In a Carnot engine, the absolute temperature of the source is $25 \%$ more than the absolute temperature of…

In a Carnot engine, the absolute temperature of the source is $25 \%$ more than the absolute temperature of the sink. The efficiency of the engine is
  1. $10 \%$
  2. $50 \%$
  3. $25 \%$
  4. $20 \%$

Solution

$\mathrm{T}_2=\mathrm{T}, \mathrm{~T}_1=1.25 \mathrm{~T}$ $\therefore$ Efficiency of cannot engine is $\eta=1-\frac{T_2}{T_1}=1-\frac{T}{1.25 T}=\frac{1}{5}$ $\therefore \quad \% \eta=\frac{1}{5} \times 100=20 \%$

Asked in: AP EAMCET 2024 (18 May Shift 1)

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