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Real Gases

A mixture of ...

Question

A mixture of $N O_{2}$ and $N_{2} O_{4}$ has a vapour density of $38.3$ at $300 K$ . What is the number of moles of $N O_{2}$ in $100 g$ of the mixture?

0.043

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4.4

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3.4

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0.437

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Solution

The correct option is D $0.437$
Vapour density of $N O_{2} + N_{2} O_{4}$ = 38.3
Mass of 1 mole of mixture = vapour density $\times$ 2 = 76.6
Number of moles in the mixture $= \frac{100}{76.6} = 1.305$
Let the mass of $N O_{2}$ be x
$\frac{x}{46} + \frac{100 - x}{92} = 1.305$
$x = 20.1$
Number of moles of $N O_{2}$ present in 100gm of the mixture $= \frac{20.1}{46} = 0.437$

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