A hurricane thermally takes in energy from ocean water at (26^{circ} mathrm{C}), discards some of it to

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A hurricane thermally takes in energy from ocean water at \(26^{\circ} \mathrm{C}\), discards some of it to the upper atmosphere at \(-52^{\circ} \mathrm{C}\), and converts the remainder to mechanical energy in the form of wind.

(a) What is the maximum possible efficiency for the thermal-to-mechanical conversion?

(b) If the temperature of the water increases by \(1^{\circ} \mathrm{C}\), by what amount does the maximum efficiency increase?

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