By definition,
"\\displaystyle COP = \\frac{Q}{W}"
where where Q is the useful heat supplied or removed by the considered system and W is the work required by the considered system.
For Carnot cycle or Carnot engine,
"\\displaystyle COP = \\frac{T_H - T_C}{T_H} = 1 - \\frac{T_C}{T_H}"
"T_C" is the absolute temperature of the cold reservoir, and "T_C" is the absolute temperature of the hot reservoir.
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