(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

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

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If the kinetic energy of $O_2$ gas is $4.0 \ kJ \ mol^{-1}$,its $RMS$ speed in $cm \ s^{-1}$ is

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At $400 \ K$,the root mean square $(rms)$ speed of a gas $X$ (molecular weight $= 40$) is equal to the most probable speed of gas $Y$ at $60 \ K$. The molecular weight of the gas $Y$ is:

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Which of the following is the correct relationship for the root mean square velocity $(V_{rms})$?

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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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The $rms$ velocity of hydrogen is $\sqrt{7}$ times the $rms$ velocity of nitrogen. If the temperature of the gas is $T$,then which of the following is true?

The ratio of the most probable speed to the average speed is .............. .

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