What is the COP formula?

COP = Q_c / W, where Q_c is cooling capacity and W is input power.

Is COP measured in a unit?

No. COP is dimensionless because it is a ratio of two power values.

Which calculation modes are available?

You can solve for COP, cooling capacity, or input power.

Which capacity units are supported?

The calculator supports W, kW, BTU/h, refrigeration ton, and kcal/h.

Which power units are supported?

Input power can be entered in W, kW, or hp.

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COP Calculator (Coefficient of Performance, COP = Q_c / W)

Compute the Coefficient of Performance (COP) of a chiller / heat pump: COP = Q_c / W, where Q_c is the cooling capacity and W the work input (both in consistent power units; COP is dimensionless). Three modes: solve COP (given Q_c and W), solve cooling capacity (given COP and W), or solve input power (given COP and Q_c). Capacity in W/kW/BTU·h⁻¹/ton/kcal·h⁻¹, power in W/kW/hp; all converted to W internally.

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2 examples

Solve COP: Q_c=3500 W, W=1000 W -> COP=3.5

Solve COP. Cooling capacity Q_c=3500 W, input power W=1000 W. COP=Q_c/W=3500/1000=3.5.

{"result":"COP (mode=cop). Q_c=3500 W, W=1000 W → COP=3.5.","metadata":{"input":{"mode":"cop","coolingCapacity":3500,"capacityUnit":"W","inputPower":1000,"powerUnit":"W","cop":null},"result":{"COP":3.5,"coolingCapacity_W":3500,"inputPower_W":1000,"mode":"cop"}}}

Solve capacity: COP=4, W=2 kW -> Q_c=8000 W (8 kW)

Solve capacity. COP=4, input power W=2 kW=2000 W. Q_c=COP·W=4·2000=8000 W=8 kW (per code).

{"result":"COP (mode=capacity). Q_c=8000 W, W=2000 W → COP=4.","metadata":{"input":{"mode":"capacity","coolingCapacity":null,"capacityUnit":"kW","inputPower":2,"powerUnit":"kW","cop":4},"result":{"COP":4,"coolingCapacity_W":8000,"inputPower_W":2000,"mode":"capacity"}}}

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7 options

SettingsAdjust formats, ranges, numbers, and modes.7

ModeselectOptionalSolve COP (needs Q_c and W), solve Cooling Capacity (needs COP and W), or solve Input Power (needs COP and Q_c).Cooling Capacity Q_cnumberRequiredCooling capacity Q_c. Enter in the selected Capacity Unit. Required unless solving capacity.Capacity UnitselectOptionalInput Power WnumberRequiredWork input / electrical power W. Enter in the selected Power Unit. Required unless solving power.Power UnitselectOptionalCoefficient of Performance COPnumberOptionalCOP value (dimensionless). Required when solving capacity or power; ignored when solving COP.Decimal PlacesnumberOptional

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COP Calculator (Coefficient of Performance, COP = Q_c / W)

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1. Calculate COP from cooling capacity and input power

2. Calculate cooling capacity from COP and input power

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