MCQ
An ideal gas heat engine operates in a Carnot's cycle between $227^{\circ} \mathrm{C}$ and $127^{\circ} \mathrm{C}$. It absorbs $6 \times 10 \mathrm{~J}$ at high temperature. The amount of heat converted into work is $......$
  • A
    $4.8 \times 10^4 J$
  • B
    $3.5 \times 10^4 \mathrm{~J}$
  • C
    $1.6 \times 10^4 \mathrm{~J}$
  • $1.2 \times 10^4 \mathrm{~J}$

Answer

Correct option: D.
$1.2 \times 10^4 \mathrm{~J}$
$\eta=1-\frac{T_2}{T_1}=1-\frac{400}{500}=\frac{1}{5} (\because \eta=\frac{W}{Q}) $
$\Rightarrow \frac{1}{5}=\frac{W}{Q} $
$\Rightarrow W=\frac{Q}{5}=\frac{6}{5} \times 10^4=1.2 \times 10^4 \mathrm{~J}$

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