Two solid bodies at initial temperatures T1 and T2, with T1 >T2, are placed in thermal contact with each other. The bodiesexchange heat only with eachother but not with the environment. Theheat capacities C ≡ Q/∆T of each body are denoted C1 and C2, andare assumed to be positive.
(a) Is there any work done on the system? What is the total heatabsorbed by the system? Does the internal energy of each subsystemU1 and U2 change? What about the total internal energy U = U1 +U2?
(b) Calculate the final temperature, Tf , of the system.
(c) Show that T1 > Tf > T2.
(d) With the result of part (b), discuss what happens if C1 = 0or C2 = 0. What about if C1 → ∞ or C2 → ∞? Interpret yourresults
