If the mass of a He atom is 4 times that of a | vedclass

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

Question

(B) The mean velocity of gas molecules is given by the formula $v_{av} = \sqrt{\frac{8RT}{\pi M}}$.From this expression,we can see that the mean veloc

Vedclass · Accepted Answer

$1/2$ times the $H$-mean value

Vedclass · Answer

(B) The mean velocity of gas molecules is given by the formula $v_{av} = \sqrt{\frac{8RT}{\pi M}}$.From this expression,we can see that the mean velocity is inversely proportional to the square root of the molar mass: $v_{av} \propto \frac{1}{\sqrt{M}}$.Given that the mass of a $He$ atom $(M_{He})$ is $4$ times the mass of a hydrogen atom $(M_H)$,we have $M_{He} = 4M_H$.Taking the ratio of the mean velocities:$\frac{v_{He}}{v_H} = \sqrt{\frac{M_H}{M_{He}}} = \sqrt{\frac{M_H}{4M_H}} = \sqrt{\frac{1}{4}} = \frac{1}{2}$.Therefore,$v_{He} = \frac{1}{2} v_H$.

If the mass of a $He$ atom is $4$ times that of a hydrogen atom,then the mean velocity of $He$ is:

Similar Questions

At what temperature will the oxygen molecules have the same root mean square speed as hydrogen molecules at $200 \, K$ (in $, K$)?

The temperature of an ideal gas is increased from $100 \ K$ to $400 \ K$. If '$x$' is the $R$.$M$.$S$. velocity of its molecules at $100 \ K$,what does it become at $400 \ K$?

If the rms speed of the molecules of a diatomic gas at a temperature of $322 \ K$ is $2000 \ m \ s^{-1}$,then the gas is

The temperature at which the r.m.s. velocity of a gas triples its r.m.s. velocity at $0^{\circ} C$ is:

The temperature of an ideal gas is increased from $140 \,K$ to $560 \,K$. If the r.m.s. speed of gas molecules is $v$ at $140 \,K$, then at $560 \,K$, the r.m.s. speed becomes:

Vedclass Test Series

Exam Paper Generator

Online Exam Module