1. A steam-electric power plant delivers 900 MW of electricpower. The surplus he
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1. A steam-electric power plant delivers 900 MW of electricpower. The surplus heat is exhausted into a river with a flow of1.77×105 kg/s, causing a change in temperature of2.36 oC. What is the efficiency of the powerplant? 2. What is the rate of the thermal source? I am confused on how to solve both of these. Can someoneplease show me step by step how to solve these problems? 1. A steam-electric power plant delivers 900 MW of electricpower. The surplus heat is exhausted into a river with a flow of1.77×105 kg/s, causing a change in temperature of2.36 oC. What is the efficiency of the powerplant? 2. What is the rate of the thermal source? I am confused on how to solve both of these. Can someoneplease show me step by step how to solve these problems?Explanation / Answer
Q = Mass Flow Rate*Heat Capacity of Water*T Q = (1.77e5 kg/s)*(4.18 J/g/C)*(2.36 C)*(1000 g/ 1kg) = 1746069600J/s Q = 1746069600 J/s *(1 W / [1 J/s]) *(1 MW/1e6 W) = 1746MW 1) Efficiency, (900 MW)/(900 MW +1746 MW) = 0.340127108 => 34.0 % 2) 900 MW + 1746 MW = 2646 MW ~ 2.65 x103 MW
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