Question #$1(5$ marks$)$ A heat engine receives heat from a source at $1000C$ and rejects waste heat to a sink at $50C.$ Heat supplied to this engine at a rate of $500(k\frac{J}{s}).$

A$)$ Sketch a diagram of this process showing hot and cold sinks$,$ the flow of energy and indicating values where given.

B$)$ Calculate the theoretical maximum power this heat engine can produce. $($Answer in kW $)$

C$)$ If the actual efficiency of this heat engine is $58\%,$ calculate i$)$ the network output and ii$)$ the heat rejected by the engine. $($Answer in $kW)$

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