An expression for ( ∂ C V / ∂ V ) T as a second derivative of U by using the given property has to be stated. The relation of this expression with ( ∂ U / ∂ V ) T has to be stated. The equation for perfect gas as ( ∂ C V / ∂ V ) T = 0 has to be shown. Concept introduction: The ratio of the total amount of internal energy of a substance with the resulting increased temperature is known as heat capacity. The heat capacity of a substance at constant volume is denoted as C V . The heat capacity of a substance at constant volume is expressed as, C V = ( ∂ U ∂ T ) V

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Chapter 2, Problem 2.5IA

Interpretation Introduction

Interpretation: An expression for (∂CV/∂V)T as a second derivative of U by using the given property has to be stated. The relation of this expression with (∂U/∂V)T has to be stated. The equation for perfect gas as (∂CV/∂V)T=0 has to be shown.

Concept introduction: The ratio of the total amount of internal energy of a substance with the resulting increased temperature is known as heat capacity. The heat capacity of a substance at constant volume is denoted as CV. The heat capacity of a substance at constant volume is expressed as,

CV=(∂U∂T)V

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