NEET 2026 — Physics solution

NEET2026Physics

A flask contains argon and chlorine in the ratio of 2 : 1 by mass. The temperature of the mixture is 27°C. The ratio of root mean square speed of the molecules of the two gases $(\frac{V _{r m s}^{A r}}{V _{r m s}^{C l}})$ is :

(Atomic mass of argon = 40.0 u and molecular mass of chlorine = 70.0 u)

A
$\frac{7}{4}$
B
$\frac{2}{7}$
C
$\frac{7}{2}$
D
$\frac{7}{2}$

Solution

$V_{r m s} = \frac{3 R T}{M _{w}}$ , so at the same temperature $V_{r m s} \propto \frac{1}{M _{w}}$ .

$\frac{V _{r m s}^{A r}}{V _{r m s}^{C l}} = \frac{M _{w}^{C l}}{M _{w}^{A r}} = \frac{70}{40} = \frac{7}{4} = \frac{7}{2}$ .

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