Answer:
W=2 MW
Explanation:
Given that
COP= 2.5
Heat extracted from 85°C
Qa= 5 MW
Lets heat supplied at 150°C = Qr
The power input to heat pump = W
From first law of thermodynamics
Qr= Qa+ W
We know that COP of heat pump given as
[tex]COP=\dfrac{Qr}{W}[/tex]
[tex]2.5=\dfrac{5}{W}[/tex]
[tex]2.5=\dfrac{5}{W}[/tex]
W=2 MW
For Carnot heat pump
[tex]COP=\dfrac{T_2}{T_2-T_1}[/tex]
[tex]2.5=\dfrac{T_2}{T_2-(273+85)}[/tex]
2.5 T₂ - 895= T₂
T₂=596.66 K
T₂=323.6 °C
