MCQ
$5\,\,mole$  of an ideal gas expand isothermally and irreversibly from a pressure of $10\,\,atm$  to $1\,\,atm$ aganist a constant external pressure of $1\,\,atm.$  $w_{irr}$ at $300\,\,K$  is
  • A
    $-15.921\,\,kJ$
  • $-11.224\,\,kJ$
  • C
    $-110.83\,\,kJ$
  • D
    None of these

Answer

Correct option: B.
$-11.224\,\,kJ$
b
Isothermal irreversible ideal gas is

$\omega=-P_2\left(V_2-V_1\right)$

or we can write

$\omega =-\pi R T\left(1-\frac{p_2}{p_1}\right)$

$\omega =-5 \times 8.314 \times 300\left(1-\frac{1}{10}\right)$

$=-5 \times 8.314 \times 300\left(\frac{9}{10}\right)$

$\omega =-11.224 \,kJ$

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