A carnot engine operates between two finite heat reservoirs of total heat capaci

Question

A carnot engine operates between two finite heat reservoirs of total heat capacity Ct H and Ct C. Develop an expression relating TC to TH at any time. Determine an expression for the work obtained as a function of Ct H, Ct C, TH, and the initial temperatures TH0 and TC0. What is the maximum work obtainable? This corresponds to infinite time, when the reservoirs attain the same temperature. In approaching this problem, use the differential form of Carnot's equation, and a differential energy balance for the engine, Here, QC and QH refer to the reservoirs.

Explanation / Answer

Answer is in this pdf,completely solved,step by step: http://usna.academia.edu/CarlMungan/Papers/615810/Heat_engine_with_finite_thermal_reservoirs_and_nonideal_efficiency

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