# 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. > Canonical page: https://elysiatools.com/en/tools/cop-calculator - **Category:** Math & Numbers - **Keywords:** COP, coefficient of performance, chiller, heat pump, refrigeration, cooling capacity, input power, energy efficiency ## Overview Calculate the coefficient of performance (COP) for a chiller or heat pump, or solve for cooling capacity or input power. Enter compatible capacity and power values using supported units; the calculator converts them to watts internally and returns a JSON result. ## Inputs - **Mode** (select): Solve 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_c** (number): Cooling capacity Q_c. Enter in the selected Capacity Unit. Required unless solving capacity. - **Capacity Unit** (select) - **Input Power W** (number): Work input / electrical power W. Enter in the selected Power Unit. Required unless solving power. - **Power Unit** (select) - **Coefficient of Performance COP** (number): COP value (dimensionless). Required when solving capacity or power; ignored when solving COP. - **Decimal Places** (number) ## When to use - Compare chiller or heat pump efficiency using COP = Q_c / W. - Estimate cooling capacity from a known COP and input power. - Determine required input power from a known COP and cooling capacity. ## How it works - Choose a mode: Solve COP, Solve Cooling Capacity, or Solve Input Power. - Enter the required cooling capacity, input power, or COP values for the selected mode. - Select capacity units such as W, kW, BTU/h, ton, or kcal/h, and power units such as W, kW, or hp. - The calculator converts values to watts, applies the COP relationship, rounds the result to the selected decimal places, and returns JSON. ## Use cases - Evaluate the efficiency of refrigeration equipment from measured cooling capacity and electrical input. - Estimate the cooling output of a heat pump when its COP and input power are known. - Calculate the input power needed to achieve a target cooling capacity at a specified COP. ## Frequently asked questions ### 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. ## Related tools - [Absolute Value Calculator](https://elysiatools.com/en/tools/absolute-value-calculator): Calculate the absolute value of positive, negative, or decimal numbers and explain the sign relationship - [Air Changes per Hour (ACH, n = Q/V)](https://elysiatools.com/en/tools/air-changes-per-hour): Compute the air change rate (ACH / n) of a room from the outdoor supply airflow Q and the room volume V: n = Q/V (1/h). Three modes: solve ACH (given Q and V), solve airflow (given n and V), or solve volume (given n and Q). 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