Chemistry - Thermodynamics - II Question with Solution | TestHub

Consider a perfect gas contained in a cylinder and separated by a frictionless adiabatic piston into two sections A and B. A thermostat surrounds section B to keep its temperature constant. There is 2 mol of gas in each section. Initially, $T_{\mathrm{A}}=T_{\mathrm{B}}=300\mathrm{K}$, and $V_{\mathrm{A}}=V_{\mathrm{B}}=2\mathrm{L}$. Heat is added to section A, and the piston moves to the right reversibly until the final volume of section B is $1\mathrm{L}$.

Assume $C_{\mathrm{v},\mathrm{m}}=20\mathrm{J}{\mathrm{K}}^{-1}\mathrm{mo}{\mathrm{l}}^{-1}$. $\ln 2=0.693$ and $\ln 3=1.098$.