(a) What is the best coefficient of performance for a heat pump that has a hot r

Question

(a) What is the best coefficient of performance for a heat pump that has a hot reservoir temperature of 52.0°C and a cold reservoir temperature of -22.0°C? (b) How much heat in kilocalories would it pump into the warm environment if 3.60 107 J of work (10.0 kW·h) is put into it? kcal (c) Assume the cost of this work input is 10¢/kW·h. Also assume that the cost of direct production of heat by burning natural gas is 89.0¢ per therm (a common unit of energy for natural gas), where a therm equals 1.055 108 J. Compare the cost of producing the same amount of heat by each method. (cost of heat pump / cost of natural gas)

Explanation / Answer

a) For a heat pump, Coefficient of Performance, COP = Q/W = 52+22 / 3.6 x 107 = 20.55 x 107

b)74 J = 0.0176 kcal

c)

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