Chapter 5, Problem 5.16CP

Interpretation Introduction

Interpretation:

Whether the following equation is valid for an ideal gas or not should be determined.

  $\Delta S={\displaystyle \underset{T_i}{\overset{T_f}{\int }}\frac{C_V}{T}}dT+{\displaystyle \underset{V_i}{\overset{V_f}{\int }}\frac{\beta }{\kappa }}dV=C_V\ln \frac{T_f}{T_i}+\frac{\beta }{\kappa }(V_f-V_i)$

Concept Introduction:

Entropy is defined as the ratio of thermal energy to the temperature which is unavailable for work done. It is also defined as the measure of disorder of molecule of a system. It is an extensive property and state function. The spontaneous change takes place with an increase in entropy of the universe.

The expression is shown as:

  $\Delta S_{univ}=\Delta S_{sys}+\Delta S_{surr}$

The sum of entropy change of system and surrounding is equal to entropy change of universe.