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Question

Question: The ratio of root mean square velocity to average velocity of a gas molecule at a particular tempera...

The ratio of root mean square velocity to average velocity of a gas molecule at a particular temperature is –

A

1.086 : 1

B

1 : 1.086

C

2 : 1.086

D

1.086 : 2

Answer

1.086 : 1

Explanation

Solution

urms : uav = 3RTM:8RTπM\sqrt{\frac{3RT}{M}}:\sqrt{\frac{8RT}{\pi M}}

or 3:8π\sqrt{3}:\sqrt{\frac{8}{\pi}} = 1.086:1