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  3. Chemistry
  4. The average velocity of gas molecules is 400 ms-1, find the rms velocity of the gas.

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Q. The average velocity of gas molecules is $400 \,ms^{-1}$, find the rms velocity of the gas.

IIT JEEIIT JEE 2003States of Matter

Solution:

$\frac{u_{av}}{u_{rms}}=\sqrt{\frac{8RT}{\pi\, M}} : \sqrt{\frac{3RT}{M}}=\frac{8}{3\pi}$
$\Rightarrow u_{rms}=\sqrt{\frac{3\pi}{8}} $
$u_{av} \sqrt{\frac{3\times3.14}{8}}\times400=434\,ms^{-1}$