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Thermodynamics filled in class notes_Part_41

Thermodynamics filled in class notes_Part_41 - 89 3.3 IDEAL...

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3.3. IDEAL MIXTURES OF IDEAL GASES 89 c v = N s i =1 c i c vi , (3.182) c v = c P R, if ideal gas, (3.183) c P = N s i =1 c i c Pi , (3.184) k = c P c v , (3.185) s = N s i =1 c i s i , (3.186) c i = y i M i M , (3.187) P i = y i P, (3.188) ρ i = c i ρ, (3.189) v i = v c i = 1 ρ i , (3.190) V = V i , (3.191) T = T i , (3.192) h i = h o i , if ideal gas , (3.193) h i = u i + P i ρ i = u i + P i v i = u i + R i T b ² if ideal gas , (3.194) h i = h o 298 ,i + i T 298 c ( ˆ T ) d ˆ T b ² if ideal gas , (3.195) s i = s o 298 ,i + i T 298 c ( ˆ T ) ˆ T d ˆ T b ² = s o T,i R i ln p P i P o P b ² if ideal gas , (3.196) s i = s o T,i R i ln p y i P P o P b ² if ideal gas = s o R i ln p P i P o P b ² if ideal gas , (3.197) P i = ρ i R i T = ρR i Tc i = R i T v i b ² if ideal gas , (3.198) CC BY-NC-ND. 18 November 2011, J. M. Powers.

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90 CHAPTER 3. GAS MIXTURES P = ρRT = ρ RT N s i =1 c i M i = RT v b ² if ideal gas , (3.199) h = N s i =1 c i h o 298 ,i + i T 298 c P ( ˆ T ) d ˆ T b ² if ideal gas , (3.200) h = u + P ρ = u + Pv = u + RT b ² if ideal gas , (3.201) s = N s i =1 c i s o 298 ,i + i T 298 c P ( ˆ T ) ˆ T d ˆ T R ln p P P o P R ln ³ N ´ i =1 y y i i µ . b ² if ideal gas (3.202) These relations are not obvious. A few are derived in examples here. Example 3.4 Derive the expression
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