Chapter 5, Problem 5.18P

Interpretation Introduction

Interpretation:

Calculate $\Delta S$ in $\frac{\text{J}}{\text{mol K}}$ and $\Delta H$ in $\frac{\text{J}}{\text{mol}}$ for an ideal gas with constant heat capacity undergoes a change of state from conditions $T_1,P_1$ to conditions $T_2,P_2$ .

Concept Introduction:

The Change in entropy and enthalpy for an ideal gas with constant heat capacityis defined as below:

  $\Delta S=C_P\ln \frac{T_2}{T_1}-R\ln \frac{P_2}{P_1}$

And

  $\Delta H=Q={\displaystyle \underset{T_1}{\overset{T_2}{\int }}{C}_{P}dT}$ for non-constant heat capacity

For constant heat capacity,

  $\Delta H=C_P(T_2-T_1)$