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An ideal gas heat engine operates in a Carnot's cycle between $227^{\circ} \mathrm{C}$ and $127^{\circ} \mathrm{C}$. It absorbs $6 \times$ $10^4 \mathrm{~J}$ at high temperature. The amount of heat converted into work is ...
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$1.2 \times 10^4 \mathrm{~J}$
$\begin{aligned} \eta= & 1-\frac{T_2}{T_1}=1-\frac{400}{500}=\frac{1}{5} \boxtimes \eta=\frac{W}{Q} \Rightarrow \frac{1}{5}=\frac{W}{Q} \\ & \Rightarrow W=\frac{Q}{5}=\frac{6}{5} \times 10^4=1.2 \times 10^4 \mathrm{~J}\end{aligned}$
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