CHE330 Study Guide - Quiz Guide: Thermal Efficiency, Thermal Reservoir, Ideal Gas

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The gas is compressed reversibly and adiabatically to 10 bar, where the piston is locked in position. The cylinder is then brought into thermal contact with a heat reservoir at. 20 c, and heat transfer continues until the gas also reaches this temperature. The work required is 35% more than work of reversible, isothermal compression. The only way heat can be discarded from the engine is by radiation, the rate of which may be assumed to be given by. |qc| = k a tc where k is a constant and a is the area for radiation. For fixed power output |w| and fixed temperature th, show that the radiator area requirement is minimal when the temperature ratio tc/th is 0. 75.

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