In an Isochoric process, the volume of the system remains constant. In this case, the heat supplied to the system only raises the temperature, as there is no work done due to no volume change (i.e., \( W = 0 \)). All the heat energy supplied is used to increase the internal energy and thus the temperature.
Final Answer: Isochoric process.
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 $\frac{3}{2}$ 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 $\frac{2L}{5}$. In thermodynamic equilibrium, the piston is at a distance $\frac{L}{2}$ 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 $P = \frac{kL}{A} \alpha$, then the value of $\alpha$ is ____