(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)

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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?

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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Class 11 Questions

Class 11

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Chapter

Kinetic Theory of Gases

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

At what temperature (in $K$) is the $rms$ velocity of a hydrogen molecule equal to that of an oxygen molecule at $47^o \ C$?

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At a temperature of $27^{\circ}C$ and a pressure of $1 \, atm$,the ratio of the root mean square velocities $(\nu_{rms})_{H_2} / (\nu_{rms})_{O_2}$ for hydrogen and oxygen molecules is:

Medium

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At a given temperature,the root mean square velocities of oxygen and hydrogen molecules are in the ratio:

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For a gas at room temperature of $27^{\circ}C$,the value of $\nu_{rms}$ is $1930 \, m/s$. The gas is.......... $(R = 8.3 \, J/mol \cdot K)$.

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Uranium has two isotopes of masses $235$ and $238$ units. If both of them are present in uranium hexafluoride gas, find the percentage ratio of the difference in rms velocities of the two isotopes to the rms velocity of the heavier isotope.

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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?

Similar Questions

At what temperature (in $K$) is the $rms$ velocity of a hydrogen molecule equal to that of an oxygen molecule at $47^o \ C$?

At a temperature of $27^{\circ}C$ and a pressure of $1 \, atm$,the ratio of the root mean square velocities $(\nu_{rms})_{H_2} / (\nu_{rms})_{O_2}$ for hydrogen and oxygen molecules is:

At a given temperature,the root mean square velocities of oxygen and hydrogen molecules are in the ratio:

For a gas at room temperature of $27^{\circ}C$,the value of $\nu_{rms}$ is $1930 \, m/s$. The gas is.......... $(R = 8.3 \, J/mol \cdot K)$.

Uranium has two isotopes of masses $235$ and $238$ units. If both of them are present in uranium hexafluoride gas, find the percentage ratio of the difference in rms velocities of the two isotopes to the rms velocity of the heavier isotope.

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