(C) Given velocities: $C_1 = 100 \ ms^{-1}, C_2 = 200 \ ms^{-1}, C_3 = 500 \ ms^{-1}$.Root mean square (rms) velocity is given by the formula: $C_{rms

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(C) Given velocities: $C_1 = 100 \ ms^{-1}, C_2 = 200 \ ms^{-1}, C_3 = 500 \ ms^{-1}$.Root mean square (rms) velocity is given by the formula: $C_{rms} = \sqrt{\frac{C_1^2 + C_2^2 + C_3^2}{n}}$.Substituting the values: $C_{rms} = \sqrt{\frac{100^2 + 200^2 + 500^2}{3}}$.$C_{rms} = \sqrt{\frac{10000 + 40000 + 250000}{3}}$.$C_{rms} = \sqrt{\frac{300000}{3}} = \sqrt{100000}$.$C_{rms} = 100 \sqrt{10} \ ms^{-1}$.

Class 11 Chemistry States of Matter Molecular speeds

Medium

If a gas contains only three molecules that move with velocities of $100, 200, 500 \ ms^{-1}$. What is the rms velocity of that gas in $ms^{-1}$?

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A
$100 \frac{\sqrt{8}}{3}$
B
$100 \sqrt{30}$
C
$100 \sqrt{10}$
D
$\frac{800}{3}$

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If a gas contains only three molecules that move with velocities of $100, 200, 500 \ ms^{-1}$. What is the rms velocity of that gas in $ms^{-1}$?

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