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Consider a sample of oxygen behaving like an ideal gas. At \(300 K\), the ratio of root mean square (rms) velocity to th…

Q1

Consider a sample of oxygen behaving like an ideal gas. At \(300 K\), the ratio of root mean square (rms) velocity to the average velocity of gas molecule would be:
(Molecular weight of oxygen is \(32 g / mol ; R=8.3 JK ^{-1}\) \(\left.mol ^{-1}\right)\)

[JEE Main 2021, 18 Mar (Shift 2)]

a

\(\sqrt{\frac{8 \pi}{3}}\)

b

\(\sqrt{\frac{8}{3}}\)

c

\(\sqrt{\frac{3}{3}}\)

d

\(\sqrt{\frac{3 \pi}{8}}\)

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