A heat engine operates between 37 degrees Celsius and -13 degrees Celsius. It is

Question

A heat engine operates between 37 degrees Celsius and -13 degrees Celsius. It is found that this machine is only 75% as efficient as a Carnot engine operating between the same two temperatures. In each cycle it takes in 200,000 J of heat from the high temperature reservoir.

A) What is the efficiency of this heat engine?

B) How much work does it do in each cycle?

C) How much heat is exhausted to the low temperature reservoir?

D) What is the entropy change of the high temperature reservoir?

E) What is the entropy change of the low temperature reservoir?

F) Is this thermal cycle reversible?

Thank you in advance! Please show all the steps.

Explanation / Answer

effieciency

e = 1- T2/ T1 = 1- ( -13+ 273)/273+ 37 = 0.1619

e = W/Q

W = eQ = 0.1619 ( 20,000) = 32380 J

W = QH - QC

QC = QH- W = 200000 J- 32380 J = 167620 J

(d)

s = Q/T = 200000 J/310 K = 645.16 K

(e)

s = 167620 J/ 260 = 644.69 J/K

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