Class 12 Chemistry Gases & Solutions States Of Matter

Root mean square velocity of a gas molecule is proprotional to

(a)

$m_{1/2}$

(b)

$m_{0}$

(c)

$m_{−1/2}$

(d)

$m$

Correct answer: (c)

Solution: Root mean square speed is given by the expression

$U_{rms}=M3RT [∵M=mN]$

$∴U_{rms}∝m1 $

$⇒u_{rms}∝(m)_{−1/2}$

$U_{rms}=M3RT [∵M=mN]$

$∴U_{rms}∝m1 $

$⇒u_{rms}∝(m)_{−1/2}$

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