MCQ
The work done during reversible isothermal expansion of one mole of hydrogen gas at $25^{\circ} \mathrm{C}$ from pressure of $20 \mathrm{atmosphere} \mathrm{to} 10 \mathrm{atmosphere}$ is

(Given $R=2.0 \mathrm{cal} \mathrm{K}^{-1} \mathrm{~mol}^{-1}$ )

  •  $-413.14$ calories
  • B
     $413.14$ calories
  • C
    $100$ calories
  • D
    $0$ calorie

Answer

Correct option: A.
 $-413.14$ calories
a
$W_{\text {rev, iso }} $$ =-2.303 n R T \log \frac{P_i}{P_f} $

$ =-2.303 \times 1 \times 2 \times 298 \times \log 2 $

$ =-2.303 \times 1 \times 2 \times 298 \times 0.3 $

$ =-413.14 \text { calories }$

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