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Question: Answered & Verified by Expert
Ther.m.s. velocity of oxygen molecule at $16^{\circ} \mathrm{C}$ is $474 \mathrm{~m} / \mathrm{sec}$. The r.m.s. velocity in $\mathrm{m} / \mathrm{s}$ of hydrogen molecule at $127^{\circ} \mathrm{C}$ is
PhysicsKinetic Theory of GasesBITSATBITSAT 2020
Options:
  • A 1603
  • B 1896
  • C 2230.59
  • D 2730
Solution:
1802 Upvotes Verified Answer
The correct answer is: 2230.59
$v_{\operatorname{oxg} .}=\sqrt{\frac{3 R \times 289}{32}}\left(v_{\mathrm{rms}}=\sqrt{\frac{3 R T}{\mathrm{M}}}\right)$

$\mathrm{v}_{\mathrm{H}}=\sqrt{\frac{3 \mathrm{R} \times 400}{2}}$ so $\mathrm{v}_{\mathrm{H}}=2230.59 \mathrm{~m} / \mathrm{sec}$

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