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Consider two large bodies with identical heat capacities. The two bodies are initially at different temperatures,...

Consider two large bodies with identical heat capacities. The two bodies are initially at different temperatures, Th and Tc, respectively, with Th > Tc. They are then allowed to come into thermal contact and heat is transferred from one body to the other. The total entropy change for this thermodynamic process is Δ????? = Δ?ℎ + Δ?? = ?ℎ/?ℎ + ??/??

The first law of thermodynamics requires Δ????? = Δ?ℎ + Δ?? = ?ℎ + ?? = 0. Which means that ?ℎ = −?? , but no indication is given about the spontaneous direction of heat transfer. However, the total entropy must increase and this determines the sign and direction of the heat transfer.

Which of the following statements is correct? PLEASE EXPLAIN

a. ?ℎ < 0, ?? > 0

b. ?ℎ > 0, ?? < 0

c. There is not enough information to establish the sign and direction of heat flow

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