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At steady state, a cycle develops a power output of 10 kW for heat addition at a rate of 10 kJ per cycle of operation from a source at 1500 K. Energy is rejected by heat transfer to cooling water at 300 K. Determine the minimum theoretical number of cycles required per minute. |
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Answer» ong>ANSWER: Number of cycle per minute = 75 explanation Power output Wnet = 10 KW Temperature of hot reservoir = 1500 K Temperature of cold reservoir = 300 K solution we know that Efficiency is EXPRESS as n = 1 - here Tk is Temperature of hot reservoir and To is Temperature of cold reservoir so put here value in equation 1 we get n = 1- 300 ÷ 1500 n = 0.8 and Rate of heat input will be Rate of heat input Qin = 10 × No. of CYCLES per sec Rate of heat input Qin = 10 n n = Wnet ÷ 10 n put here value 0.8 = 10 ÷ 10 n solve it we get n = 1.25 so here Number of cycle per second is = 1.25 Number of cycle per minute will be = 1.25 × 60 Number of energy cycle per minute = 75 |
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