Consider a cylindrical vessel of length 2l separated by a piston dividing it into two equal parts. The walls of the cylinder and the piston are adiabatic. Each part contains n moles of an ideal monoatomic gas at temperature T0. The piston is connected to two springs each having a spring constant k as shown in the figure. The right part of the cylinder is provided a heat Q through the heater slowly. The left part is maintained at a constant temperature T0 through a heat sink. In this process the piston is displaced by 2l towards the left. Find the amount of heat absorbed by the sink.