The term Coefficient of Performance (COP) is simply the ratio of the cooling effect produced expressed in Btu/hr divided by the energy input expressed on the same basis. For an electric chiller at 0.6 kW/ton, this ratio is 12,000 Btu for a ton of cooling divided by the corresponding 0.6 kW energy input. The units of kW can best be thought of as kW hours per hour. Each kW is equivalent to 3,413 Btu, therefore 0.6 kW is 2,048 Btu. Therefore, a 0.6 kW/ton chiller is equivalent to a COP of 12,000 Btu/2,048 Btu, about 5.9 COP. Notice the term COP is dimensionless.
There is a short-cut formula to compute COP directly from any given kW/ton. Simply divide 3.516 by the chiller's kW/ton to derive COP. (3.516 comes from dividing 12,000 Btu by 3413 Btu per kWh). For example, 3.516/0.6 is the same ~ 5.9 COP as before. Be careful when comparing cooling system COPs to be sure exactly what is being included. A fair comparison includes the full heat rejection circuit as well.