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.