Question

How much power is needed to operate a Carnot heat pump if the pump receives heat 10°C and delivers 50 kW of heat at 40°C? at A) 5.30 kw B) 151 kw C) 37.5 kW D) 4.79 kw

Answer 1

Power needed to pump=4.79 KW.

Step-by-step explanation:

Given that:
`T_(1)=283K,T_(2)=313K,Q_(H)=50KW`

We know that coefficient of performance of heat pump

COP=
`(T_(H))/(T_(H)-T_(L))`

So COP=
`(313)/(313-283)`

COP=10.43

COP=
`(Q_(H))/(W_(in))`

10.43 =
`(50)/(W_(in))`

`W_(in)`=4.79 KW

So power needed to pump=4.79 KW.