Q128 / 180 · JIPMER 2017 · Physics

$p-V$ plots for two gases during adiabatic process as shown in figure plots 1 and 2 should correspond respectively to Figure

  • A
    He and $\mathrm{O}_2$
  • Correct answer
    B
    $\mathrm{O}_2$ and He
  • C
    He and Ar
  • D
    $\mathrm{O}_2$ and $\mathrm{N}_2$

Solution

Slope of adiabatic process of $p-V$ diagram $\left(\frac{d p}{d v}\right)=\gamma \frac{p}{V} \text { i.e. slope } \alpha \gamma$ From graph $(\text { slope })_2\gt$ (slope) $)_1$ $\Rightarrow \gamma_2\gt\gamma_1$ $\gamma$ for monoatomic gas (Ar, He) is greater than $\gamma$ for diatomic gas $\left(\mathrm{O}_2, \mathrm{~N}_2\right)$

Hence, the correct answer is option: 'B'.

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