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Heat engine of Carnot cycle gained heat at 850 K and dissipated the heat to the...

Heat engine of Carnot cycle gained heat at 850 K and dissipated the heat to the outdoor at
330 K. The overall work output of the heat engine is used to drive a Carnot refrigerator
that removes heat from the cooled space at (- 22) °C at a rate of 520 kJ/min and rejects it
to the same environment at 420 K. Determine:

(a) the rate of heat supplied to the heat engine.
(b) the total rate of heat rejection to the environment.

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