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Relating Translational KE and T

Show that R.M...

Question

Show that R.M.S. velocity of a gas molecules is directly proportional to square root of absolute temperature.

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Solution

R.M.S. velocity of a gas molecule $V_{r m s} = \sqrt{\frac{3 R T}{M}}$
$⟹ V_{r m s} = \sqrt{T}$

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Relating Translational KE and T

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