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Relating Translational KE and T

Define RMS ...

Question

Define $R M S$ velocity. Calculate the $R M S$ velocity of $C O_{2}$ at $27^{\circ} C$ .

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Solution

$RMS VELOCITY The square root of the average velocity-squared of the molecules in gas. V_{r m s} of C O_{2} = \sqrt{\frac{3 (8.314) (300)}{44 \times 10^{- 3}}} = 412 m / s \Rightarrow V_{r m s} of C O_{2} = 412 m / s$

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