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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. (b) How much heat would have to be removed from the surface water each day in order to produce energy at the rate of a typical large power plant, about $1000 \mathrm{MW}$ ?

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In this part of the problem we need to find out how much heat per unit time (power) would have to be removed from the surface (the hot reservoir), $\dot Q_H$, to produce $\dot{W} = 1000~\rm MW$ of useful work per unit time. $T_{\rm high} = 20~^\circ\rm C = 293~\rm K$ and $T_{\rm low} = 4~^\circ\rm C = 277~\rm K$.

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