Heat rejection to the environment, Chemistry

A Carnot heat engine gets heat at 800 K and rejects the waste heat to the environment at 300 K. The whole work output of the heat engine is used to drive a Carnot refrigerator that removes heat from the cooled space at 250 K at a rate of 400 kJ/min and rejects it to the similar environment at 300 K. Determine: a) the rate of heat supplied to the heat engine and b) the total rate of heat rejection to the environment.

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