Chemistry - Thermodynamics - II Question with Solution | TestHub

One mole of an ideal monoatomic gas undergoes a reversible cyclic process $\mathrm{A}\to \mathrm{B}\to \mathrm{C}\to \mathrm{A}$. The initial process A $\to B$ follows the non-standard thermodynamic path $\mathrm{P}=\alpha {\mathrm{T}}^2$, where $\alpha$ is a positive constant. The subsequently process B → C is an isothermal expansion, and the final process C → A is an isochoric cooling that returns the gas to its initial state. If the absolute temperature at state A is ${\mathrm{T}}_0$ and the absolute temperature at state B is $2{\mathrm{T}}_0$, what is the ratio of net mechanical work done by the gas $\left({\mathrm{W}}_{\text{net }}\right)$ to work done by gas in process AB? $(\ln 2=0.693)$