Physics - Heat & Thermo Question with Solution | TestHub

Heat leads into a vessel containing 1 mole of an ideal monoatomic gas at a constant rate of $\frac{\mathrm{R}}{4}{\mathrm{Js}}^{-1}$ where R is the universal gas constant. It is observed that the gas expands at a constant rate $\frac{dV}{dt}=\frac{V_0}{400\text{ second }}$ where $V_0$ is the initial volume. The initial temperature is given ${\mathrm{T}}_0=40\mathrm{K}$. The rate of change in temperature of the gas at $\mathrm{t}=0$ is $\frac{\beta }{20}\mathrm{K}/\mathrm{s}$, then find the value of $\beta$.