Chapter 2, Problem 2.26NP

A 2.50 mol sample of an ideal gas for which $C_{v,m}=3R/2$ undergoes the following two-step process: (1) From an initial state of the gas described by $\text{T}=\text{13}.\text{1}°\text{C}$ and $\text{P}=\text{1}.\text{75}\times \text{1}{0}^{\text{5}}\text{Pa}$, the gas undergoes an isothermal expansion against a constant external pressure of $\text{3}.\text{75}\times \text{1}{0}^{\text{4}}\text{Pa}$ until the volume has doubled. (2) Subsequently, the gas is cooled at constant volume. The temperature falls to $-\text{23}.\text{6}°\text{C}$. Calculate q, w, $\Delta U$, and $\Delta H$ for each step and for the overall process.