COP Implied by the Heat of Rejection
The inverse of the condenser-heat-rejection tile: the COP implied by a measured or rated heat of rejection and the evaporator capacity, COP = Q_evap / (THR - Q_evap), with the compressor work THR - Q_evap. A system absorbing 60,000 Btu/h and rejecting 100,000 runs a COP of 1.5. Reads the operating efficiency off the condenser duty. Hermetic motor heat inflates the measured THR and lowers the apparent COP. An engineering aid; the rated data govern.
Formula and source
COP = Q_evap / (THR - Q_evap), the inverse of THR = Q_evap (1 + 1/COP); W_comp = THR - Q_evap; factor = THR / Q_evap. Requires THR > Q_evap.
The condenser total heat of rejection THR = Q_evap (1 + 1/COP), a standard refrigeration-cycle result, solved for the COP, by name.
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