P2D.2 Starting from the expression Cp − CV = T(∂p/∂T)V(∂V/∂T)p, use the appropriate relations between partial derivatives (The chemist’s toolkit 9 in Topic 2A) to show that C C T V T V p ( / ) ( / ) p V p T 2 − = ∂ ∂ ∂ ∂ Use this expression to evaluate Cp − CV for a perfect gas.

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P2D.2 Starting from the expression Cp − CV = T(∂p/∂T)V(∂V/∂T)p, use the
appropriate relations between partial derivatives (The chemist’s toolkit 9 in
Topic 2A) to show that
C C
T V T
V p
( / )
( / ) p V
p
T
2
− = ∂ ∂
∂ ∂

Use this expression to evaluate Cp − CV for a perfect gas.

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