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The density of a gas is 1.25 g/lit at 0^oC and 1atm pressure. The RMS velocity of the gas molecules is(in cm/s) (density of Hg = 13.6g/cc)

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$\sqrt{\frac{2 x 76 x 13.6 x 981 x 1000}{1.25}}$

$\sqrt{\frac{3 x 76 x 13.6 x 981}{1.25 x 1000}}$

$\sqrt{\frac{3 x 76 x 13.6 x 981 x 1000}{1.25}}$

$\sqrt{\frac{3 x 76 x 13.6 x 981}{1.25}}$

answer is C.

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Detailed Solution

$V_{rms} = \sqrt{\frac{3 P}{d}} = \sqrt{\frac{3 \times 76 \times 13.6 \times 981 \times 1000}{1.25}} cm / \sec$

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