Calculating Net Power for a Heat Pump Cycle

AI Thread Summary
To calculate the net power required to operate a heat pump with a coefficient of performance (COP) of 2.5 delivering 20 kW, the formula used is electrical power input = Qout / COP, resulting in 8 kW. This represents the net power needed for operation. Additionally, when evaluating electricity costs at 8 cents per kWh for 200 hours of operation, the total consumption is 1,600 kWh, leading to a monthly cost of $128. The discussion highlights that while this cost is typical, natural gas may be a cheaper alternative for heating. Understanding the net power and its calculation is crucial for evaluating heat pump efficiency and operational costs.
eku_girl83
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Here's my problem:
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 8 cents per kWh, determine the cost of electricity in a month when the heat pump operates for 200 hours.

I know that the coefficient of performance = Qout/Wcycle = Qout/(Qout-Qin).
But what is meant by net power? And more importantly, how do I calculate it?

Thanks for help in advance,
eku_girl83
 
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Here's my problem:
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.
20 kw/2.5 = electrical power input = 8 kw This must be the "net power."
That is about typical for a freon based heat pump. I got one.

b) Evaluating electricity at 8 cents per kWh, determine the cost of electricity in a month when the heat pump operates for 200 hours.
8 kw x 200 hr = 1600 kwh. 1600 kwh x .08 $/kwh = $128.00
Looks like a typical bill to me. But natural gas is cheaper.

I know that the coefficient of performance = Qout/Wcycle = Qout/(Qout-Qin).
But what is meant by net power? And more importantly, how do I calculate it?
 
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