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Relating Translational KE and T

Calculate the...

Question

Calculate the rms speed of the $C O_{2}$ at $27^{o} C$

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Solution

Root mean square velocity= $\sqrt{\frac{3 R T}{M}}$
$T = 27^{o} C ⟶ 300 K$
$R ⟶ 8.314 J / K / m o l$
Molar mass, $M$ for $C O_{2} ⟶ 44$
So, $U_{R M S} = \sqrt{\frac{3 \times 8.314 \times 300}{44}}$
$= 13.04 m / s$

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