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L20S10_KineticTheory+03-08-10

L20S10_KineticTheory+03-08-10 -...

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Unformatted text preview: !"#$%&''()*+',-./#0.1'2"#345'36' 789#9, Kinetic Theory of Gases <EF='G3='$='HI J Pressure,Energy and Pressure,Energy Temperature Temperature <FP Q G*$H O) UV 2 Summary J$H &H#48N#'3H#4'H) >3$#/0?$' S [email protected]#4'36'13KK.9.3/9 L#4'?/.0'0=& 248/96#4 J G*H F E64#M?#/15I O G EY$H)I P W2 P Q *' ) UV O G*$H) QF UV P Q ) #V W2 #V P Q ) VB2 © UC Regents OP$#8/'9M?84#'9L##R H) <P <#4'$3K# <#4'$3K#1?K# ()*CD VBPWXG* © UC Regents ()*CT Root-Mean-Square Speed H4$9P O H) P QVB2 P $ QW2 > Distribution of Speeds H4$9 ^EHI H4$9 >8\_#KKCB3K0`$8// a.N" 2 (3_ 2 (3_ $ a.N" $ WPZ;Q%'[X-'$3K VBP%;QZ%'\'%*C)Q © UC Regents [X- H4$9J 2 > ()*C%* H © UC Regents ()*C%] Kinetic Theory of Gases b !"#$%&'#(#)#$&*$(+,')(%"-$.,--/ !"#$%&'#(#)#$&*$(+,')(%"-$.,--/ #,0"1"),+$0"1)(%-,# 2-&.$'345,1$ +,'#()67 b 4&8('!$('$1"'+&4 +(1,%)(&'$.()9$"$ 4&8('!$('$1"'+&4 +(#)1(53)(&' &*$#0,,+# b 4&8,$('$#)1"(!9)$-(',# 5,).,,'$ 4&8,$('$#)1"(!9)$-(',# %&--(#(&'# b %&--(#(&'#$5,).,,'$0"1)(%-,#$&1$."--#$ "1,$,-"#)(% "1,$,-"#)(% : '&$-&##$&*$;(',)(%$ ,',1!6/ ,',1!6/ %&'#,18")(&'$&*$,',1!6 © 2001 A.Pines,M.Kubinec,UCB ()*C) Kinetic Theory of Gases d/#'>3K#' cR#8K'N89+'<EF='G'='$='HI G* >3$#/0?$' 248/96#4 J$H © 2001 A.Pines,M.Kubinec,UCB ()*CQ :'&;<./#9=>;[email protected]/#1=A!B % !"#$%&''()*+',-./#0.1'2"#345'36' 789#9, Kinetic Theory of Gases d/#'$3K#'.R#8K'N89+'<EF='G3='$='HI >3$#/0?$' 248/96#4 J$H © 2001 A.Pines,M.Kubinec,UCB ()*C] Kinetic Theory of Gases d/#'$3K#'.R#8K'N89+'<EF='G3='$='HI >3$#/0?$' 248/96#4 J$H © 2001 A.Pines,M.Kubinec,UCB ()*Ce Kinetic Theory of Gases <EF='G3='$='HI J >3$#/0?$' S [email protected]#4'36'13KK.9.3/9 L#4'?/.0'0='& 248/96#4 J$H J G*H F E64#M?#/15I &H#48N#'3H#4'H) OP$#8/'9M?84#'9L##R H) <P O G*$H) QF ()*CD © 2001 A.Pines,M.Kubinec,UCB :'&;<./#9=>;[email protected]/#1=A!B ) !"#$%&''()*+',-./#0.1'2"#345'36' 789#9, Pressure, Pressure, Energy and Temperature Temperature <DE F*$G) C H MN 2 E MN ) C F*'JK$G)L H E I2 #N I2 #N E C ) MN E C ) NB2 <#4'$3R# <#4'$3R#1?R# NBEIQF* © 2001 A.Pines,M.Kubinec,UCB ()*OP ChemQuiz© 20.1 S/#'$3R#'#81"'36'B4 S/#'$3R#'#81"'36'B4) 8/T'U) 84#'VR81#T'./'8'@8RR33/;'' W"80'84#'0"#'4#R80.G#' N./#0.1'#/#4Z.#9 X >3R84'>899 U B4 % Y* B4)='U) &L'B4 &L'B4) [ U) © 2001 A.Pines,M.Kubinec,UCB BL'B4 BL'B4)'E U) !L'B4 !L'B4)'\ U) ()*OY Root-MeanRoot-Mean-Square Speed G4$9E H G) E CNB2 E $ CI2 CI2 > IEY;C%'^Q-'$3R NBE%;CY%'_'%*O)C ^Q© 2001 A.Pines,M.Kubinec,UCB G4$9] 2 > ()*O%* :'&;<./#9=>;[email protected]/#1=A!B C !"#$%&''()*+',-./#0.1'2"#345'36' 789#9, ChemQuiz© 20.2 a6'5 .9'G a6'5 .9'G4$9='b"80' c?8/0.05'.9'VR300#T' 3/'0"#'_'8_.9 X G4$9 _ &L'2 &L'2) © 2001 A.Pines,M.Kubinec,UCB BL'2 BL'2 !L' 2 ()*O%% Distribution of Speeds G4$9 dJGL G4$9 >8_b#RRO >8_b#RROB3R0e$8// U.Z" 2 (3b 2 ()*+ ,-.,.-/0.123 *4 ! (3b $ U.Z" $ "#$%&' G'J$9O%L © 2001 A.Pines,M.Kubinec,UCB ()*O%C ChemQuiz© 20.3 f"3b/'.9'0"#'>B' f"3b/'.9'0"#'>B' dJGL [email protected]?0.3/ 80' ]C**'- 634'B4) 8/T' 634'B4 g;''W"80'.9'gX B4) G4$9 g G4$9 G >3R84'>899 F# &4 B4 -4 )* `* Y* YC &L'F# &L'F# © 2001 A.Pines,M.Kubinec,UCB BL'&4 BL'&4 !L'-4 !L'-4 ()*O%` :'&;<./#9=>;[email protected]/#1=A!B ` !"#$%&''()*+',-./#0.1'2"#345'36' 789#9, ChemQuiz© 20.4 W"80'.9'0"#'G J$Q9L'634'B4 80'C**'-X W"80'.9'0"#'G4$9 J$Q9L'634'B4) 80'C**'-X Vrms = root [ (3 * 8.31 * 300) / (160 x 10^-3)] = ~100 &L'] &L'] % © 2001 A.Pines,M.Kubinec,UCB BL'] %* BL'] !L'] %** !L'] ()*O%i Lecture Complete © 2001 A.Pines,M.Kubinec,UCB ()*O%Y :'&;<./#9=>;[email protected]/#1=A!B h ...
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