Question $2(2\mathrm{.}0$ points$)$:

One mole of a diatomic gas $($A$)$ are isothermally & reversibly compressed from $0\mathrm{.}5$ bar and $300$ K to $2$ bar. If $(A)$ is a real gas which EOS is: $Z=P\frac{V}{R}T=1\mathrm{.}0-0\mathrm{.}05P(P[\frac{?}{\text{b}\text{a}\text{r}}]),$ calculate enthalpy change of the process using the following relation:

$h_2-h_1={\displaystyle \underset{T_1}{\overset{T_2}{}}}{c}_{p}dT+{\displaystyle \underset{P_2}{\overset{P_2}{}}}[v-T(\frac{\text{d}\text{e}\text{l}\text{v}}{\text{d}\text{e}\text{l}\text{T}}{)}_P]dP$