The critical constants PC and TC for four gases are as follows:
Gas Critical temperature Critical pressure
$O_{2}$ 153 K 50 bar
$C l_{2}$ 417 K 76 bar
$H_{2}$ 33.9 K 13.5 bar
$H e$ 5.12 K 2.2 bar
The gas with the smallest value of van der Waals constant b is

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$O_{2}$

$C l_{2}$

$H_{2}$

$H e$

answer is D.

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Detailed Solution

$T_{C} = \frac{8 a}{27 R b} a n d P_{C} = \frac{a}{27 b^{2}} \Rightarrow b = \frac{R . T_{C}}{8. P_{C}} a n d \frac{T_{C}}{P_{C}}$ is minimum for $H e .$

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