2. (a) Starting with the first law of thermodynamics and the definitions of C, and Cv, show that c, − c = p + (%),](%r)_ (b) Use the above results plus the expression to find C-C, for a Van der Waals gas p+ (35)₁ = T(F), T P + (V - Nb) = NKT 2N2 V2 Use that result to show that as V→ ∞o at constant p, you obtain the ideal gas result for Cp - C.
2. (a) Starting with the first law of thermodynamics and the definitions of C, and Cv, show that c, − c = p + (%),](%r)_ (b) Use the above results plus the expression to find C-C, for a Van der Waals gas p+ (35)₁ = T(F), T P + (V - Nb) = NKT 2N2 V2 Use that result to show that as V→ ∞o at constant p, you obtain the ideal gas result for Cp - C.
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Subject: Statistical and Thermal Physics
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(b) Use the above results plus the expression
to find C-C, for a Van der Waals gas
p+
(35)₁ = T(F),
T
P
2N2
+ (V - Nb) = NKT
V2
Use that result to show that as V→ ∞ at constant p, you obtain the ideal gas result for Cp - C₂.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F744a2159-5476-425d-a14d-63f437660b59%2Fb080c30f-5590-4b98-b750-b99b4b81c1ec%2F61yd9ls_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. (a) Starting with the first law of thermodynamics and the definitions of Cp and Cv, show that
c, - c = [p + (@E)_](&r)_
(b) Use the above results plus the expression
to find C-C, for a Van der Waals gas
p+
(35)₁ = T(F),
T
P
2N2
+ (V - Nb) = NKT
V2
Use that result to show that as V→ ∞ at constant p, you obtain the ideal gas result for Cp - C₂.
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