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Relating Translational KE and T

Calculate the...

Question

Calculate the average velocity of gas molecules is 400 m/sec. Calculate its r.m.s velocity at the same temperature.

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Solution

$C_{m p} : C_{a v} : C_{r m s} = 1.414 : 1.596 : 1.732$
$C_{a v} = 400 m / s$
$C_{r m s} = 400 \times \frac{1.596}{1.732} = 368.59 m / s$

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