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Thermodynamics
Carnot Engine and Efficiency
1 question from 1 paper, each with its answer.
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Concepts tested
- Carnot efficiency
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2023 1 question
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A Carnot engine has an efficiency of 50% when its source is at a temperature $327^\circ C$. The temperature of the sink is:
$\eta=1-\frac{T_{sink}}{T_{source}}$ gives $T_{sink}=300\ K=27^\circ C$.
$\eta=1-\frac{T_{sink}}{T_{source}}=0.5\Rightarrow\frac{T_{sink}}{T_{source}}=0.5$ $\Rightarrow T_{sink}=\frac{1}{2}\times(273+327)=\frac{1}{2}\times600=300\ K=27^\circ C$