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The rms veloc...

Question

The rms velocity of air at NTP will be if density of air is 1.29 Kg/m $^{3}$

^{4}

m/s

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4.85 x 10

^{2}

m/s

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0.485 m/s

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0.485x10

^{2}

m/s

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Solution

The correct option is B 4.85 x 10 $^{2}$ m/s
Root Mean Square velocity = $\sqrt{\frac{3 R T}{M_{0}}}$
$= \sqrt{\frac{3 P}{ρ}}$ (Since $P M_{0} = ρ R T$ )
$= \sqrt{\frac{3 \times 1.01 \times 10^{5}}{1.29}} \approx 4.85 \times 10^{2} m / s$

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^{3}

5 \times 10^{- 4} m/s

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