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

Respuesta :

Answer:

Power needed to pump=4.79 KW.

Explanation:

Given that:[tex]T_{1}=283K,T_{2}=313K,Q_{H}=50KW[/tex]

We know that coefficient of performance of heat pump

 COP=[tex]\dfrac{T_{H}}{T_{H}-T_{L}}[/tex]

So COP=[tex]\dfrac{313}{313-283}[/tex]

      COP=10.43

COP=[tex]\frac{Q_{H}}{W_{in}}[/tex]

      10.43 =[tex]\frac{50}{W_{in}}[/tex]

[tex]W_{in}[/tex]=4.79 KW

So power needed to pump=4.79 KW.