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  • Consider a sample of oxygen behaving like an ideal gas At 300K, the ratio of root mean square (rms) velocity to the average velocity of gas molecule would be: (molecular weight of oxygen is 32g/mol, R= 83JK-1 mol-1) <s

Consider a sample of oxygen behaving like an ideal gas At 300K, the ratio of root mean square (rms) velocity to the average velocity of gas molecule would be: (molecular weight of oxygen is 32g/mol, R= 83JK-1 mol-1)
Option: 1 \sqrt{\frac{3 \pi}{8}}
Option: 2 \sqrt{\frac{8}{3}}
Option: 3 \sqrt{\frac{3}{3}}
Option: 4 \sqrt{\frac{8 \pi}{3}}

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\begin{array}{l} v _{ rms }=\sqrt{\frac{3 RT }{ M }} \\ \\ v _{ avg }=\sqrt{\frac{8 RT }{\pi} \frac{ RT }{ M }} \\ \\ \frac{ V _{ ms }}{ v _{ avg }}=\sqrt{\frac{3 \pi}{8}} \end{array}

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Deependra Verma

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