At a given temperature,the rms velocity of a | vedclass

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

Question

(D) The $rms$ velocity $(v_{rms})$ of a gas is given by the formula: $v_{rms} = \sqrt{\frac{3RT}{M}}$,where $M$ is the molar mass.Since the number of

Vedclass · Accepted Answer

$\frac{1}{\sqrt{m}}$

Vedclass · Answer

(D) The $rms$ velocity $(v_{rms})$ of a gas is given by the formula: $v_{rms} = \sqrt{\frac{3RT}{M}}$,where $M$ is the molar mass.Since the number of moles $n = \frac{m}{M}$,where $m$ is the total mass of the gas,we can write $M = \frac{m}{n}$.Substituting this into the $rms$ velocity formula: $v_{rms} = \sqrt{\frac{3RT}{(m/n)}} = \sqrt{\frac{3RTn}{m}}$.For a fixed amount of gas at a constant temperature,$T$,$R$,and $n$ are constants.Therefore,$v_{rms} \propto \frac{1}{\sqrt{m}}$.

At a given temperature,the $rms$ velocity of a gas molecule of mass $m$ is proportional to:

Similar Questions

The absolute temperature of a gas is determined by

Light gases like $H_2$ and $He$ are found in negligible amounts in the atmosphere. Why?

The root mean square velocity of a gas molecule of mass $m$ at a given temperature is proportional to

At which temperature is the r.m.s. velocity of a hydrogen molecule equal to that of an oxygen molecule at $47^{\circ} C$ (in $\,K$)?

Vedclass Test Series

Exam Paper Generator

Online Exam Module