A large reservoir at temperature TR is placed in thermal contact with a small system at temperature Ts. They both end up at the temperature of the reservoir, TR. The heat transferred from the reservoir to the system is Q = C (TR - Ts), where C is the heat capacity of the system. (a) Derive the expressions for the entropy changes for the system ASS and the reservoir ASR. (b) Show that the entropy change in the Universe ASU ASR + ASS is larger than 0 for both TR > Ts and TR