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# HW15s - Spring 2006 Thermodynamics Homework 15 Solution 1 A...

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Spring 2006 1 ME 201 Thermodynamics Homework 15 Solution 1. A Carnot heat engine produces power of 2.5 kW. It rejects heat to a river that is flowing at 2 kg/s, resulting in a temperature increase of 2 ° C. The average temperature of the river is 20 ° C. Determine (a) the heat transfer input required for the heat engine (b) the efficiency of the heat engine (c) the temperature at which heat transfer occurs to the engine Solution: We begin with our interaction diagram for a heat engine. Our appropriate equations are: η th net H = W Q ° ° ° ° ° Q = W + Q H net L η Carnot L H = 1- T T We note that we have 2 parameters given, K 293 = T and kW 2.5 = W L net ° , and four unknowns, and , T , Q , Q th H L H η ° ° . Clearly with just three equations we have a poorly posed problem. In these cases we need to see if we can determine a heat transfer rate High Temperature Reservoir at T H Low Temperature Reservoir at T L Heat Engine Q H Q L W net

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ME 201 Thermodynamics Spring 2006 2 from a 1 st law analysis on one of the heat reservoirs. For this problem the most likely
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HW15s - Spring 2006 Thermodynamics Homework 15 Solution 1 A...

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