Question

Ethylene obeys the truncated virial equation-of-state $\frac{PV}{RT} = 1 + \frac{BP}{RT}$ where $P$ is the pressure, $V$ is the molar volume, $T$ is the absolute temperature, and $B$ is the second virial coefficient. The universal gas constant $R = 83.14$ bar cm$^3$ mol$^{-1}$ K$^{-1}$. At 340 K, the slope of the compressibility factor ($Z$) vs. pressure curve is $-3.538 \times 10^{-3}$ bar$^{-1}$. Let $G_R$ denote the molar residual Gibbs free energy. At these conditions, the value of $\left( \frac{\partial G_R}{\partial P} \right)_T$, in cm$^3$ mol$^{-1}$, rounded off to 1 decimal place, is _____.

Answer 1

The correct Answers is :-101.0 or -99.0 Approx