Given are the following four containers.
(I) $H_{2} (g)$
(II) $He (g)$
(III) $N_{2} (g)$
(IV) $O_{2} (g)$
Each container contains the same mass of the indicated gas at the same T ( = 300 K). Based on this information, answer the questions given below.
The container having a gas with minimum viscosity is

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(I)

(II)

(III)

(IV)

answer is A.

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Detailed Solution

The expression of viscosity is $η = \frac{{(m k_{B} t)}^{1 / 2}}{π^{3 / 2} σ^{2}}$ where $σ = 2 r \propto b^{1 / 3}$ . Hence, $η \propto m^{1 / 2} / b^{1 / 3} .$ Hydrogen will have least value of $m^{1 / 2} / b^{1 / 3}$ .

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