A solar heating system has a 25.0% conversion efficiency;the solar radiation incident on the panels is 800 W/m².What is the increase in temperature of 25.0 kg of water in a 1.00-h period by a 3.40-m²-area collector? (c_w = 4 186 J/kg⋅°C) A)93.6°C B)6.88°C C)23.4°C D)46.8°C E)17.5°C

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Quizplus · Accepted Answer

The rate of energy collection is:$$P=A\eta I=(3.40	ext{ m}^2)(0.250)(800	ext{ W/m}^2)=680	ext{ W}$$The increase in temperature is:$$\Delta T=\frac{Pt}{mc_w}=\frac{(680	ext{ W})(3600	ext{ s})}{(25.0	ext{ kg})(4186	ext{ J/kg}\cdot\degree	ext{C})}=\boxed{23.4\degree	ext{C}}$$

A Solar Heating System Has a 25