A heat engine operates in a Carnot cycle between $88\mathrm{.}0C$ and $355C.$ It absorbs $21,200J$ of energy per cycle from the hot reservoir. The duration of each cycle is $2\mathrm{.}00$ s $.$

$($a$)$ What is the mechanical power output of this engine?

Determine the efficiency of the Carnot cycle and apply the definition of power. kW

$($b$)$ How much energy does it expel in each cycle by heat?

You may have made an error in calculating the mechanical work in part $($a$)$ and used the erroneous result to calculate the heat expelled in part $($b$).$ kJ

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