(A) The $rms$ speed of gas molecules is given by the formula $v_{rms} = \sqrt{\frac{3RT}{M}}$,where $R$ is the universal gas constant,$T$ is the absol

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(A) The $rms$ speed of gas molecules is given by the formula $v_{rms} = \sqrt{\frac{3RT}{M}}$,where $R$ is the universal gas constant,$T$ is the absolute temperature,and $M$ is the molar mass of the gas.Since $R$ and $T$ are constant for all gases at a given temperature,we have $v_{rms} \propto \frac{1}{\sqrt{M}}$.The molar masses are: $M_H = 2 \ g/mol$,$M_N = 28 \ g/mol$,and $M_O = 32 \ g/mol$.Since $M_H \frac{1}{\sqrt{M_N}} > \frac{1}{\sqrt{M_O}}$.Therefore,$V_H > V_N > V_O$.

Class 11 Physics Kinetic Theory of Gases Speed (velocity) of Gas (rms, mean and Most probable speed)

Easy

If $V_H, V_N$,and $V_O$ represent the $rms$ speeds of hydrogen,nitrogen,and oxygen molecules at a given temperature,respectively,then which of the following is correct?

A
$V_H > V_N > V_O$
B
$V_O = V_N = V_H$
C
$V_O > V_H > V_N$
D
$V_N > V_O > V_H$

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Kinetic Theory of Gases

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Speed (velocity) of Gas (rms, mean and Most probable speed)

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If $V_H, V_N$,and $V_O$ represent the $rms$ speeds of hydrogen,nitrogen,and oxygen molecules at a given temperature,respectively,then which of the following is correct?

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