If the r.m.s. speed of chlorine molecule is 490 m/s at 27°C, the r.m.s. speed of argon molecules at the same temperature will be (Atomic mass of argon = 39.9 , molecular mass of chlorine = 70.9 ) [2023]

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Solution

Q.
If the r.m.s. speed of chlorine molecule is 490 m/s at 27°C, the r.m.s. speed of argon molecules at the same temperature will be (Atomic mass of argon = 39.9 $u$ , molecular mass of chlorine = 70.9 $u$ ) [2023]

1 751.7 m/s

2 451.7 m/s

3 651.7 m/s

4 551.7 m/s

Ans.
(3)

$V_{rms} = \sqrt{\frac{3 R T}{M}}, \frac{v_{Ar}}{v_{Cl}} = \sqrt{\frac{M_{Cl}}{M_{Ar}}}$

$\Rightarrow V_{Ar} = 1.33 \times 490 = 651.7 m/s$

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