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JEE Main 2023 (12 Apr, Shift 1) · Molecular Speeds & Maxwell Distribution

Molecular Speeds & Maxwell Distribution question from JEE Main 2023 (12 Apr, Shift 1)

Q44JEE Main 2023 · 12 APR · SHIFT 1Medium

Molecular Speeds & Maxwell Distribution

If the r. m.s speed of chlorine molecule is $490\text{ m/s}$ at $27^\circ\text{C}$ , the r. m. s speed of argon molecules at the same temperature will be (Atomic mass of argon $= 39.9\text{ u}$ , molecular mass of chlorine $= 70.9\text{ u}$ )

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Answer: (d)

Same $T$ : $v_{rms} \propto \frac{1}{\sqrt M}$
$v_{Ar} = 490\sqrt{\frac{70.9}{39.9}} = 490 \times 1.333 \approx 653\text{ m/s}$
Closest option is (d) $651.7\text{ m/s}$ .

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