At a given temperature the r.m.s. velocity of molecules of t... | PHYSICS - MOLECULAR NATURE OF MATTER | SolveeIt | Solveeit

Today, August 19

Question

At a given temperature the r.m.s. velocity of molecules of the gas is

A

Same

B

Proportional to molecular weight

C

Inversely proportional to molecular weight

D

Inversely proportional to square root of molecular weight

Answer

Inversely proportional to square root of molecular weight

Explanation

Solution

$v_{rms} = \sqrt{\frac{3RT}{M}}$ Ž $v_{rms} \propto \frac{1}{\sqrt{M}}$