Question

A house is maintained at 21C21^{\circ} \mathrm{C} in winter by electric resistance heaters. If the outdoor temperature is 3C,3^{\circ} \mathrm{C}, the second-law efficiency of the resistance heaters is (a) 0% (b) 4.1% (c) 6.1% (d) 8.6% (e) 16.3%

Solution

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The second-law efficiency simply is:

ηII=1T0TH=1276294=0.061\begin{align*} \eta_{\text{II}}&=1-\dfrac{T_{0}}{T_{H}}\\ &=1-\dfrac{276}{294}\\ &=\boxed{0.061} \end{align*}

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