First slide

Rms speed

Question

The root mean square velocity of a perfect gas is

Easy

A

$u = \sqrt{(3 RTM)}$
B

$u = \sqrt{(\frac{3 RT}{M})}$
C

$u = \sqrt{(RTM)}$
D

$u = \sqrt{(\frac{M}{RT})}$

Solution

$\begin{array}{l} \frac{1}{2} {Mu}^{2} = \frac{3}{2} RT or u^{2} = \frac{3 RT}{M} \\ ∴ u = \sqrt{(\frac{3 RT}{M})} \end{array}$

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