Given,
$\begin{matrix} Gas & H_{2} & {CH}_{4} & {CO}_{2} & {SO}_{2} Critical Temperature/K & 33 & 190 & 304 & 430 \end{matrix}$

On the basis of data given above, predict which of the following gases shows least adsorption on a definite amount of charcoal?

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Solution

Same adsorbant (charcoal in this case) at same temperature will adsorb different gases to different extent. The extent to which gases are adsorbed is proportional to the critical temperature of gas.
$∵ T_{c} = \frac{8 a}{27 R b}$
where, $a$ is the magnitude of intermolecular forces between gaseous molecules. Thus, higher the cirtical temperature more is the gas adsorbed. Among the given gases, $H_{2}$ , has the minimum critical temperature, i.e. $33 K$ thus, it shows least adsorption on a definite amount of charcoal.

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On the basis of data given below predict which of the following gases shows least adsorption on a definite amount of charcoal?

Gas	$C O_{2}$	$S O_{2}$	$C H_{4}$	$H_{2}$
Critical temp,/K	304	630	190	33

C O_{2}

S O_{2}

C H_{4}

H_{2}

Gas	$C O_{2}$	$S O_{2}$	$C H_{4}$	$H_{2}$
Critical temp./K	304	630	190	33

Gas	$H_{2}$	$C H_{4}$	$C O_{2}$	$S O_{2}$
Critical Temperature $(K)$	$33$	$190$	$304$	$630$

C O_{2}

S O_{2}

C H_{4}

H_{2}

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