Question

2. Consider two bodies with temperature independent heat capacities C1 and C2, and initial temperatures T1 > T2.

   1. (a) If the two bodies are brought into contact such that the only heat exchange is between them, what is the final temperature Tfinal , and what is the change in entropy.

   2. (b) Suppose instead that the difference in temperature between the two bodies is used to drive an ideal heat engine (Carnot cycle). In one operation of the cycle some amount of entropy is transferred from body 1 to body 2. What are the temperatures of the two bodies after one operation of the cycle. (Assume that the change in temperature is small enough that you can neglect the change in temperature when computing the work done in the Carnot cycle).

   3. (c) Now suppose that the process is repeated until the two bodies are at the same tem- perature. What is the final temperature, and what is the amount of work done by the heat engine?

Answer 1