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Question Number 180902 by nadovic last updated on 19/Nov/22

Calculate the root mean square

speed of the molecules of a H e l i u m

gas kept in a gas cylinder at 400 K .

[T a k e R = 8.3 {J m o l}^{- 1} K^{- 1}]

T h e a n s w e r p r o v i d e d i s 1.58 {k m s}^{- 1}

Please I need help with the solution

Answered by Sam09 last updated on 19/Nov/22

M = 4 {g m o l}^{- 1} = 4 \times 10^{- 3} {k g m o l}^{- 1}

r m s = \sqrt{\frac{3 R T}{M}}

= \sqrt{\frac{3 \times 8.3 \times 400}{4 \times 10^{- 3}}} {m s}^{- 1}

= 1578 {m s}^{- 1}

= 1578 \times 10^{- 3} {k m s}^{- 1}

= 1.578 {k m s}^{- 1}

Commented by nadovic last updated on 11/Dec/22

Thanks Sir

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