Question: A solar electric engine operating between (5^{circ} mathrm{C}) and (95^{circ} mathrm{C}) has an efficiency equal to one-half the Carnot efficiency. This engine is to drive

A solar electric engine operating between $5^{\circ} \mathrm{C}$ and $95^{\circ} \mathrm{C}$ has an efficiency equal to one-half the Carnot efficiency. This engine is to drive a $4 \mathrm{~kW}$ pump. If the collector has an efficiency of $50 \%$, calculate the area needed for operation in Egypt, where the insolation averages about $2800 \mathrm{~kJ} / \mathrm{m}^{2} \mathrm{~h}$ during the day. State any additional assumptions.

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