C)1976 4630 y Ff(P)p 1905 4659
131 4 v 1905 4751 a Fg(C)1975 4766 y Ff(V)2045 4683 y
Fg(:)146 4893 y(\024)49 b Fh(m\023)-49 b(a)48 b(v)m(e)i(v)-5
b(\024)-44 b(sec)m(h)50 b(sousta)m(v\023)-49 b(ac)m(h)51
b(stejnou)46 b(\024)-46 b(c)-11 b(\023)-38 b(\020selnou)50
b(ho)s(dnotu.)f(Pro)f(v)-5 b(\024)-44 b(sec)m(hn)m(y)52
b(plyn)m(y)e(je)e(p)s(om)m(\024)-46 b(er)0 5013 y(sp)s(eci\014c)m(k)q
(\023)c(yc)m(h)44 b(tep)s(el)d Fg(\024)f Fh(v)m(\024)-46
b(et)-5 b(\024)-44 b(s)-11 b(\023)-38 b(\020)41 b(ne)m(\024)-46
b(z)41 b(1)f(a)g(z\023)-49 b(avis)-11 b(\023)-38 b(\020)41
b(na)f(p)s(o)m(\024)-46 b(ctu)40 b(atom)-9 b(\027)-64
b(u)41 b(v)f(molekule)i(plyn)m(u.)f(Ho)s(dnotu)f Fg(\024)0
5133 y Fh(m)-9 b(\027)-64 b(u)m(\024)-46 b(zeme)34 b(ur)m(\024)-46
b(cit)33 b(ze)g(zm)m(\024)-46 b(en)m(y)35 b(tlaku)e(p)-5
b(\024)-43 b(ri)31 b(adiabatic)m(k)m(\023)-46 b(em)35
b(d)m(\024)-46 b(eji,)33 b(kter)q(\023)-50 b(y)33 b(je)g(p)s(ops\023)
-49 b(an)33 b(P)m(oissono)m(v)m(ou)h(ro)m(vnic)-11 b(\023)-38
b(\020)1604 5362 y Fg(pV)1732 5320 y Ff(\024)1804 5362
y Fh(=)28 b Fg(k)s(onst:)146 5570 y Fh(kde)34 b Fg(p)p
Fh(,)e Fg(V)55 b Fh(jsou)32 b(tlak)h(a)f(ob)5 b(jem)34
b(plyn)m(u.)146 5691 y(Pro)22 b(m)m(\024)-46 b(e)-5 b(\024)-43
b(ren)-11 b(\023)-38 b(\020)22 b(P)m(oissono)m(vy)i(k)m(onstan)m(t)m(y)
g(vzduc)m(h)m(u)g(jsme)f(mimo)f(jin)m(\023)-46 b(e)22
b(p)s(ou)m(\024)-46 b(zili)22 b(Cl)m(\023)-46 b(emen)m(to)m(vu-D)m
(\023)g(esormeso)m(vu)0 5811 y(meto)s(du.)36 b(Jej)-11
b(\023)-38 b(\020)m(\024)-46 b(z)36 b(princip)g(sp)s(o)m(\024)-46
b(c)-11 b(\023)-38 b(\020v\023)-49 b(a)36 b(v)m(e)g(stla)m(\024)-46
b(cen)-11 b(\023)-38 b(\020)37 b(vzduc)m(h)m(u)g(v)m(e)g(v)m(elk)m
(\023)-46 b(e)37 b(b\023)-49 b(ani,)35 b(ab)m(y)h(m)m(\024)-46
b(el)36 b(proti)f(vn)m(\024)-46 b(ej)-5 b(\024)-44 b(s)-11
b(\023)-38 b(\020m)m(u)0 5086 y(barometric)m(k)m(\023)-46
b(em)m(u)40 b(tlaku)d Ff(b)h Fh(p)-5 b(\024)-43 b(retlak)37
b Ff(h)p Fh(.)g(T)-8 b(en)38 b(o)s(de)m(\024)-46 b(cteme)38
b(jak)m(o)g(v)q(\023)-50 b(y)-5 b(\024)-44 b(sk)m(o)m(v)q(\023)-50
b(y)40 b(rozd)-11 b(\023)-38 b(\020l)38 b(hladin)f(otev)-5
b(\024)-43 b(ren)m(\023)d(eho)0 5207 y(manometru,)33
b(kter)q(\023)-50 b(y)34 b(je)f(k)g(b\023)-49 b(ani)33
b(p)-5 b(\024)-43 b(rip)s(o)5 b(jen.)32 b(Tlak)h(vzduc)m(h)m(u)i(v)e
(b\023)-49 b(ani)33 b(je)g(pak)1658 5427 y Ff(p)1707
5442 y Fd(1)1774 5427 y Fh(=)27 b Ff(b)c Fh(+)f Ff(h:)146
5647 y Fh(P)-5 b(\024)-43 b(r)-11 b(\023)-38 b(\020slu)-5
b(\024)-44 b(sn)q(\023)-50 b(y)33 b(ob)5 b(jem)32 b(vzduc)m(h)m(u)i(p)
-5 b(\024)-43 b(red)31 b(adiabatic)m(k)m(ou)h(expanz)-11
b(\023)-38 b(\020)33 b(je)e Ff(V)2554 5662 y Fd(1)2594
5647 y Fh(,)g(p)s(o)g(adiabatic)m(k)m(\023)-46 b(e)32
b(expanzi)h Ff(V)3713 5662 y Fd(2)3752 5647 y Fh(.)0
5767 y(T)-8 b(eplotu)44 b(plyn)m(u,)h(kter\023)-49 b(a)43
b(b)m(y)h(m)m(\024)-46 b(ela)44 b(b)q(\023)-50 b(yt)44
b(sho)s(dn\023)-49 b(a)43 b(s)h(teplotou)f(ok)m(ol)-11
b(\023)-38 b(\020)44 b(b\023)-49 b(an)m(\024)j(e)43 b(rozum)-11
b(\023)-38 b(\020me)45 b Ff(T)3345 5782 y Fd(1)3384 5767
y Fh(.)e(Vnit)-5 b(\024)-43 b(rek)p Black Black eop end
b(\023)-38 b(\020m)m(u)p Black Black eop end
%%Page: 2 2
TeXDict begin 2 1 bop 0 0 a
SDict begin /product where{pop product(Distiller)search{pop pop pop version(.)search{exch pop exch pop(3011)eq{gsave newpath 0 0 moveto closepath clip/Courier findfont 10 scalefont setfont 72 72 moveto(.)show grestore}if}{pop}ifelse}{pop}ifelse}if end
1982,247 → 2066,342
SDict begin H.R end
0 -207 a 0 -207 a
SDict begin [ /View [/XYZ H.V] /Dest (page.2) cvn H.B /DEST pdfmark end
0 -207 a Black Black 307 x Fh(b\023)-49
b(an)m(\024)j(e)32 b(je)g(o)s(d)f(vn)m(\024)-46 b(ej)-5
b(\024)-44 b(s)-11 b(\023)-38 b(\020ho)33 b(vzduc)m(h)m(u)h(o)s(dd)m
(\024)-46 b(elen)32 b(mem)m(br\023)-49 b(ano)m(v)q(\023)f(ym)35
0 -207 a Black Black 307 x Fh(barometric)m(k)m
(\023)-46 b(em)m(u)40 b(tlaku)d Fg(b)h Fh(p)-5 b(\024)-43
b(retlak)37 b Fg(h)p Fh(.)g(T)-8 b(en)38 b(o)s(de)m(\024)-46
b(cteme)38 b(jak)m(o)g(v)q(\023)-50 b(y)-5 b(\024)-44
b(sk)m(o)m(v)q(\023)-50 b(y)40 b(rozd)-11 b(\023)-38
b(\020l)38 b(hladin)f(otev)-5 b(\024)-43 b(ren)m(\023)d(eho)0
220 y(manometru,)33 b(kter)q(\023)-50 b(y)34 b(je)f(k)g(b\023)-49
b(ani)33 b(p)-5 b(\024)-43 b(rip)s(o)5 b(jen.)32 b(Tlak)h(vzduc)m(h)m
(u)i(v)e(b\023)-49 b(ani)33 b(je)g(pak)1658 440 y Fg(p)1707
455 y Fe(1)1774 440 y Fh(=)27 b Fg(b)c Fh(+)f Fg(h:)146
660 y Fh(P)-5 b(\024)-43 b(r)-11 b(\023)-38 b(\020slu)-5
b(\024)-44 b(sn)q(\023)-50 b(y)33 b(ob)5 b(jem)32 b(vzduc)m(h)m(u)i(p)
-5 b(\024)-43 b(red)31 b(adiabatic)m(k)m(ou)h(expanz)-11
b(\023)-38 b(\020)33 b(je)e Fg(V)2554 675 y Fe(1)2594
660 y Fh(,)g(p)s(o)g(adiabatic)m(k)m(\023)-46 b(e)32
b(expanzi)h Fg(V)3713 675 y Fe(2)3752 660 y Fh(.)0 781
y(T)-8 b(eplotu)44 b(plyn)m(u,)h(kter\023)-49 b(a)43
b(b)m(y)h(m)m(\024)-46 b(ela)44 b(b)q(\023)-50 b(yt)44
b(sho)s(dn\023)-49 b(a)43 b(s)h(teplotou)f(ok)m(ol)-11
b(\023)-38 b(\020)44 b(b\023)-49 b(an)m(\024)j(e)43 b(rozum)-11
b(\023)-38 b(\020me)45 b Fg(T)3345 796 y Fe(1)3384 781
y Fh(.)e(Vnit)-5 b(\024)-43 b(rek)0 901 y(b\023)-49 b(an)m(\024)j(e)32
b(je)g(o)s(d)f(vn)m(\024)-46 b(ej)-5 b(\024)-44 b(s)-11
b(\023)-38 b(\020ho)33 b(vzduc)m(h)m(u)h(o)s(dd)m(\024)-46
b(elen)32 b(mem)m(br\023)-49 b(ano)m(v)q(\023)f(ym)35
b(z\023)-49 b(av)m(\024)j(erem.)33 b(Otev)-5 b(\024)-43
b(reme-li)32 b(jej)f(dostate)m(\024)-46 b(cn)m(\024)g(e)0
220 y(ale)38 b(na)f(v)m(elmi)i(kr\023)-49 b(atk)m(ou)38
1021 y(ale)38 b(na)f(v)m(elmi)i(kr\023)-49 b(atk)m(ou)38
b(dobu,)g(vyro)m(vna)5 b(j)-11 b(\023)-38 b(\020)40 b(se)e(tlaky)g
(uvnit)-5 b(\024)-43 b(r)37 b(a)g(vn)m(\024)-46 b(e)39
b(na)e(ho)s(dnotu)h(barometric)m(k)m(\023)-46 b(eho)0
340 y(tlaku)33 b Ff(b)p Fh(.)1746 528 y Ff(p)1795 543
y Fd(2)1862 528 y Fh(=)27 b Ff(b:)146 716 y Fh(Prob)m(\024)-46
1142 y(tlaku)33 b Fg(b)p Fh(.)1746 1362 y Fg(p)1795 1377
y Fe(2)1862 1362 y Fh(=)27 b Fg(b:)146 1582 y Fh(Prob)m(\024)-46
b(ehne)30 b(tedy)e(adiabatic)m(k\023)-49 b(a)29 b(expanze)h(vzduc)m(h)m
(u)g(v)e(b\023)-49 b(ani)29 b(z)f(p)s(o)m(\024)-46 b(c\023)d(ate)m
(\024)j(cn)-11 b(\023)-38 b(\020c)m(h)29 b(p)s(o)s(dm)-11
b(\023)-38 b(\020nek)29 b Ff(V)3445 731 y Fd(1)3485 716
y Fh(,)f Ff(T)3597 731 y Fd(1)3636 716 y Fh(,)g Ff(p)3740
731 y Fd(1)0 836 y Fh(do)35 b(sta)m(vu)h(ur)m(\024)-46
b(\023)-38 b(\020nek)29 b Fg(V)3445 1597 y Fe(1)3485
1582 y Fh(,)f Fg(T)3597 1597 y Fe(1)3636 1582 y Fh(,)g
Fg(p)3740 1597 y Fe(1)0 1702 y Fh(do)35 b(sta)m(vu)h(ur)m(\024)-46
b(cen)m(\023)g(eho)36 b(v)m(eli)m(\024)-46 b(cinami)37
b Ff(V)1335 851 y Fd(2)1374 836 y Fh(,)e Ff(T)1493 851
y Fd(2)1662 836 y Ff(<)c(T)1826 851 y Fd(1)1866 836 y
Fh(,)j Ff(p)1976 851 y Fd(2)2051 836 y Fh(\(kde)h Ff(V)2329
851 y Fd(2)2403 836 y Fh(je)g(ob)5 b(jem)36 b(b\023)-49
b(an)m(\024)j(e\).)35 b(P)m(o)g(dosti)h(dlouh)m(\023)-46
b(e)0 957 y(dob)m(\024)g(e)43 b(se)h(teplota)f(vzduc)m(h)m(u)j(v)d
b Fg(V)1335 1717 y Fe(2)1374 1702 y Fh(,)e Fg(T)1493
1717 y Fe(2)1662 1702 y Fg(<)c(T)1826 1717 y Fe(1)1866
1702 y Fh(,)j Fg(p)1976 1717 y Fe(2)2051 1702 y Fh(\(kde)h
Fg(V)2329 1717 y Fe(2)2403 1702 y Fh(je)g(ob)5 b(jem)36
b(b\023)-49 b(an)m(\024)j(e\).)35 b(P)m(o)g(dosti)h(dlouh)m(\023)-46
b(e)0 1822 y(dob)m(\024)g(e)43 b(se)h(teplota)f(vzduc)m(h)m(u)j(v)d
(b\023)-49 b(ani)43 b(vyro)m(vn\023)-49 b(a)45 b(na)d(vn)m(\024)-46
b(ej)-5 b(\024)-44 b(s)-11 b(\023)-38 b(\020)45 b(teplotu)e
Ff(T)2644 972 y Fd(1)2727 957 y Fh(a)f(tlak)i(p)-5 b(\024)-43
b(ritom)42 b(stoupne)i(o)0 1077 y(p)-5 b(\024)-43 b(r)-11
b(\023)-38 b(\020r)-9 b(\027)-64 b(ustek)33 b Ff(h)471
1041 y Fc(0)495 1077 y Fh(,)f(kter)q(\023)-50 b(y)34
b(zm)m(\024)-46 b(e)-5 b(\024)-43 b(r)-11 b(\023)-38
Fg(T)2644 1837 y Fe(1)2727 1822 y Fh(a)f(tlak)i(p)-5
b(\024)-43 b(ritom)42 b(stoupne)i(o)0 1943 y(p)-5 b(\024)-43
b(r)-11 b(\023)-38 b(\020r)-9 b(\027)-64 b(ustek)33 b
Fg(h)471 1907 y Fd(0)495 1943 y Fh(,)f(kter)q(\023)-50
b(y)34 b(zm)m(\024)-46 b(e)-5 b(\024)-43 b(r)-11 b(\023)-38
b(\020me.)33 b(T)-8 b(ato)33 b(zm)m(\024)-46 b(ena)33
b(je)g(izo)s(c)m(horic)m(k\023)-49 b(a.)34 b(Celk)m(o)m(v)q(\023)-50
b(y)35 b(tlak)e(je)1638 1265 y Ff(p)1687 1280 y Fd(3)1754
1265 y Fh(=)27 b Ff(b)c Fh(+)f Ff(h)2075 1224 y Fe(I)2115
1265 y Ff(:)146 1453 y Fh(Pro)43 b(prvn)-11 b(\023)-38
b(y)35 b(tlak)e(je)1638 2163 y Fg(p)1687 2178 y Fe(3)1754
2163 y Fh(=)27 b Fg(b)c Fh(+)f Fg(h)2075 2122 y Ff(I)2115
2163 y Fg(:)146 2383 y Fh(Pro)43 b(prvn)-11 b(\023)-38
b(\020)44 b(\(adiabatic)m(k)m(ou\))h(zm)m(\024)-46 b(en)m(u)44
b(sta)m(vu)h(vzduc)m(h)m(u)g(dostaneme)g(z)e(P)m(oissono)m(vy)j(ro)m
(vnice)e(za)0 1573 y(p)-5 b(\024)-43 b(redp)s(okladu,)30
(vnice)e(za)0 2503 y(p)-5 b(\024)-43 b(redp)s(okladu,)30
b(\024)-46 b(ze)33 b(vzduc)m(h)i(m)-9 b(\027)-64 b(u)m(\024)-46
b(zeme)34 b(p)s(o)m(v)-5 b(a)m(\024)-46 b(zo)m(v)-5 b(at)32
b(za)h(ide\023)-49 b(aln)-11 b(\023)-38 b(\020)33 b(plyn,)1616
1738 y Ff(p)1665 1753 y Fd(1)p 1616 1783 89 4 v 1616
1874 a Ff(p)1665 1889 y Fd(2)1742 1806 y Fh(=)1846 1685
y Fb(\022)1917 1738 y Ff(V)1974 1753 y Fd(2)p 1917 1783
97 4 v 1917 1874 a Ff(V)1974 1889 y Fd(1)2023 1685 y
Fb(\023)2085 1697 y Fe(\024)2146 1806 y Ff(:)146 2038
y Fh(Zm)m(\024)-46 b(ena)34 b(ze)h(sta)m(vu)f Ff(V)906
2053 y Fd(1)946 2038 y Fh(,)g Ff(T)1064 2053 y Fd(1)1103
2038 y Fh(,)g Ff(p)1213 2053 y Fd(1)1286 2038 y Fh(do)g(sta)m(vu)g
Ff(V)1741 2053 y Fd(3)1810 2038 y Fh(=)c Ff(V)1973 2053
y Fd(2)2012 2038 y Fh(,)k Ff(T)2130 2053 y Fd(3)2199
2038 y Fh(=)c Ff(T)2362 2053 y Fd(1)2401 2038 y Fh(,)k
Ff(p)2511 2053 y Fd(3)2584 2038 y Fh(je)g(izotermic)m(k\023)-49
2701 y Fg(p)1665 2716 y Fe(1)p 1616 2745 89 4 v 1616
2837 a Fg(p)1665 2852 y Fe(2)1742 2768 y Fh(=)1846 2647
y Fc(\022)1917 2701 y Fg(V)1974 2716 y Fe(2)p 1917 2745
97 4 v 1917 2837 a Fg(V)1974 2852 y Fe(1)2023 2647 y
Fc(\023)2085 2659 y Ff(\024)2146 2768 y Fg(:)146 3033
y Fh(Zm)m(\024)-46 b(ena)34 b(ze)h(sta)m(vu)f Fg(V)906
3048 y Fe(1)946 3033 y Fh(,)g Fg(T)1064 3048 y Fe(1)1103
3033 y Fh(,)g Fg(p)1213 3048 y Fe(1)1286 3033 y Fh(do)g(sta)m(vu)g
Fg(V)1741 3048 y Fe(3)1810 3033 y Fh(=)c Fg(V)1973 3048
y Fe(2)2012 3033 y Fh(,)k Fg(T)2130 3048 y Fe(3)2199
3033 y Fh(=)c Fg(T)2362 3048 y Fe(1)2401 3033 y Fh(,)k
Fg(p)2511 3048 y Fe(3)2584 3033 y Fh(je)g(izotermic)m(k\023)-49
b(a)35 b(a)f(plat)-11 b(\023)-38 b(\020)34 b(pro)f(ni)0
2159 y(Bo)m(yle-Mariotte)-9 b(\027)-64 b(uv)34 b(z\023)-49
b(ak)m(on)1708 2255 y Ff(p)1757 2270 y Fd(1)p 1708 2299
89 4 v 1708 2390 a Ff(p)1757 2405 y Fd(3)1834 2322 y
Fh(=)1948 2255 y Ff(V)2005 2270 y Fd(2)p 1948 2299 97
4 v 1948 2390 a Ff(V)2005 2405 y Fd(1)2054 2322 y Ff(:)146
2527 y Fh(Slou)m(\024)j(c)-11 b(\023)-38 b(\020me-li)34
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b(zm)m(\024)-46 b(e)-5 b(\024)-43 b(rit)27 b(\024)-46
b(z\023)d(adn)q(\023)f(ym)0 4547 y(z)25 b(v)g(n\023)-49
b(av)m(o)s(du)26 b([)p 0 1 0 TeXcolorrgb 508 4547 a
SDict begin H.S end
531 5811 a 0 1 0 TeXcolorrgb Fh(1)p
0 1 0 TeXcolorrgb 580 5747 a
508
4547 a 0 1 0 TeXcolorrgb Fh(1)p 0 1 0 TeXcolorrgb 556
4483 a
SDict begin H.R end
580 5747 a 580 5811 a
556 4483 a 556 4547 a
SDict begin [ /Color [0 1 0] /H /I /Border [0 0 0] /Subtype /Link /Dest (cite.objemy) cvn H.B /ANN pdfmark end
580
5811 a Black Fh(])f(p)s(opsan)q(\023)-50 b(yc)m(h)35
b(p)s(ostup)-9 b(\027)-64 b(u.)p Black Black eop end
%%Page: 3 3
TeXDict begin 3 2 bop 0 0 a
SDict begin /product where{pop product(Distiller)search{pop pop pop version(.)search{exch pop exch pop(3011)eq{gsave newpath 0 0 moveto closepath clip/Courier findfont 10 scalefont setfont 72 72 moveto(.)show grestore}if}{pop}ifelse}{pop}ifelse}if end
0 0 a Black 0 TeXcolorgray
0 -207 a
556 4547 a Black Fh(])f(p)s(opsan)q(\023)
-50 b(yc)m(h)27 b(p)s(ostup)-9 b(\027)-64 b(u.)25 b(Pr)-9
b(\027)-64 b(um)m(\024)-46 b(ernou)26 b(zm)m(\024)-46
b(e)-5 b(\024)-43 b(renou)25 b(ho)s(dnotou)g(je)g(1)p
Fg(;)17 b Fh(29)6 b Fb(\006)g Fh(0)p Fg(;)17 b Fh(03.)23
b(Ostatn)-11 b(\023)-38 b(\020)0 4667 y(k)m(onstan)m(t)m(y)35
b(p)s(ot)-5 b(\024)-43 b(rebn)m(\023)d(e)32 b(pro)g(v)q(\023)-50
b(yp)s(o)m(\024)k(cet)34 b(jsou)f(p)-5 b(\024)-43 b(revzat)m(\023)d(e)
33 b(z)g(n\023)-49 b(av)m(o)s(du)33 b(k)i(\023)-51 b(uloze.)0
4837 y
SDict begin H.S end
0 -207 a 0 TeXcolorgray 0 TeXcolorgray 0 -207
a
SDict begin H.R end
0 -207 a 0 -207 a
SDict begin [ /View [/XYZ H.V] /Dest (page.3) cvn H.B /DEST pdfmark end
0 -207 a Black Black Black Black
84 736 a Fh(T)-8 b(abulk)j(a)33 b(1:)p 0 TeXcolorgray
566 736 a
SDict begin H.S end
566 736 a 0 TeXcolorgray 0 TeXcolorgray 566
736 a
SDict begin H.R end
566 736 a 566 736 a
SDict begin [ /View [/XYZ H.V] /Dest (table.1) cvn H.B /DEST pdfmark end
566 736 a Black Fh(Nam)m(\024)-46
b(e)-5 b(\024)-43 b(ren)m(\023)d(e)33 b(ho)s(dnot)m(y)g(P)m(oissono)m
(vy)i(k)m(onstan)m(t)m(y)g(Clemen)m(t-Desormeso)m(v)m(o)h(meto)s(dou)p
Black Black Black 990 875 1800 4 v 988 995 4 121 v 1040
959 a(h1)c([mm])p 1440 995 V 101 w(t[ms])p 1752 995 V
100 w(h2)h([mm])p 2203 995 V 100 w(t[ms])p 2515 995 V
159 w Ff(\024)p 2788 995 V 990 999 1800 4 v 988 1119
4 121 v 1129 1083 a Fh(31,5)p 1440 1119 V 246 w(88)p
1752 1119 V 245 w(9,10)p 2203 1119 V 246 w(88)p 2515
1119 V 156 w(1,41)p 2788 1119 V 990 1122 1800 4 v 988
1243 4 121 v 1129 1207 a(31,2)p 1440 1243 V 246 w(85)p
1752 1243 V 245 w(9,00)p 2203 1243 V 246 w(85)p 2515
1243 V 156 w(1,41)p 2788 1243 V 990 1246 1800 4 v 988
1367 4 121 v 1129 1330 a(31,4)p 1440 1367 V 221 w(103)p
1752 1367 V 221 w(9,20)p 2203 1367 V 222 w(103)p 2515
1367 V 131 w(1,41)p 2788 1367 V 990 1370 1800 4 v 988
1490 4 121 v 1129 1454 a(31,2)p 1440 1490 V 221 w(130)p
1752 1490 V 221 w(8,70)p 2203 1490 V 222 w(130)p 2515
1490 V 131 w(1,39)p 2788 1490 V 990 1494 1800 4 v 988
1614 4 121 v 1129 1578 a(31,4)p 1440 1614 V 221 w(138)p
1752 1614 V 221 w(8,50)p 2203 1614 V 222 w(138)p 2515
1614 V 131 w(1,37)p 2788 1614 V 990 1617 1800 4 v Black
Black 0 3128 a(T)-8 b(abulk)j(a)36 b(2:)p 0 TeXcolorgray
489 3128 a
SDict begin H.S end
489 3128 a 0 TeXcolorgray 0 TeXcolorgray 489
3128 a
SDict begin H.R end
489 3128 a 489 3128 a
SDict begin [ /View [/XYZ H.V] /Dest (table.2) cvn H.B /DEST pdfmark end
489 3128 a Black Fh(P)m(o)s(ct)m(y)h(p)s
(erio)s(d)e(pistu)i(v)f(p)s(etimin)m(uto)m(v)m(em)j(mericim)e(in)m
(terv)-5 b(alu)37 b(a)e(vyp)s(o)s(ctena)i(ho)s(dnota)0
3249 y(P)m(oisso)m(vno)m(vy)f(k)m(onstan)m(t)m(y)p Black
Black 1568 3387 644 4 v 1566 3508 4 121 v 1618 3472 a(p)s(erio)s(d)p
1937 3508 V 158 w Ff(\024)p 2210 3508 V 1568 3511 644
4 v 1566 3632 4 121 v 1680 3595 a Fh(859)p 1937 3632
V 161 w(1,27)p 2210 3632 V 1568 3635 644 4 v 1566 3755
4 121 v 1680 3719 a(862)p 1937 3755 V 161 w(1,28)p 2210
3755 V 1568 3759 644 4 v 1566 3879 4 121 v 1680 3843
a(865)p 1937 3879 V 161 w(1,29)p 2210 3879 V 1568 3882
644 4 v 1566 4003 4 121 v 1680 3967 a(863)p 1937 4003
V 161 w(1,29)p 2210 4003 V 1568 4006 644 4 v 1566 4126
4 121 v 1680 4090 a(864)p 1937 4126 V 161 w(1,29)p 2210
4126 V 1568 4130 644 4 v 1566 4250 4 121 v 1680 4214
a(865)p 1937 4250 V 161 w(1,29)p 2210 4250 V 1568 4253
644 4 v 1566 4374 4 121 v 1680 4338 a(866)p 1937 4374
V 161 w(1,29)p 2210 4374 V 1568 4377 644 4 v 1566 4497
4 121 v 1680 4461 a(867)p 1937 4497 V 161 w(1,30)p 2210
4497 V 1568 4501 644 4 v 1566 4621 4 121 v 1680 4585
a(858)p 1937 4621 V 161 w(1,27)p 2210 4621 V 1568 4625
644 4 v 1566 4745 4 121 v 1680 4709 a(862)p 1937 4745
V 161 w(1,28)p 2210 4745 V 1568 4748 644 4 v 1566 4869
4 121 v 1680 4832 a(866)p 1937 4869 V 161 w(1,29)p 2210
4869 V 1568 4872 644 4 v 1566 4992 4 121 v 1680 4956
a(870)p 1937 4992 V 161 w(1,31)p 2210 4992 V 1568 4996
644 4 v 1566 5116 4 121 v 1680 5080 a(872)p 1937 5116
V 161 w(1,31)p 2210 5116 V 1568 5119 644 4 v Black Black
Black eop end
0 4837 a 0 4837 a
SDict begin 14.5 H.A end
0 4837 a 0 4837 a
SDict begin [ /View [/XYZ H.V] /Dest (section.4) cvn H.B /DEST pdfmark end
0 4837 a 163
x Fi(4)161 b(Diskuse)0 5219 y Fh(Z)33 b(v)q(\023)-50
b(ysledk)-9 b(\027)-64 b(u)36 b(nam)m(\024)-46 b(e)-5
b(\024)-43 b(ren)q(\023)-50 b(yc)m(h)34 b(v)g(c)m(hronologic)m(k)m
(\023)-46 b(em)35 b(p)s(o)-5 b(\024)-43 b(rad)-11 b(\023)-38
b(\020)32 b(lze)i(vyp)s(ozoro)m(v)-5 b(at)34 b(m)-11
b(\023)-38 b(\020rnou)33 b(stabiln)-11 b(\023)-38 b(\020)34
b(v)-5 b(ariaci)0 5339 y(v)42 b(pr)-9 b(\027)-64 b(ub)m(\024)-46
b(eh)m(u)42 b(m)m(\024)-46 b(e)-5 b(\024)-43 b(ren)-11
b(\023)-38 b(\020.)42 b(T)-8 b(en)m(to)42 b(jev)f(b)m(y)h(mohl)g(b)q
(\023)-50 b(yt)41 b(zp)-9 b(\027)-64 b(usob)s(en)43 b(bud)2454
5329 y(')2523 5339 y(zm)m(\024)-46 b(enou)42 b(vlastnost)-11
b(\023)-38 b(\020)43 b(aparatury)-8 b(,)0 5460 y(neb)s(o)40
b(skute)m(\024)-46 b(cn)m(\024)g(e)42 b(zm)m(\024)-46
b(enou)41 b(slo)m(\024)-46 b(zen)-11 b(\023)-38 b(\020)41
b(vzduc)m(h)m(u.)h(Nejpra)m(vd)m(\024)-46 b(ep)s(o)s(dobn)m(\024)g(ej)
-5 b(\024)-44 b(s)-11 b(\023)-38 b(\020)42 b(asi)e(bude)h(k)m(om)m
(binace)h(ob)s(ou)0 5580 y(t)m(\024)-46 b(ec)m(h)m(to)28
b(jev)-9 b(\027)-64 b(u.)29 b(Kdy)e(p)-5 b(\024)-43 b(ri)27
b(m)m(\024)-46 b(e)-5 b(\024)-43 b(ren)-11 b(\023)-38
b(\020)27 b(meto)s(dou)h(kmita)5 b(j)-11 b(\023)-38 b(\020c)-11
b(\023)-38 b(\020ho)28 b(p)-11 b(\023)-38 b(\020stu)28
b(m)-9 b(\027)-64 b(u)m(\024)-46 b(ze)29 b(do)s(c)m(h\023)-49
b(azet)28 b(k)g(m)-11 b(\023)-38 b(\020rn)q(\023)-50
b(ym)28 b(zm)m(\024)-46 b(en\023)d(am)0 5700 y(v)35 b(pr)-9
b(\027)-64 b(utoku)35 b(vzduc)m(h)m(u)i(a)d(na)m(v)-11
b(\023)-38 b(\020c)35 b(i)f(dob)m(y)i(p)s(o)d(kter)m(\023)-46
b(e)33 b(\024)-46 b(c)-11 b(\023)-38 b(\020ta)m(\024)-46
b(c)35 b(p)s(o)m(\024)-46 b(c)-11 b(\023)-38 b(\020t\023)-49
b(a)34 b(kmit)m(y)h(v\023)-49 b(ale)m(\024)j(cku)36 b(nem)m(us)-11
b(\023)-38 b(\020)37 b(b)q(\023)-50 b(yt)37 b(\023)-51
b(upln)m(\024)-46 b(e)p Black Black eop end
%%Page: 4 4
TeXDict begin 4 3 bop 0 0 a
SDict begin /product where{pop product(Distiller)search{pop pop pop version(.)search{exch pop exch pop(3011)eq{gsave newpath 0 0 moveto closepath clip/Courier findfont 10 scalefont setfont 72 72 moveto(.)show grestore}if}{pop}ifelse}{pop}ifelse}if end
2234,102 → 2413,101
SDict begin H.R end
0 -207 a 0 -207 a
SDict begin [ /View [/XYZ H.V] /Dest (page.4) cvn H.B /DEST pdfmark end
0 -207 a Black Black 0 0 a
0 -207 a Black Black Black 359 x
Fh(T)-8 b(abulk)j(a)36 b(2:)p 0 TeXcolorgray 489 152
a
SDict begin H.S end
0 0 a
0 0 a
SDict begin 14.5 H.A end
0 0 a 0 0 a
SDict begin [ /View [/XYZ H.V] /Dest (section.4) cvn H.B /DEST pdfmark end
0 0 a 100 x Fi(4)161 b(Diskuse)0 319
y Fh(Z)33 b(v)q(\023)-50 b(ysledk)-9 b(\027)-64 b(u)36
b(nam)m(\024)-46 b(e)-5 b(\024)-43 b(ren)q(\023)-50 b(yc)m(h)34
b(v)g(c)m(hronologic)m(k)m(\023)-46 b(em)35 b(p)s(o)-5
b(\024)-43 b(rad)-11 b(\023)-38 b(\020)32 b(lze)i(vyp)s(ozoro)m(v)-5
b(at)34 b(m)-11 b(\023)-38 b(\020rnou)33 b(stabiln)-11
b(\023)-38 b(\020)34 b(v)-5 b(ariaci)0 439 y(v)42 b(pr)-9
b(\027)-64 b(ub)m(\024)-46 b(eh)m(u)42 b(m)m(\024)-46
b(e)-5 b(\024)-43 b(ren)-11 b(\023)-38 b(\020.)42 b(T)-8
b(en)m(to)42 b(jev)f(b)m(y)h(mohl)g(b)q(\023)-50 b(yt)41
b(zp)-9 b(\027)-64 b(usob)s(en)43 b(bud)2454 429 y(')2523
439 y(zm)m(\024)-46 b(enou)42 b(vlastnost)-11 b(\023)-38
b(\020)43 b(aparatury)-8 b(,)0 560 y(neb)s(o)40 b(skute)m(\024)-46
b(cn)m(\024)g(e)42 b(zm)m(\024)-46 b(enou)41 b(slo)m(\024)-46
b(zen)-11 b(\023)-38 b(\020)41 b(vzduc)m(h)m(u.)h(Nejpra)m(vd)m(\024)
-46 b(ep)s(o)s(dobn)m(\024)g(ej)-5 b(\024)-44 b(s)-11
b(\023)-38 b(\020)42 b(asi)e(bude)h(k)m(om)m(binace)h(ob)s(ou)0
680 y(t)m(\024)-46 b(ec)m(h)m(to)28 b(jev)-9 b(\027)-64
b(u.)29 b(Kdy)e(p)-5 b(\024)-43 b(ri)27 b(m)m(\024)-46
b(e)-5 b(\024)-43 b(ren)-11 b(\023)-38 b(\020)27 b(meto)s(dou)h(kmita)5
b(j)-11 b(\023)-38 b(\020c)-11 b(\023)-38 b(\020ho)28
b(p)-11 b(\023)-38 b(\020stu)28 b(m)-9 b(\027)-64 b(u)m(\024)-46
b(ze)29 b(do)s(c)m(h\023)-49 b(azet)28 b(k)g(m)-11 b(\023)-38
b(\020rn)q(\023)-50 b(ym)28 b(zm)m(\024)-46 b(en\023)d(am)0
800 y(v)35 b(pr)-9 b(\027)-64 b(utoku)35 b(vzduc)m(h)m(u)i(a)d(na)m(v)
-11 b(\023)-38 b(\020c)35 b(i)f(dob)m(y)i(p)s(o)d(kter)m(\023)-46
b(e)33 b(\024)-46 b(c)-11 b(\023)-38 b(\020ta)m(\024)-46
b(c)35 b(p)s(o)m(\024)-46 b(c)-11 b(\023)-38 b(\020t\023)-49
b(a)34 b(kmit)m(y)h(v\023)-49 b(ale)m(\024)j(cku)36 b(nem)m(us)-11
b(\023)-38 b(\020)37 b(b)q(\023)-50 b(yt)37 b(\023)-51
b(upln)m(\024)-46 b(e)-3 921 y(\024)g(caso)m(v)m(\024)g(e)32
489 152 a 0 TeXcolorgray 0 TeXcolorgray 489 152 a
SDict begin H.R end
489
152 a 489 152 a
SDict begin [ /View [/XYZ H.V] /Dest (table.2) cvn H.B /DEST pdfmark end
489 152 a Black Fh(P)m(o)s(ct)m(y)h(p)s(erio)s(d)e
(pistu)i(v)f(p)s(etimin)m(uto)m(v)m(em)j(mericim)e(in)m(terv)-5
b(alu)37 b(a)e(vyp)s(o)s(ctena)i(ho)s(dnota)0 273 y(P)m(oisso)m(vno)m
(vy)f(k)m(onstan)m(t)m(y)p Black Black 1568 412 644 4
v 1566 532 4 121 v 1618 496 a(p)s(erio)s(d)p 1937 532
V 158 w Fg(\024)p 2210 532 V 1568 535 644 4 v 1566 656
4 121 v 1680 620 a Fh(859)p 1937 656 V 161 w(1,27)p 2210
656 V 1568 659 644 4 v 1566 779 4 121 v 1680 743 a(862)p
1937 779 V 161 w(1,28)p 2210 779 V 1568 783 644 4 v 1566
903 4 121 v 1680 867 a(865)p 1937 903 V 161 w(1,29)p
2210 903 V 1568 906 644 4 v 1566 1027 4 121 v 1680 991
a(863)p 1937 1027 V 161 w(1,29)p 2210 1027 V 1568 1030
644 4 v 1566 1151 4 121 v 1680 1114 a(864)p 1937 1151
V 161 w(1,29)p 2210 1151 V 1568 1154 644 4 v 1566 1274
4 121 v 1680 1238 a(865)p 1937 1274 V 161 w(1,29)p 2210
1274 V 1568 1278 644 4 v 1566 1398 4 121 v 1680 1362
a(866)p 1937 1398 V 161 w(1,29)p 2210 1398 V 1568 1401
644 4 v 1566 1522 4 121 v 1680 1485 a(867)p 1937 1522
V 161 w(1,30)p 2210 1522 V 1568 1525 644 4 v 1566 1645
4 121 v 1680 1609 a(858)p 1937 1645 V 161 w(1,27)p 2210
1645 V 1568 1649 644 4 v 1566 1769 4 121 v 1680 1733
a(862)p 1937 1769 V 161 w(1,28)p 2210 1769 V 1568 1772
644 4 v 1566 1893 4 121 v 1680 1857 a(866)p 1937 1893
V 161 w(1,29)p 2210 1893 V 1568 1896 644 4 v 1566 2016
4 121 v 1680 1980 a(870)p 1937 2016 V 161 w(1,31)p 2210
2016 V 1568 2020 644 4 v 1566 2140 4 121 v 1680 2104
a(872)p 1937 2140 V 161 w(1,31)p 2210 2140 V 1568 2143
644 4 v Black -3 2517 a(\024)-46 b(caso)m(v)m(\024)g(e)32
b(ekvidistan)m(tn)-11 b(\023)-38 b(\020.)33 b(Z)-5 b(\024)-43
b(rejm)m(\023)d(e)29 b(tak)m(\023)-46 b(e)31 b(je,)c(\024)-46
b(ze)31 b(v)g(m)-11 b(\023)-38 b(\020stnosti,)31 b(kter\023)-49
b(a)31 b(nen)-11 b(\023)-38 b(\020)31 b(p)-5 b(\024)-43
b(r)-11 b(\023)-38 b(\020li)-5 b(\024)-44 b(s)30 b(v)m(\024)-46
b(etran\023)d(a)30 b(se)h(p)s(oh)m(ybuje)0 1041 y(zna)m(\024)-46
b(etran\023)d(a)30 b(se)h(p)s(oh)m(ybuje)0 2637 y(zna)m(\024)-46
b(cn)m(\023)g(e)34 b(mno)m(\024)-46 b(zstv)-11 b(\023)-38
b(\020)34 b(lid)-11 b(\023)-38 b(\020)33 b(kte)-5 b(\024)-43
b(r)-11 b(\023)-38 b(\020)32 b(souhrnn)m(\024)-46 b(e)34
b(ob)s(ohacuj)-11 b(\023)-38 b(\020)32 b(vzduc)m(h)j(o)d(v)-11
b(\023)-38 b(\020ceatomo)m(v)m(\023)-46 b(e)35 b(molekuly)-8
b(..)0 1211 y
b(..)0 2807 y
SDict begin H.S end
0 1211 a 0 1211 a
0 2807 a 0 2807 a
SDict begin 14.5 H.A end
0 1211 a 0 1211 a
0 2807 a 0 2807 a
SDict begin [ /View [/XYZ H.V] /Dest (section.5) cvn H.B /DEST pdfmark end
0 1211
a 163 x Fi(5)161 b(Z)o(\023)-80 b(av)l(\024)j(er)0 1593
0 2807
a 163 x Fi(5)161 b(Z)o(\023)-80 b(av)l(\024)j(er)0 3189
y Fh(Z\023)-49 b(av)m(\024)j(erem)46 b(lze)41 b(\024)-43
b(r)-11 b(\023)-38 b(\020ci)43 b(\024)-46 b(ze)46 b(ho)s(dnota)f(P)m
(oissono)m(vy)j(k)m(onstan)m(t)m(y)g(vzduc)m(h)m(u)g(za)d(b)m(\024)-46
b(e)m(\024)g(zn)q(\023)c(yc)m(h)48 b(p)s(o)s(dm)-11 b(\023)-38
b(\020nek)47 b(le)m(\024)-46 b(z)-11 b(\023)-38 b(\020)0
1713 y(n)m(\024)-46 b(ekde)29 b(ok)m(olo)e(ho)s(dnot)m(y)g(1,35.)g(Co)m
3310 y(n)m(\024)-46 b(ekde)29 b(ok)m(olo)e(ho)s(dnot)m(y)g(1,35.)g(Co)m
(\024)-46 b(z)27 b(je)g(v)h(souladu)f(s)h(p)-5 b(\024)-43
b(redp)s(okladem,)25 b(\024)-46 b(ze)27 b(vzduc)m(h)i(obsah)m(uje)f(p)
-5 b(\024)-43 b(rev\023)-49 b(a)m(\024)j(zn)m(\024)g(e)0
1834 y(dv)m(ou)33 b(neb)s(o)g(v)-11 b(\023)-38 b(\020ce)34
b(atomo)m(v)m(\023)-46 b(e)33 b(plyn)m(y)-8 b(.)0 2166
y Fi(Reference)0 2265 y
3430 y(dv)m(ou)33 b(neb)s(o)g(v)-11 b(\023)-38 b(\020ce)34
b(atomo)m(v)m(\023)-46 b(e)33 b(plyn)m(y)-8 b(.)0 3763
y Fi(Reference)0 3861 y
SDict begin H.S end
0 2265 a 0 2265 a
0 3861 a 0 3861 a
SDict begin 14.5 H.A end
0 2265 a 0
2265 a
0 3861 a 0
3861 a
SDict begin [ /View [/XYZ H.V] /Dest (section*.1) cvn H.B /DEST pdfmark end
0 2265 a 0 2224 a
0 3861 a 0 3820 a
SDict begin H.S end
0 2224 a 0 2224 a
0 3820 a 0 3820 a
SDict begin 14.5 H.A end
0 2224 a 0
2224 a
0 3820 a 0
3820 a
SDict begin [ /View [/XYZ H.V] /Dest (cite.objemy) cvn H.B /DEST pdfmark end
0 2224 a Black 49 2385 a Fh([1])p Black 49 w(M)m(\024)-46
0 3820 a Black 49 3982 a Fh([1])p Black 49 w(M)m(\024)-46
b(e)-5 b(\024)-43 b(ren)-11 b(\023)-38 b(\020)276 b(dut)q(\023)-50
b(yc)m(h)278 b(ob)5 b(jem)-9 b(\027)-64 b(u)277 b(v\023)-49
b(a)m(\024)j(zen)-11 b(\023)-38 b(\020m)278 b(a)e(k)m(ompres)-11
b(\023)-38 b(\020)278 b(plyn)m(u)p 0 1 0 0 TeXcolorcmyk
201 2531 a
201 4127 a
SDict begin H.S end
201 2531 a 0 1 0 0 TeXcolorcmyk -25 x Fh(h)m(ttp://praktik)
201 4127 a 0 1 0 0 TeXcolorcmyk -25 x Fh(h)m(ttp://praktik)
-5 b(a.fj\014.cvut.cz/ob)5 b(jem)m(y/)p 0 1 0 0 TeXcolorcmyk
1737 2431 a
1737 4027 a
SDict begin H.R end
1737 2431 a 1737 2506 a
1737 4027 a 1737 4102 a
SDict begin [ /H /I /Border [0 0 0] /Color [0 1 1] /Action << /Subtype /URI /URI (http://praktika.fjfi.cvut.cz/objemy/) >> /Subtype /Link H.B /ANN pdfmark end
1737 2506 a Black
1737 4102 a Black
Black Black eop end
%%Trailer
 
/dokumenty/PRA1/4-Poisson/poisson.tex
17,15 → 17,20
 
\end{abstract}
 
\section{Úvod}
\section{Pracovní úkoly}
\begin{enumerate}
\item Změřte kompresí plynu objem baňky systému s kmitajícím pístkem.
\item Změřte Poissonovu konstantu metodou adiabatické expanze a současně metodou kmitajícího pístku.
\item Oba výsledky porovnejte. Výsledek metody kmitajícího pístku považujte za tabulkovou hodnotu Poissonovy konstanty.
\item Jednolitrovou láhev zvažte prázdnou.
\item Jednolitrovou láhev zvažte plnou vody.
\item Z obou výsledků určete objem lahve.
\item Objem prázdné jednotlitrové lahve určete kompresí plynu.
\item Stejným postupem změřte objem hadičky spojující byretu s měřeným prostorem. Tuto hodnotu odečtěte od výsledku podle bodu 7.
 
\end{enumerate}
 
\section{Úvod}
\subsection{Modul pružnosti v tahu}
Poissonova konstanta $\kappa $ je poměr měrného tepla $C_{P}$ při stálém tlaku ke měrnému teplu $C_{V}$ při stálém objemu
\begin{displaymath} \kappa = \frac{C_P }{C_V }. \end{displaymath}
 
65,7 → 70,12
\begin{displaymath} \kappa=\frac{4mV}{T^2 pr^4} \end{displaymath}
 
\section{Postup měření}
\subsection{Měření dutých objemů}
Dostali jsme za úkol změřit objem jisté zhruba jednolitrové lahve. Lahev jsme proto připojili j plynové byretě a definovanou kompresí několika desítek $cm^3$ vzduchu jsme změřili její objem. Který i s přívodní hadičkou od byrety činil 1141,78 $cm^3$. K odečtení objemu hadičky byla využita stejná metoda s tím rozdílem, že jsme odpojili flašku a hadičku zašpuntovali.. Naměřili jsme tak objem hadičky 71,16 $cm^3$ po vzájemném odečtení těchto dvou objemů je výsledný objem lahve 1,07363 litru.
 
Druhou metodou kterou jsme vyzkoušeli bylo zvážení prázdné lahve (0,56 kg) a po jejím naplnění vodou o téže teplotě (25 $^\circ C)$ její opětovné zvážení (1,58 kg) protože známe hustotu vody při této teplotě 995,72 $kg/m^3$. Můžeme spočítat objem lahve 1,02438 litru.
 
\subsection{Měření Poissonovy konstanty plynu}
Během měření Poissonovy konstanty Clement-Desormesovo metodou jsme se snažili o maximální zkrácení času otevření ventilu, po krátkém tréninku bylo jasné, že nemá smysl dobu otevření snižovat pod mez zhruba 70ms neboť se nestačí dostatečně vyrovnat tlak v aparatuře s atmosférickým tlakem.
 
Uvedené výsledky jsou proto nad touto hranicí. Průměr z naměřených hodnot je $1,40 \pm 0,02$
89,7 → 99,7
V celém průběhu měření jsme paralelně měřili Poissonovu konstantu i pomocí kmitajícího pístu. A tabulka \ref{Kmit} udává naměřená i vypočtená data, jako objem baňky jsme zvolili asistentem doporučený objem $0,001067 m^3$ jelikož ho nebylo možné změřit žádným z v návodu \cite{objemy} popsaných postupů. Průměrnou změřenou hodnotou je $1,29 \pm 0,03 $. Ostatní konstanty potřebné pro výpočet jsou převzaté z návodu k úloze.
 
\begin{table}[htbp]
\caption{Pocty period pistu v petiminutovem mericim intervalu a vypoctena hodnota Poissovnovy konstanty}
\caption{Pocty period pistu v pěti minutovém měřícím intervalu a vypočtená hodnota Poissovnovy konstanty}
\begin{center}
\begin{tabular}{|c|c|}
\hline
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/dokumenty/PRA1/5-Teplomer/teplomer.dvi
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Resolution mul } def /HyperBorder { 1 PDFToDvips } def /H.V {pdf@hoff
pdf@voff null} def /H.B {/Rect[pdf@llx pdf@lly pdf@urx pdf@ury]} def
/H.S { currentpoint HyperBorder add /pdf@lly exch def dup DvipsToPDF
/pdf@hoff exch def HyperBorder sub /pdf@llx exch def } def /H.L { 2
sub dup /HyperBasePt exch def PDFToDvips /HyperBaseDvips exch def currentpoint
HyperBaseDvips sub /pdf@ury exch def /pdf@urx exch def } def /H.A {
H.L currentpoint exch pop vsize 72 sub exch DvipsToPDF HyperBasePt
sub sub /pdf@voff exch def } def /H.R { currentpoint HyperBorder sub
/pdf@ury exch def HyperBorder add /pdf@urx exch def currentpoint exch
pop vsize 72 sub exch DvipsToPDF sub /pdf@voff exch def } def systemdict
/pdfmark known { userdict /?pdfmark systemdict /exec get put }{ userdict
/?pdfmark systemdict /pop get put userdict /pdfmark systemdict /cleartomark
get put } ifelse
@fedspecial end
%%BeginFont: CMBX12
%!PS-AdobeFont-1.1: CMBX12 1.0
%%CreationDate: 1991 Aug 20 16:34:54
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMBX12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMBX12 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 16 /dotlessi put
dup 19 /acute put
dup 20 /caron put
dup 23 /ring put
dup 46 /period put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 53 /five put
dup 68 /D put
dup 77 /M put
dup 80 /P put
dup 82 /R put
dup 85 /U put
dup 90 /Z put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 104 /h put
dup 105 /i put
dup 106 /j put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 121 /y put
readonly def
/FontBBox{-53 -251 1139 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMEX10
%!PS-AdobeFont-1.1: CMEX10 1.00
%%CreationDate: 1992 Jul 23 21:22:48
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMEX10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMEX10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 32 /parenleftBigg put
dup 33 /parenrightBigg put
readonly def
/FontBBox{-24 -2960 1454 772}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMSY8
%!PS-AdobeFont-1.1: CMSY8 1.0
%%CreationDate: 1991 Aug 15 07:22:10
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMSY8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
end readonly def
/FontName /CMSY8 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 14 /openbullet put
readonly def
/FontBBox{-30 -955 1185 779}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMR8
%!PS-AdobeFont-1.1: CMR8 1.0
%%CreationDate: 1991 Aug 20 16:39:40
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR8 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 48 /zero put
dup 49 /one put
dup 50 /two put
readonly def
/FontBBox{-36 -250 1070 750}readonly def
currentdict end
currentfile eexec
D9D66F633B846A97B686A97E45A3D0AA052A014267B7904EB3C0D3BD0B83D891
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cleartomark
%%EndFont
%%BeginFont: CMSY10
%!PS-AdobeFont-1.1: CMSY10 1.0
%%CreationDate: 1991 Aug 15 07:20:57
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMSY10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
end readonly def
/FontName /CMSY10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /minus put
dup 1 /periodcentered put
dup 39 /similarequal put
readonly def
/FontBBox{-29 -960 1116 775}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMMI8
%!PS-AdobeFont-1.1: CMMI8 1.100
%%CreationDate: 1996 Jul 23 07:53:54
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI8 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 86 /V put
dup 97 /a put
dup 107 /k put
dup 114 /r put
dup 117 /u put
dup 118 /v put
readonly def
/FontBBox{-24 -250 1110 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMMI12
%!PS-AdobeFont-1.1: CMMI12 1.100
%%CreationDate: 1996 Jul 27 08:57:55
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI12 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 13 /gamma put
dup 20 /kappa put
dup 58 /period put
dup 59 /comma put
dup 64 /partialdiff put
dup 67 /C put
dup 84 /T put
dup 98 /b put
dup 99 /c put
dup 104 /h put
dup 108 /l put
dup 109 /m put
dup 111 /o put
dup 112 /p put
dup 114 /r put
dup 116 /t put
readonly def
/FontBBox{-30 -250 1026 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMR12
%!PS-AdobeFont-1.1: CMR12 1.0
%%CreationDate: 1991 Aug 20 16:38:05
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR12 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 1 /Delta put
dup 12 /fi put
dup 16 /dotlessi put
dup 19 /acute put
dup 20 /caron put
dup 23 /ring put
dup 39 /quoteright put
dup 40 /parenleft put
dup 41 /parenright put
dup 43 /plus put
dup 44 /comma put
dup 45 /hyphen put
dup 46 /period put
dup 47 /slash put
dup 48 /zero put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 53 /five put
dup 54 /six put
dup 55 /seven put
dup 56 /eight put
dup 57 /nine put
dup 58 /colon put
dup 61 /equal put
dup 64 /at put
dup 67 /C put
dup 68 /D put
dup 72 /H put
dup 74 /J put
dup 75 /K put
dup 77 /M put
dup 78 /N put
dup 79 /O put
dup 80 /P put
dup 83 /S put
dup 84 /T put
dup 85 /U put
dup 86 /V put
dup 90 /Z put
dup 91 /bracketleft put
dup 93 /bracketright put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 106 /j put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 119 /w put
dup 121 /y put
dup 122 /z put
readonly def
/FontBBox{-34 -251 988 750}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMR10
%!PS-AdobeFont-1.1: CMR10 1.00B
%%CreationDate: 1992 Feb 19 19:54:52
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00B) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 16 /dotlessi put
dup 19 /acute put
dup 20 /caron put
dup 39 /quoteright put
dup 45 /hyphen put
dup 46 /period put
dup 90 /Z put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 104 /h put
dup 105 /i put
dup 106 /j put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 121 /y put
dup 122 /z put
readonly def
/FontBBox{-251 -250 1009 969}readonly def
currentdict end
currentfile eexec
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cleartomark
%%EndFont
%%BeginFont: CMBX10
%!PS-AdobeFont-1.1: CMBX10 1.00B
%%CreationDate: 1992 Feb 19 19:54:06
% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
11 dict begin
/FontInfo 7 dict dup begin
/version (1.00B) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMBX10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMBX10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 65 /A put
dup 97 /a put
dup 98 /b put
dup 107 /k put
dup 114 /r put
dup 115 /s put
dup 116 /t put
readonly def
/FontBBox{-301 -250 1164 946}readonly def
currentdict end
currentfile eexec
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b(\020sk)-5 b(an)m(\023)-43 b(e)35 b(ho)s(d-)244 1675
y(not)m(y)c(jsme)f(z\023)-45 b(aro)m(v)m(e)s(\024)d(n)32
b(p)s(ou)m(\024)-43 b(zili)32 b(k)e(ur)m(\024)-43 b(cen)-10
b(\023)-35 b(\020)31 b(sou)m(\024)-43 b(cinitele)33 b(rozp)-10
b(\023)-35 b(\020na)m(v)m(osti)32 b(vzduc)m(h)m(u.)0
1842 y
SDict begin H.S end
0 1842 a 0 1842 a
SDict begin 14.5 H.A end
0 1842 a 0 1842 a
SDict begin [ /View [/XYZ H.V] /Dest (section.1) cvn H.B /DEST pdfmark end
0 1842 a 165
x Fi(1)161 b(Praco)l(vn)-18 b(\023)-63 b(\020)58 b(\023)-85
b(uk)l(oly)0 2092 y
SDict begin H.S end
0 2092 a 0 2092 a
SDict begin 14.5 H.A end
0 2092 a 0 2092
a
SDict begin [ /View [/XYZ H.V] /Dest (Item.1) cvn H.B /DEST pdfmark end
0 2092 a Black 119 2226 a Fh(1.)p Black 49 w(Ocejc)m(h)m(ujte)47
b(rtut)885 2216 y(')912 2226 y(o)m(v)q(\023)-50 b(y)46
b(teplom)m(\024)-46 b(er)47 b(p)s(omo)s(c)-11 b(\023)-38
b(\020)45 b(plyno)m(v)m(\023)-46 b(eho)48 b(teplom)m(\024)-46
b(eru)47 b(a)e(nakreslete)i(p)-5 b(\024)-43 b(r)-11 b(\023)-38
b(\020slu)-5 b(\024)-44 b(sn)q(\023)-50 b(y)244 2347
y(graf.)0 2408 y
SDict begin H.S end
0 2408 a 0 2408 a
SDict begin 14.5 H.A end
0 2408 a 0 2408 a
SDict begin [ /View [/XYZ H.V] /Dest (Item.2) cvn H.B /DEST pdfmark end
 
0 2408 a Black 119 2550 a Fh(2.)p Black 49 w(Vyp)s(o)m(\024)k(c)-11
b(\023)-38 b(\020tejte)45 b(sou)m(\024)-46 b(cinitele)46
b(rozp)-11 b(\023)-38 b(\020na)m(v)m(osti)46 b(plyn)-9
b(\027)-64 b(u)45 b Fg(\015)k Fh(a)44 b(pro)m(v)m(ed)2575
2540 y(')2602 2550 y(te)i(k)m(on)m(trolu)f(p)s(omo)s(c)-11
b(\023)-38 b(\020)44 b(teplot)m(y)244 2670 y(absolutn)-11
b(\023)-38 b(\020)33 b(n)m(uly)-8 b(.)0 2731 y
SDict begin H.S end
0 2731
a 0 2731 a
SDict begin 14.5 H.A end
0 2731 a 0 2731 a
SDict begin [ /View [/XYZ H.V] /Dest (Item.3) cvn H.B /DEST pdfmark end
0 2731 a Black 119 2874
a Fh(3.)p Black 49 w(Ur)m(\024)-46 b(cete)23 b(tep)s(elnou)f(k)-5
b(apacitu)22 b(k)-5 b(alorimetru)22 b(\(Dew)m(aro)m(vy)h(n\023)-49
b(adob)m(y\),)23 b(kter)q(\023)-50 b(y)23 b(p)s(ou)m(\024)-46
b(zijete)22 b(p)-5 b(\024)-43 b(ri)21 b(ur)m(\024)-46
b(co)m(v\023)d(an)-11 b(\023)-38 b(\020)244 2994 y(m)m(\024)-46
b(ern)m(\023)g(eho)24 b(skup)s(ensk)m(\023)-46 b(eho)26
b(tepla)d(v)-5 b(aru)23 b(v)m(o)s(dy)-8 b(.)24 b(Sestro)5
b(jte)24 b(z)g(nam)m(\024)-46 b(e)-5 b(\024)-43 b(ren)q(\023)-50
b(yc)m(h)24 b(ho)s(dnot)f(graf)f(z\023)-49 b(avislosti)244
3115 y(teplot)m(y)33 b(l\023)-49 b(azn)m(\024)j(e)34
b(na)c(\024)-46 b(case.)33 b(P)m(osud)1438 3105 y(')1465
3115 y(te,)h(zda)f(ten)m(to)g(p)s(ostup)g(je)g(pro)f(dan)q(\023)-50
b(y)34 b(k)-5 b(alorimetr)32 b(n)m(utn)q(\023)-50 b(y.)0
3176 y
SDict begin H.S end
0 3176 a 0 3176 a
SDict begin 14.5 H.A end
0 3176 a 0 3176 a
SDict begin [ /View [/XYZ H.V] /Dest (Item.4) cvn H.B /DEST pdfmark end
0 3176 a Black
119 3318 a Fh(4.)p Black 49 w(Ur)m(\024)k(cete)41 b(m)m(\024)-46
b(ern)m(\023)g(e)41 b(skup)s(ensk)m(\023)-46 b(e)43 b(teplo)d(v)-5
b(aru)40 b(v)m(o)s(dy)g(s)h(ohledem)g(na)f(mno)m(\024)-46
b(zstv)-11 b(\023)-38 b(\020)41 b(p)-5 b(\024)-43 b(red)m(\024)d(casn)m
(\024)g(e)41 b(zk)m(on-)244 3438 y(denzo)m(v)-5 b(an)m(\023)-46
b(e)34 b(p\023)-49 b(ary)33 b Fg(m)1020 3453 y Ff(v)1061
3438 y Fh(.)0 3608 y
SDict begin H.S end
0 3608 a 0 3608 a
SDict begin 14.5 H.A end
0 3608 a 0 3608
a
SDict begin [ /View [/XYZ H.V] /Dest (section.2) cvn H.B /DEST pdfmark end
0 3608 a 163 x Fi(2)264 3737 y(\023)242 3771 y(Uv)l(o)t(d)0
3990 y Fh(T)-8 b(eplota)33 b(v)-5 b(aru)32 b(v)m(o)s(dy)i(je)f(d\023)
-49 b(ana)32 b(v)q(\023)-50 b(yrazem)452 4231 y
SDict begin H.S end
452 4231
a Fg(t)487 4246 y Ff(v)r(ar)r(u)667 4231 y Fh(=)28 b(100)p
Fg(;)17 b Fh(000)k(+)h(0)p Fg(;)17 b Fh(03687\()p Fg(b)j
Fe(\000)j Fh(760\))e Fe(\000)i Fh(0)p Fg(;)17 b Fh(000022\()p
Fg(b)k Fe(\000)h Fh(760\))2842 4190 y Fd(2)2881 4231
y Fh([)2908 4190 y Fc(\016)2948 4231 y Fg(C)r(;)17 b(T)d(or)s(r)s
Fh(])p Fg(:)3330 4231 y
SDict begin 14.5 H.A end
3330 4231 a 3330 4231 a
SDict begin [ /View [/XYZ H.V] /Dest (equation.1) cvn H.B /DEST pdfmark end
3330
4231 a Black 325 w Fh(\(1\))p Black 146 4405 a(N\023)-49
b(asledn)m(\024)j(e)34 b(pak)f(dok\023)-49 b(a)m(\024)j(zeme)34
b(ur)m(\024)-46 b(cit)34 b(i)e(teplotu)h(na)g(plyno)m(v)m(\023)-46
b(em)34 b(teplom)m(\024)-46 b(eru.)1544 4671 y
SDict begin H.S end
1544 4671
a Fg(t)28 b Fh(=)f Fg(t)1745 4686 y Ff(v)r(ar)r(u)1985
4603 y Fh(\001)p Fg(h)p 1908 4647 291 4 v 1908 4739 a
Fh(\001)p Fg(h)2045 4754 y Ff(v)r(ar)r(u)2209 4671 y
Fg(:)2236 4671 y
SDict begin 14.5 H.A end
2236 4671 a 2236 4671 a
SDict begin [ /View [/XYZ H.V] /Dest (equation.2) cvn H.B /DEST pdfmark end
2236 4671 a
Black 1419 w Fh(\(2\))p Black 146 4885 a(Ho)s(dnot)m(y)33
b(m)-9 b(\027)-64 b(u)m(\024)-46 b(zeme)35 b(tak)m(\023)-46
b(e)33 b(vyu)m(\024)-46 b(z)-11 b(\023)-38 b(\020t)34
b(k)f(dop)s(o)m(\024)-46 b(c)-11 b(\023)-38 b(\020t\023)-49
b(an)-11 b(\023)-38 b(\020)32 b(rozp)-11 b(\023)-38 b(\020na)m(v)m
(osti)35 b(vzduc)m(h)m(u)1342 5162 y
SDict begin H.S end
1342 5162 a Fg(\015)e
Fh(=)1540 5095 y(1)p 1540 5139 49 4 v 1540 5230 a Fg(p)1615
5016 y Fb( )1726 5095 y Fg(@)p 1691 5139 128 4 v 1691
5230 a(@)5 b(T)1828 5016 y Fb(!)1894 5266 y Ff(V)1983
5162 y Fe(')2098 5095 y Fh(\001)p Fg(p)p 2098 5139 131
4 v 2139 5230 a(p)2300 5095 y Fh(1)p 2248 5139 153 4
v 2248 5230 a(\001)p Fg(T)2410 5162 y(:)2437 5162 y
SDict begin 14.5 H.A end
2437
5162 a 2437 5162 a
SDict begin [ /View [/XYZ H.V] /Dest (equation.3) cvn H.B /DEST pdfmark end
2437 5162 a Black 1218 w Fh(\(3\))p
Black 0 5443 a(co)m(\024)-46 b(z)33 b(m)-9 b(\027)-64
b(u)m(\024)-46 b(zeme)34 b(p)-5 b(\024)-43 b(repsat)33
b(na)1690 5607 y
SDict begin H.S end
1690 5607 a Fg(\015)g Fh(=)1893 5540
y(\001)p Fg(h)p 1887 5584 149 4 v 1887 5676 a(b)23 b
Fe(\001)f Fg(t)2046 5607 y(;)2090 5607 y
SDict begin 14.5 H.A end
2090 5607 a
2090 5607 a
SDict begin [ /View [/XYZ H.V] /Dest (equation.4) cvn H.B /DEST pdfmark end
2090 5607 a Black 1565 w Fh(\(4\))p Black
0 5807 a(kde)34 b(b)e(je)h(atmosferic)m(ky)i(tlak)d(v)h(T)-8
b(orrec)m(h.)p Black Black eop end
%%Page: 2 2
TeXDict begin 2 1 bop 0 0 a
SDict begin /product where{pop product(Distiller)search{pop pop pop version(.)search{exch pop exch pop(3011)eq{gsave newpath 0 0 moveto closepath clip/Courier findfont 10 scalefont setfont 72 72 moveto(.)show grestore}if}{pop}ifelse}{pop}ifelse}if end
0 0 a Black 0 TeXcolorgray
0 -207 a
SDict begin H.S end
0 -207 a 0 TeXcolorgray 0 TeXcolorgray 0 -207
a
SDict begin H.R end
0 -207 a 0 -207 a
SDict begin [ /View [/XYZ H.V] /Dest (page.2) cvn H.B /DEST pdfmark end
0 -207 a Black Black 146 100 a Fh(P)-5
b(\024)-43 b(ri)32 b(m)m(\024)-46 b(e)-5 b(\024)-43 b(ren)-11
b(\023)-38 b(\020)33 b(skup)s(ensk)m(\023)-46 b(eho)35
b(tepla)e(v)-5 b(aru)33 b(v)m(o)s(dy)g(vyu)m(\024)-46
b(zijeme)35 b(k)-5 b(alorimetric)m(k)m(ou)34 b(ro)m(vnici.)779
320 y
SDict begin H.S end
779 320 a Fh(\()p Fg(m)23 b Fe(\000)f Fg(m)1109
335 y Ff(v)1150 320 y Fh(\))p Fg(l)1217 335 y Ff(v)1280
320 y Fh(+)g Fg(mc)p Fh(\()p Fg(t)1578 335 y Ff(v)r(ar)r(u)1754
320 y Fe(\000)h Fg(t)p Fh(\))f(+)g(\()p Fg(m)2170 335
y Ff(k)2213 320 y Fg(c)g Fh(+)g Fg(\024)p Fh(\)\()p Fg(t)2542
335 y Fd(0)2604 320 y Fe(\000)h Fg(t)p Fh(\))k(=)h(0)p
Fg(;)3001 320 y
SDict begin 14.5 H.A end
3001 320 a 3001 320 a
SDict begin [ /View [/XYZ H.V] /Dest (equation.5) cvn H.B /DEST pdfmark end
3001 320 a Black
654 w Fh(\(5\))p Black 0 540 a(kde)34 b Fg(c)e Fh(je)h(m)m(\024)-46
b(ern\023)d(a)33 b(tep)s(eln\023)-49 b(a)33 b(k)-5 b(apacita)32
b(v)m(o)s(dy)-8 b(.)34 b(M)m(\024)-46 b(ern)m(\023)g(e)34
b(skup)s(ensk)m(\023)-46 b(e)35 b(teplo)e(v)-5 b(aru)32
b(pak)h(vyj\023)-49 b(ad)-5 b(\024)-43 b(r)-11 b(\023)-38
b(\020me)33 b(jak)m(o)1087 809 y
SDict begin H.S end
1087 809 a Fg(l)1116
824 y Ff(v)1184 809 y Fh(=)1298 742 y(\()p Fg(m)1421
757 y Ff(k)1486 742 y Fh(+)22 b Fg(\024)p Fh(\)\()p Fg(t)g
Fe(\000)h Fg(t)1908 757 y Fd(0)1948 742 y Fh(\))f Fe(\000)g
Fg(mc)p Fh(\()p Fg(t)2307 757 y Ff(v)r(ar)r(u)2483 742
y Fe(\000)h Fg(t)p Fh(\))p 1298 786 1358 4 v 1810 877
a Fg(m)g Fe(\000)f Fg(m)2102 892 y Ff(v)2666 809 y Fg(:)2693
809 y
SDict begin 14.5 H.A end
2693 809 a 2693 809 a
SDict begin [ /View [/XYZ H.V] /Dest (equation.6) cvn H.B /DEST pdfmark end
2693 809 a Black 962 w Fh(\(6\))p
Black 146 1070 a(Ch)m(yb)-11 b(\023)-38 b(\020)49 b(n\023)-49
b(am)47 b(ale)g(tep)s(eln\023)-49 b(a)48 b(k)-5 b(apacita)47
b(k)-5 b(alorimetru,)47 b(kterou)h(m)m(us)-11 b(\023)-38
b(\020me)49 b(zm)m(\024)-46 b(e)-5 b(\024)-43 b(rit.)47
b(K)g(tom)m(u)g(n\023)-49 b(am)0 1190 y(p)s(om)-9 b(\027)-64
b(u)m(\024)-46 b(ze)33 b(jin\023)-49 b(a)33 b(k)-5 b(alorimetric)m
(k\023)-49 b(a)34 b(ro)m(vnice)1117 1410 y
SDict begin H.S end
1117 1410
a Fh(\()p Fg(m)1240 1425 y Fd(1)1280 1410 y Fg(c)22 b
Fh(+)g Fg(\024)p Fh(\)\()p Fg(t)1609 1425 y Fd(1)1671
1410 y Fe(\000)h Fg(t)p Fh(\))f(+)g Fg(m)2049 1425 y
Fd(2)2089 1410 y Fg(c)p Fh(\()p Fg(t)2204 1425 y Fd(2)2266
1410 y Fe(\000)g Fg(t)p Fh(\))28 b(=)g(0)p Fg(;)2663
1410 y
SDict begin 14.5 H.A end
2663 1410 a 2663 1410 a
SDict begin [ /View [/XYZ H.V] /Dest (equation.7) cvn H.B /DEST pdfmark end
2663 1410 a Black 992
w Fh(\(7\))p Black 0 1630 a(ze)33 b(kter)m(\023)-46 b(e)34
b(vyj\023)-49 b(ad)-5 b(\024)-43 b(r)-11 b(\023)-38 b(\020me)33
b(k)-5 b(apacitu)33 b(k)-5 b(alorimetru.)1391 1899 y
SDict begin H.S end
 
1391 1899 a Fg(\024)28 b Fh(=)1589 1832 y Fg(m)1674 1847
y Fd(2)1713 1832 y Fg(c)p Fh(\()p Fg(t)23 b Fe(\000)f
Fg(t)1985 1847 y Fd(2)2025 1832 y Fh(\))p 1589 1876 475
4 v 1672 1968 a(\()p Fg(t)1745 1983 y Fd(1)1807 1968
y Fe(\000)g Fg(t)p Fh(\))2095 1899 y Fe(\000)h Fg(m)2280
1914 y Fd(1)2319 1899 y Fg(c:)2388 1899 y
SDict begin 14.5 H.A end
2388 1899 a
2388 1899 a
SDict begin [ /View [/XYZ H.V] /Dest (equation.8) cvn H.B /DEST pdfmark end
2388 1899 a Black 1267 w Fh(\(8\))p Black
0 2143 a
SDict begin H.S end
0 2143 a 0 2143 a
SDict begin 14.5 H.A end
0 2143 a 0 2143 a
SDict begin [ /View [/XYZ H.V] /Dest (section.3) cvn H.B /DEST pdfmark end
0 2143 a
108 x Fi(3)161 b(P)l(ostup)52 b(m)l(\024)-77 b(e)-7 b(\024)-73
b(ren)-18 b(\023)-63 b(\020)0 2377 y
SDict begin H.S end
0 2377 a 0 2377
a
SDict begin 14.5 H.A end
0 2377 a 0 2377 a
SDict begin [ /View [/XYZ H.V] /Dest (subsection.3.1) cvn H.B /DEST pdfmark end
0 2377 a 122 x Fa(3.1)135 b(M)m(\024)-64
b(e)-6 b(\024)-61 b(ren)-15 b(\023)-52 b(\020)46 b(dut)r(\023)-69
b(yc)l(h)44 b(ob)7 b(jem)-13 b(\027)-88 b(u)0 2586 y
SDict begin H.S end
 
0 2586 a 0 2586 a
SDict begin 14.5 H.A end
0 2586 a 0 2586 a
SDict begin [ /View [/XYZ H.V] /Dest (subsection.3.2) cvn H.B /DEST pdfmark end
0 2586 a 127 x Fa(3.2)135
b(M)m(\024)-64 b(e)-6 b(\024)-61 b(ren)-15 b(\023)-52
b(\020)46 b(P)l(oissono)l(vy)g(k)l(onstan)l(t)l(y)g(plyn)l(u)0
2800 y
SDict begin H.S end
0 2800 a 0 2800 a
SDict begin 14.5 H.A end
0 2800 a 0 2800 a
SDict begin [ /View [/XYZ H.V] /Dest (section.4) cvn H.B /DEST pdfmark end
0 2800 a 160
x Fi(4)161 b(Diskuse)0 3179 y Fh(Z)33 b(v)q(\023)-50
b(ysledk)-9 b(\027)-64 b(u)36 b(nam)m(\024)-46 b(e)-5
b(\024)-43 b(ren)q(\023)-50 b(yc)m(h)34 b(v)g(c)m(hronologic)m(k)m
(\023)-46 b(em)35 b(p)s(o)-5 b(\024)-43 b(rad)-11 b(\023)-38
b(\020)32 b(lze)i(vyp)s(ozoro)m(v)-5 b(at)34 b(m)-11
b(\023)-38 b(\020rnou)33 b(stabiln)-11 b(\023)-38 b(\020)34
b(v)-5 b(ariaci)0 3299 y(v)42 b(pr)-9 b(\027)-64 b(ub)m(\024)-46
b(eh)m(u)42 b(m)m(\024)-46 b(e)-5 b(\024)-43 b(ren)-11
b(\023)-38 b(\020.)42 b(T)-8 b(en)m(to)42 b(jev)f(b)m(y)h(mohl)g(b)q
(\023)-50 b(yt)41 b(zp)-9 b(\027)-64 b(usob)s(en)43 b(bud)2454
3289 y(')2523 3299 y(zm)m(\024)-46 b(enou)42 b(vlastnost)-11
b(\023)-38 b(\020)43 b(aparatury)-8 b(,)0 3419 y(neb)s(o)40
b(skute)m(\024)-46 b(cn)m(\024)g(e)42 b(zm)m(\024)-46
b(enou)41 b(slo)m(\024)-46 b(zen)-11 b(\023)-38 b(\020)41
b(vzduc)m(h)m(u.)h(Nejpra)m(vd)m(\024)-46 b(ep)s(o)s(dobn)m(\024)g(ej)
-5 b(\024)-44 b(s)-11 b(\023)-38 b(\020)42 b(asi)e(bude)h(k)m(om)m
(binace)h(ob)s(ou)0 3540 y(t)m(\024)-46 b(ec)m(h)m(to)28
b(jev)-9 b(\027)-64 b(u.)29 b(Kdy)e(p)-5 b(\024)-43 b(ri)27
b(m)m(\024)-46 b(e)-5 b(\024)-43 b(ren)-11 b(\023)-38
b(\020)27 b(meto)s(dou)h(kmita)5 b(j)-11 b(\023)-38 b(\020c)-11
b(\023)-38 b(\020ho)28 b(p)-11 b(\023)-38 b(\020stu)28
b(m)-9 b(\027)-64 b(u)m(\024)-46 b(ze)29 b(do)s(c)m(h\023)-49
b(azet)28 b(k)g(m)-11 b(\023)-38 b(\020rn)q(\023)-50
b(ym)28 b(zm)m(\024)-46 b(en\023)d(am)0 3660 y(v)35 b(pr)-9
b(\027)-64 b(utoku)35 b(vzduc)m(h)m(u)i(a)d(na)m(v)-11
b(\023)-38 b(\020c)35 b(i)f(dob)m(y)i(p)s(o)d(kter)m(\023)-46
b(e)33 b(\024)-46 b(c)-11 b(\023)-38 b(\020ta)m(\024)-46
b(c)35 b(p)s(o)m(\024)-46 b(c)-11 b(\023)-38 b(\020t\023)-49
b(a)34 b(kmit)m(y)h(v\023)-49 b(ale)m(\024)j(cku)36 b(nem)m(us)-11
b(\023)-38 b(\020)37 b(b)q(\023)-50 b(yt)37 b(\023)-51
b(upln)m(\024)-46 b(e)-3 3780 y(\024)g(caso)m(v)m(\024)g(e)32
b(ekvidistan)m(tn)-11 b(\023)-38 b(\020.)33 b(Z)-5 b(\024)-43
b(rejm)m(\023)d(e)29 b(tak)m(\023)-46 b(e)31 b(je,)c(\024)-46
b(ze)31 b(v)g(m)-11 b(\023)-38 b(\020stnosti,)31 b(kter\023)-49
b(a)31 b(nen)-11 b(\023)-38 b(\020)31 b(p)-5 b(\024)-43
b(r)-11 b(\023)-38 b(\020li)-5 b(\024)-44 b(s)30 b(v)m(\024)-46
b(etran\023)d(a)30 b(se)h(p)s(oh)m(ybuje)0 3901 y(zna)m(\024)-46
b(cn)m(\023)g(e)34 b(mno)m(\024)-46 b(zstv)-11 b(\023)-38
b(\020)34 b(lid)-11 b(\023)-38 b(\020)33 b(kte)-5 b(\024)-43
b(r)-11 b(\023)-38 b(\020)32 b(souhrnn)m(\024)-46 b(e)34
b(ob)s(ohacuj)-11 b(\023)-38 b(\020)32 b(vzduc)m(h)j(o)d(v)-11
b(\023)-38 b(\020ceatomo)m(v)m(\023)-46 b(e)35 b(molekuly)-8
b(..)0 4070 y
SDict begin H.S end
0 4070 a 0 4070 a
SDict begin 14.5 H.A end
0 4070 a 0 4070 a
SDict begin [ /View [/XYZ H.V] /Dest (section.5) cvn H.B /DEST pdfmark end
0 4070
a 164 x Fi(5)161 b(Z)o(\023)-80 b(av)l(\024)j(er)0 4453
y Fh(Z\023)-49 b(av)m(\024)j(erem)46 b(lze)41 b(\024)-43
b(r)-11 b(\023)-38 b(\020ci)43 b(\024)-46 b(ze)46 b(ho)s(dnota)f(P)m
(oissono)m(vy)j(k)m(onstan)m(t)m(y)g(vzduc)m(h)m(u)g(za)d(b)m(\024)-46
b(e)m(\024)g(zn)q(\023)c(yc)m(h)48 b(p)s(o)s(dm)-11 b(\023)-38
b(\020nek)47 b(le)m(\024)-46 b(z)-11 b(\023)-38 b(\020)0
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\documentclass[12pt,a4paper,oneside]{article}
\usepackage[colorlinks=true]{hyperref}
\usepackage[utf8]{inputenc}
\usepackage[czech]{babel}
\usepackage{graphicx}
\textwidth 16cm \textheight 24.6cm
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\begin{document}
\title{Kalibrace rtuťového teploměru plynovým teploměrem}
\author{Jakub Kákona, kaklik@mlab.cz}
\date{30.11.2009}
\maketitle
\thispagestyle{empty}
\begin{abstract}
Zkalibrovali jsme rtuťový teploměr pomocí plynového teploměru. Získané hodnoty jsme zároveň použili k určení součinitele rozpínavosti vzduchu.
\end{abstract}
 
\section{Pracovní úkoly}
\begin{enumerate}
\item Ocejchujte rtuťový teploměr pomocí plynového teploměru a nakreslete příslušný graf.
\item Vypočítejte součinitele rozpínavosti plynů $\gamma $ a proveďte kontrolu pomocí teploty absolutní nuly.
\item Určete tepelnou kapacitu kalorimetru (Dewarovy nádoby), který použijete při určování měrného skupenského tepla varu vody. Sestrojte z naměřených hodnot graf závislosti teploty lázně na čase. Posuďte, zda tento postup je pro daný kalorimetr nutný.
\item Určete měrné skupenské teplo varu vody s ohledem na množství předčasně zkondenzované páry $m_{v}$.
\end{enumerate}
 
\section{Úvod}
Teplota varu vody je dána výrazem
 
\begin{equation}
t_{varu} = 100,000 + 0,03687 (b - 760) - 0,000 022 (b - 760)^{2} [ ^\circ C, Torr].
\end{equation}
 
Následně pak dokážeme určit i teplotu na plynovém teploměru.
 
\begin{equation}
t = t_{varu}\frac{\Delta h}{\Delta h_{varu}}.
\end{equation}
 
Hodnoty můžeme také využít k dopočítání rozpínavosti vzduchu
\begin{equation}
\gamma = \frac{1}{p}\left( \frac{\partial }{\partial T} \right)_{V} \simeq \frac{\Delta p}{p} \frac{1}{\Delta T}.
\end{equation} což můžeme přepsat na
\begin{equation} \gamma = \frac{\Delta h}{b\cdot t}, \label{egamma}\end{equation}
kde b je atmosfericky tlak v Torrech.
 
Při měření skupenského tepla varu vody využijeme kalorimetrickou rovnici.
\begin{equation}
(m-m_{v})l_{v}+mc(t_{varu} -t)+(m_kc+\kappa)(t_{0}-t)=0,
\end{equation} kde $c$ je měrná tepelná kapacita vody. Měrné skupenské teplo varu pak vyjádříme jako
\begin{equation}
l_{v}=\frac{(m_{k}+\kappa)(t-t_{0})-mc(t_{varu}-t) }{m-m_{v}}. \label{elv}
\end{equation}
 
Chybí nám ale tepelná kapacita kalorimetru, kterou musíme změřit. K tomu nám pomůže jiná kalorimetrická rovnice
\begin{equation}
(m_{1}c+\kappa)(t_{1}-t)+m_{2}c(t_{2}-t)=0,
\end{equation} ze které vyjádříme kapacitu kalorimetru.
\begin{equation}
\kappa = \frac{m_{2}c(t-t_{2})}{(t_{1}-t)}-m_{1}c. \label{ekappa}
\end{equation}
 
\section{Postup měření}
\subsection{Kalibrace rtuťového teploměru plynovým teploměrem}
Nejdříve jsme měřící bańku plynového teploměru ochladili při atmosférickém tlaku uvnitř, po vyrovnání teplot jsme uzavřeli ventil spojující vnitřní objem teploměru s vnější atmosférou a začali postupně zvyšovat teplotu lázně zhruba po 10 $^\circ C$. Vždy při odečítání hodnot ale bylo nutné udržovat konstantní objem plynu v teploměru což bylo zařízeno udržováním hladiny rtuti v otevřeném manometru na špičce skleněného hrotu.
 
Během měření byl atmosférický tlak $b = (743,6 \pm 0,1) Torr$ . Naměřenou závislost jsme vynesli do grafu \ref{korekce}. A tím zjistili směrnici přímky $a = (2,5 \pm 0,05) m/^\circ C$ a spočítali tak i rozpínavost vzduchu $a = (3,48 \pm 0,07)10^{-3} /K$.
 
\begin{table}[htbp]
\begin{center}
\begin{tabular}{|c|c|c|c|c|c|}
\hline
$h_l [mm]$ & $t_s [^\circ C]$ & $\Delta h [mm]$ & $t_m [^\circ C]$ & $\Delta t [^\circ C]$ & $\delta_t [\%]$ \\ \hline
138 & 0,0 & 0 & 0,0 & 0 & 0 \\ \hline
167 & 11,2 & 29 & 12,1 & -0,86 & 7,13 \\ \hline
202 & 24,2 & 64 & 26,6 & -2,41 & 9,07 \\ \hline
218 & 30,1 & 80 & 33,3 & -3,17 & 9,52 \\ \hline
257 & 43,2 & 119 & 49,5 & -6,29 & 12,7 \\ \hline
303 & 62,2 & 165 & 68,6 & -6,42 & 9,35 \\ \hline
329 & 72,0 & 191 & 79,4 & -7,43 & 9,35 \\ \hline
342 & 87,2 & 204 & 84,8 & 2,37 & 2,79 \\ \hline
377 & 99,39 & 239 & 99,39 & 0 & 0 \\ \hline
\end{tabular}
\end{center}
\caption{Kalibrace rtutového teploměru plynovým teploměrem}
\label{kalibrace}
\end{table}
 
\begin{figure}
\begin{center}
\includegraphics [width=150mm] {teplomer_char.pdf}
\end{center}
\caption{Hodnoty naměřené na plynovém a rtuťovém teploměru}
\label{korekce}
\end{figure}
 
\subsection{Měření měrného skupenského tepla varu vody}\
 
K tomuto měření bylo třeba nejdříve změřit tepelnou kapacitu kalorimetru, použili jsme v návodu doporučenou metodu a kapacita nám vyšla $\kappa = (90 \pm 7) J/kg K$. S touto znalostí, jsme pak již nechali ohřívat vodní náplň v kalorimetru párou probublávající z kotlíku s vroucí vodou. Po změření rozdílu teplot a zvážení zkondenzované vody jsme pak mohli určit měrné skupenské teplo varu vodu jako $l_v = (2,6 \pm 0,3) MJ/kg$.
\section{Diskuse}
V návodu k úloze \cite{var_vody} je doporučen postup měření tepelné kapacity kalorimetru využívající časovou závislost vývoje teploty. Vzhledem k našim podmínkám je ale tento postup zbytečně přesný (Máme dobře izolovaný kalorimetr).
 
\section{Závěr}
Součinitel rozpínavosti plynů jsme určili s relativní chybou 4,9 \% vzhledem k tabulkové hodnotě. A měrné skupenské teplo varu vody jsme proti tabulkové hodnotě $l_v = 2,257 MJ/kg$ určili s chybou 15\%.
 
\begin{thebibliography}{99}
\bibitem{var_vody}{Zadání úlohy 5 - Měření měrného skupenského tepla varu vody}. \href{http://praktika.fjfi.cvut.cz/SkupTepVaru/}{http://praktika.fjfi.cvut.cz/SkupTepVaru/}
\end{thebibliography}
\end{document}
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