Physics - Heat & Thermo Question with Solution | TestHub

The left and right compartments of a thermally isolated container of length $L$ are separated by a thermally conducting, movable piston of area $A$. The left and right compartments are filled with 2 and 1 moles of an ideal gas, respectively. In the left compartment the piston is attached by a spring with spring constant k and natural length $\frac{\mathrm{L}}{5}$. In thermodynamic equilibrium, the piston is at a distance $\frac{\mathrm{L}}{2}$ from the left and right edges of the container as shown in the figure. Under the above conditions, if the pressure in the right compartment is $P=\frac{\mathrm{kL}}{\mathrm{A}}\alpha$, then the value of $\alpha$ is $\_\_\_\_$