Question $4(10$ points$)$

Consider a heat engine that receives $20$ kW of heat from a heat source at $500C$ and releases heat to a

heat sink at $50C.$ The thermal efficiency of the system is a function of the temperatures of the heat source

and heat sink, as given by the formula. What is the maximum possible power that this heat engine could

generate between the provided heat sink and heat source? $(10$ points$)$

${}_{H.E.}=\frac{1\mathrm{.}4(T_h+T_c)}{T_{h}ln(T_c)}$