A carnot cycle is operating between a high temperature reservoir at T_H=400 degr

Question

A carnot cycle is operating between a high temperature reservoir at T_H=400 degrees celcius and a low temprature reservoir at T_L=-30 degrees celcius.

A) When this carnot cycle (the reversed one) is used in a heat pump and transferred 500kj of heat to the high temprature reservior per cycle, determine the amount of heat recieved in kj per cycle from the low temprature reservoir.

B)If the carnot cycle(the reversed one) is used in a refrigerator, determine the COP_R of this ideal refrigerator

C) Suppose the carnot cycle is used in a heat engine and recieved 500kj of heat from the high temprature reservoir per cycle, determine the net work output by this heat engine in KJ per cycle

Explanation / Answer

T_H=400 degrees celcius , T_H = 673 K , T_L = 30+273 = 303 K

efficiency n = (1- TH/TL) = 1-(303/673) = 0.549

A)

also   n = 1 - (Q2/Q1)

0.549 = 1-(Q2/500kJ)

solving Q2 = 225.5 kJ

B)

COP_R = Q1/(Q1_Q2) = 1.82

c)

net work done   W = Q1-Q2 = 500-225.5 = 274.5 kJ

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