MCQ
The pressure-volume work for an ideal gas can be calculated by using the expression $\text{w}=-\int\limits^{\text{V}_\text{f}}_{\text{V}_\text{t}}\text{p}_\text{ex}\text{dV}\ .$The work can also be calculated from the $PV–$ plot by using the area under the curve within the specified limits. When an ideal gas is compressed $(a)$ reversibly or $(b)$ irreversibly from volume $V_i$ to $V_f$ . choose the correct option.
  • A
    $w ($reversible$) = w ($irreversible$)$
  • $w ($reversible$) < w ($irreversible$)$
  • C
    $w ($reversible$) > w ($irreversible$)$
  • D
    $w($reversible$) = w ($irreversible$)\  + \text{p}_\text{ex}.\Delta\text{V}$

Answer

Correct option: B.
$w ($reversible$) < w ($irreversible$)$


Area under the curve is greater in irreversible compression than that of reversible compression.

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