Match the devices in Column-I with their effi | vedclass

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(A) For a heat engine,the efficiency $\eta$ is defined as the ratio of work done to the heat absorbed from the source: $\eta = \frac{W}{Q_1} = \frac{Q

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$(a-ii, iii), (b-i)$

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(A) For a heat engine,the efficiency $\eta$ is defined as the ratio of work done to the heat absorbed from the source: $\eta = \frac{W}{Q_1} = \frac{Q_1 - Q_2}{Q_1}$.For a Carnot engine,this is also expressed in terms of temperatures as $\eta = \frac{T_1 - T_2}{T_1}$. Thus,$(a)$ matches with $(ii)$ and $(iii)$.For a heat pump,the coefficient of performance $(COP)$ is defined as the ratio of heat extracted from the cold reservoir to the work done: $	ext{COP} = \frac{Q_2}{W} = \frac{Q_2}{Q_1 - Q_2}$. Thus,$(b)$ matches with $(i)$.Therefore,the correct matching is $(a-ii, iii)$ and $(b-i)$.

Column-$I$	Column-$II$
$(a)$ Heat engine	$(i)$ $\text{COP} = \frac{Q_2}{Q_1 - Q_2}$
$(b)$ Heat pump	$(ii)$ $\eta = \frac{Q_1 - Q_2}{Q_1}$
	$(iii)$ $\eta = \frac{T_1 - T_2}{T_1}$

Match the devices in Column-$I$ with their efficiency/coefficient of performance in Column-$II$:

Column-$I$ Column-$II$

$(a)$ Heat engine $(i)$ $\text{COP} = \frac{Q_2}{Q_1 - Q_2}$

$(b)$ Heat pump $(ii)$ $\eta = \frac{Q_1 - Q_2}{Q_1}$

$(iii)$ $\eta = \frac{T_1 - T_2}{T_1}$

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Match the devices in Column-$I$ with their efficiency/coefficient of performance in Column-$II$: Column-$I$ Column-$II$ $(a)$ Heat engine $(i)$ $\text{COP} = \frac{Q_2}{Q_1 - Q_2}$ $(b)$ Heat pump $(ii)$ $\eta = \frac{Q_1 - Q_2}{Q_1}$ $(iii)$ $\eta = \frac{T_1 - T_2}{T_1}$