Three vessels A,B,and C contain gases at the | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The average velocity of a gas molecule is given by the formula $v_{av} = \sqrt{\frac{8kT}{\pi m}}$,where $k$ is the Boltzmann constant,$T$ is the

Vedclass · Accepted Answer

$V_1$

Vedclass · Answer

(B) The average velocity of a gas molecule is given by the formula $v_{av} = \sqrt{\frac{8kT}{\pi m}}$,where $k$ is the Boltzmann constant,$T$ is the absolute temperature,and $m$ is the mass of one molecule of the gas.Since the temperature $T$ is the same for all vessels,the average velocity of a specific gas depends only on its molecular mass $m$.In vessel $A$,the average velocity of $O_2$ is $V_1 = \sqrt{\frac{8kT}{\pi m_{O_2}}}$.In vessel $C$,the $O_2$ molecules are at the same temperature $T$ and have the same molecular mass $m_{O_2}$ as in vessel $A$.The presence of $N_2$ in the mixture in vessel $C$ does not affect the individual average velocity of the $O_2$ molecules.Therefore,the average velocity of $O_2$ in vessel $C$ remains $V_1$.

Similar Questions

The effect of temperature on Maxwell's speed distribution is correctly shown by

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.

If the root mean square (rms) speed of nitrogen molecules at room temperature is $100 \ m \ s^{-1}$, then the rms speed of Helium molecules at the same temperature is

The $rms$ speed of a gas at room temperature of $27^{\circ}C$ is found to be $412 \ m/s$. The gas is:

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?

Vedclass Test Series

Exam Paper Generator

Online Exam Module