MCQ
An ideal gas is expanded from $1 \times 10^{-3} \,m^3$ to $1 \times 10^{-2} \,m^3$ against constant pressure of $1 \times 10^5\, N/m^2$ at $300\, K$. The work done is
  • A
    $900\, KJ$
  • B
    $-900\, KJ$
  • C
    $270\, KJ$
  • $-900\, J$

Answer

Correct option: D.
$-900\, J$
d
$ \Delta \mathrm{V} =\left(1 \times 10^{-2}-0.1 \times 10^{-2}\right)\, \mathrm{m}^{3}=0.9 \times 10^{-2}\, \mathrm{m}^{3} $

$ \mathrm{W}=-\mathrm{P}_{\mathrm{ex}} \Delta \mathrm{V}=-1 \times 10^{5} \times 0.9 \times 10^{-2} \,\mathrm{J} $

$=-900\, \mathrm{J}$

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