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Le Chatelier's Principle for Del N Equals to 0

Nitrogen N2...

Question

Nitrogen $(N_{2})$ is in equilibrium state at $T = 421 K$ . The value of the most probable speed , $ν_{m p}$ is

400 m / s

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421 m / s

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500 m / s

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600 m / s

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Solution

The correct option is C $500 m / s$
$ν_{m p} = \sqrt{\frac{2 k T}{m}} = \sqrt{\frac{2 R T}{m}} = \sqrt{\frac{2 \times 8.31 \times 421}{28 \times 10^{- 3}}}$
$= 499.89 = 500 m / s$

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