The ratio among most probable velocity,mean v | vedclass

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

Question

(D) The formulas for the three types of molecular velocities are: Most probable velocity $(V_{mp})$ = $\sqrt{\frac{2RT}{M}}$ Mean velocity $(V_{avg})$

Vedclass · Accepted Answer

$\sqrt{2} : \sqrt{8/\pi} : \sqrt{3}$

Vedclass · Answer

(D) The formulas for the three types of molecular velocities are: Most probable velocity $(V_{mp})$ = $\sqrt{\frac{2RT}{M}}$ Mean velocity $(V_{avg})$ = $\sqrt{\frac{8RT}{\pi M}}$ Root mean square velocity $(V_{rms})$ = $\sqrt{\frac{3RT}{M}}$ Taking the ratio $V_{mp} : V_{avg} : V_{rms}$: $= \sqrt{\frac{2RT}{M}} : \sqrt{\frac{8RT}{\pi M}} : \sqrt{\frac{3RT}{M}}$ Dividing by $\sqrt{\frac{RT}{M}}$,we get: $= \sqrt{2} : \sqrt{\frac{8}{\pi}} : \sqrt{3}$ Thus,the correct option is $(D)$.

The ratio among most probable velocity,mean velocity and root mean square velocity is given by

Similar Questions

The given figure shows the Maxwell distribution of molecular speeds of a gas at three different temperatures $T_1$, $T_2$ and $T_3$. The correct order of temperature is

The ratio of the root mean square velocity of $H_2$ at $50 \ K$ to that of $O_2$ at $800 \ K$ is .......

The $rms$ velocity of hydrogen is $\sqrt{7}$ times the $rms$ velocity of nitrogen. If the temperature of the gas is $T$,then which of the following is true?

The root mean square velocity of a gas molecule is proportional to:

If the distribution of molecular speeds of a gas is as per the figure shown below,then the ratio of the most probable,the average and the root mean square speeds,respectively,is

Vedclass Test Series

Exam Paper Generator

Online Exam Module