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Why do I need to use the same temperatures to compute the CoP of the heat pump and efficiency of the engine?

April 26, 2017compute COP efficiency engine heat pump temperatures

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Why do I need to use the same temperatures to compute the CoP of the heat pump and efficiency of the engine?

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Simply because if you use different temperatures then there must be an energy source which you haven’t taken into account. For example, if the heat pump has solar panels which are warmer than the air then the sun is providing some energy.