Paragraph: In the figure a container is shown to have a movable (without friction) piston on top. The container and the piston are all made of perfectly insulating material allowing no heat transfer between outside and inside the container. The container is divided into two compartments by a rigid partition made of a thermally conducting material that allows slow transfer of heat. The lower compartment of the contain

Step-by-step solution

Heat given by lower compartment = 2 × 5 2 R × 700 - T ...(i) Heat obtained by upper compartment = 2 × 7 2 R × T - 400 ...(ii) By equating (i) and (ii) 5 700 - T = 7 T - 400 3000 - 5 T = 7 T - 2800 6300 = 12   T T = 525   K ∴ Work done by lower gas = n R ∆ T = - 350   R Work done by upper gas = n R ∆ T = + 250   R Net work done - 100   R