The relation ( ∂ S / ∂ p ) T = − α V is to be derived. Concept introduction: The Maxwell relations are the equations showing the relation between the thermodynamic properties. These relations are obtained due to the thermodynamic functions being the exact differentials. These relations show the dependency of the different thermodynamic properties on each other. The expansion coefficient is defined as the fraction change in volume with respect to the change in temperature. Therefore, it defines the change in size on changing temperature. It is represented by the formula given below. α = 1 V ( ∂ V ∂ T ) p

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Chapter 4, Problem 4.37E

Interpretation Introduction

Interpretation:

The relation (∂S/∂p)T=−αV is to be derived.

Concept introduction:

The Maxwell relations are the equations showing the relation between the thermodynamic properties. These relations are obtained due to the thermodynamic functions being the exact differentials. These relations show the dependency of the different thermodynamic properties on each other. The expansion coefficient is defined as the fraction change in volume with respect to the change in temperature. Therefore, it defines the change in size on changing temperature. It is represented by the formula given below.

α=1V(∂V∂T)p

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