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3. Please consider a heat engine that was taking in heat at the rate of 1,000J/sec at 1200 °K. The heat engine rejected heat to a heat sink at 400 °K at the rate of 500 J/sec. The engine also leaked heat at the rate of 50 J/sec into an environment at 300 °K. a. Please write and reduce the Mass Balance for the heat engine. b. Please write and reduce the Energy Balance for the heat engine. c. Please write and reduce the Entropy Balance for the heat engine. d. Please find the First Law Efficiency for the heat engine. e. Please find the Second Law efficiency relative a Carnot engine operating-between the same heat source and cold sink.

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