Given are the following four containers.(I) H2(g)(II) He(g)(III) N2(g)(IV) O2(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 naving maximum root mean square speeds of gaseous molecules is

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 naving maximum root mean square speeds of gaseous molecules is

A
(I)
B
(II)
C
(III)
D
(IV)

Solution:

$c_{rms} = \sqrt{3 R T / M} \Rightarrow c_{rms} \propto 1 / \sqrt{M}$

, i.e. lesser the molar mass, larger the root mean square speed.

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