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A 10 g sample of oxygen gas is taken in a container of volume 1 liter and is found to exert a pressure of 3 bar. Which of the following options is correct regarding speed of the molecules?

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All the molecules are moving at a same speed which is equal to 310 m/sec.

$U_{avg} = 300 m / \sec$

$U_{mps} = 304 \times \sqrt{\frac{2}{3}} m / \sec$

$U_{rms} = 310 m / \sec$

answer is C.

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Detailed Solution

It is known that,

$P \cdot V = \frac{1}{3} m \cdot N \cdot C^{2}$

Thus, for the speed of the molecules;

$U_{mps} = 304 \times \sqrt{\frac{2}{3}} m / \sec$

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