Efficiency of a Heat Exchange System

The efficiency of a system is determined by determining the difference between the amount of work and energy that is put into a system versus the amount of work and energy that you get out of a system.  The efficiency of a refrigerator or a heat pump is determined from the heat out, QH, the heat in, QL.
Efficiency of Refrigerator = 1/((QH/QL)-1)
pv diagram
Efficiency of Heat Pump= 1/(1-(QL/QH))
With the maximum efficiency, called the Carnot Efficiency, given by
Carnot Efficiency for Refrigerator
= 1/((TH/TL)-1)
    
Carnot Efficiency for Heat Pump= 1/(1-(TL/TH))


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