1. The problem statement, all variables and given/known data Consider two pistons of equal cross sectional area joined as illustrated in the following sketch (my rendition): [A|----|B] • Each piston contains n moles of an ideal gas of specific heat cV=(3/2) R. • Each piston's base is fixed, so when the rod joining the piston moves one must expand for the other to compress. • Piston A is thermally isolated and is initially at a pressure PA0 and a temperature T0. • Piston B is held in thermal equilibrium with a bath at temperature T0 and is initially at pressure PB0, which is higher than the initial pressure in piston A. • Piston B is allowed to expand quasi‐statically (reversibly) until there is no more net force on the rod joining the pistons. Piston B is frictionless, so during the expansion Pex=PB. A. Derive an expression that relates the following dimensionless quantities: π =P0B/P0A ,τ =TfA/T0A 2. Relevant equations Ideal Gas: PVm=RT, dW=-PdV=CvdT 3. The attempt at a solution Since the pistons are connected, when the piston stops moving, the work done in A will be equal to the work done by B? P0AdV=P0BdV -nRT0A/V0A = nRT0B/V0B How do I relate to pressure from here? Also tried using Heat Capacity: Wadiabatic = Cv(delta)T, which should equal the W of the reversible adiabatic B undergoes: =-PdV = -nRT/V dV Again, I can't see how to proceed. Thank you!