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Molecular Speeds - Vrms, Vavg, Vmps

The r.m.s spe...

Question

The r.m.s speed of helium in ms $^{- 1}$ ( atomic mass = 4.0 g mol $^{- 1}$ ) at 400 K is :

15.8

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2028

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158

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1580

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Solution

The correct option is D 1580
$T = 400 k$
Molar mass of Helium is = $0.004 k g$

$V_{r m s} = \sqrt{\frac{3 R T}{M}} (R = 8.314 g a s c o n s t a n t)$

$= \sqrt{\frac{3 \times 8.314 \times 400}{0.004}}$

$= 1580 m s^{- 1}$

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{Molecular mass of O_{2} = 32 g/mol & He = 4 g/mol}

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