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# One alternative energy source is the temperature difference between surface and deep water in the tropical oceans. Suppose a heat engine uses $25^{\circ} \mathrm{C}$ surface water as its hot reservoir and $4^{\circ} \mathrm{C}$ deep water as its cold reservoir. (a) Find the maximum efficiency of such an engine.

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In this part of the problem we need to find the maximum efficiency of a heat engine operating between $T_{\rm high} = 20~^\circ\rm C = 293~\rm K$ and $T_{\rm low} = 4~^\circ\rm C = 277~\rm K$.

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