Question

the ratio of most probable velocity to the average velocity is

pie /2

2/pie

under root pie / 2

2 /under root pie.....

Answer 1

Mark brainliest...............

Answer 2

Answer: The ratio of most probable velocity to the average velocity is $\frac{\sqrt{\pi}}{2}$

Explanation:

The formula for most probable velocity is given as:

$v_{mp}=\sqrt{\frac{2RT}{M}}$          ........(1)

The formula for average velocity is given as:

$v_{av}=\sqrt{\frac{8RT}{\pi M}}$       .........(2)

Taking the ratio of 1 and 2, we get:

$\frac{V_{mp}}{V_{av}}=(\frac{\sqrt{\frac{2RT}{M}}}{\sqrt{\frac{8RT}{\pi M}}})\\\\\frac{V_{mp}}{V_{av}}=\sqrt{\frac{2RT}{M}\times \frac{\pi M}{8RT}}\\\\\frac{V_{mp}}{V_{av}}=\frac{\sqrt{\pi}}{2}$

Hence, the ratio of most probable velocity to the average velocity is $\frac{\sqrt{\pi}}{2}$