Question

A heat pump cycle whose coefficient of performance is 2.5 delivers energy by heat transfer to a dwelling at a rate of 20 kW.

(a) Determine the net power required to operate the heat pump, in kW.
(b) Evaluating electricity at $0.08 per determine the cost of electricity in a month when the heat pump operates for 200 hours.

Answer 1

Net power = 20kW

B.) $128

Explanation:

Given that :

Coefficient of performance = 2.5

Rate = 20kW

The net power required to operate the heat pump :

Energy delivery rate / Coefficient of performance

= 20kW / 2.5

= 8kW

B.) Given that electricity cost equals $0.08 per kW

If pump operates for 200 hours

Total energy used in kWhr :

8kW * 200= 1600kW

Cost per kW = $0.08

1600 * 0.08 = $128