Coefficient of Performance (Heat Pump)

C O P_{H P} = \frac{Q _{H}}{W} = \frac{T _{H}}{T _{H} - T _{C}}

Performance metric for heat pumps. COP_HP = COP_R + 1.

Variables

COP_HP

COP (heat pump)

Heating per work

unitless

Q_H

Heat delivered

Heat to hot reservoir

J

W

Work input

Work required

J

T_H

Hot temperature

Hot reservoir temp

K

T_C

Cold temperature

Cold reservoir temp

K

Derivation

COP_HP = Q_H/W. For Carnot: COP_HP = T_H/(T_H - T_C). Note: COP_HP = 1 + COP_R.

Your notes

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