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Thermodynamic Processes

A mixture of ...

Question

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

0.437

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4.4

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3.4

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3.86

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Solution

The correct option is A 0.437
Effective Molecular Wt. of mixture = 2 $\times$ V.D. = 2 $\times$ 38.3 = 76.6
Let wt. of $N O_{2}$ = x
So wt. of $N_{2} O_{4}$ = 100 - x
Hence, $\frac{x}{46} + \frac{100 - x}{92} = \frac{100}{76.6} = \frac{2 x + 100 - x}{92} = \frac{100}{76.6}$
x = 20.10, no. of mole. of $N O_{2}$ = $\frac{20.10}{46} = 0.437$

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