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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 the average velocity of gas molecule would be :

(Molecular weight of oxygen is 32 g/mol; R = 8.3 J K–1 mol–1)

(1) \(\sqrt{\frac 33}\)

(2) \(\sqrt{\frac 83}\)

(3) \(\sqrt{\frac{3\pi}8}\)

(4) \(\sqrt{\frac{8\pi}3}\)

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