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Relationship between Vapor Density & Relative Molecular Mass

The vapour de...

Question

The vapour density of a mixture containing $N O_{2}$ and $N_{2} O_{4}$ is $38.3$ at $27^{0} C$ . Find the moles of $N O_{2}$ in a $10$ mol mixture. ( to the nearest integer)

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Solution

Given vapour density of mixture $=$ $38.3$ .
$∴ M o l a r m a s s o f m i x t u r e = 2 \times V . D = 2 \times 38.3 = 76.6 g {M o l}^{- 1}$
Let a mol of $N O_{2}$ be present in 10 mol mixture
$∴ m o l e o f N_{2} O_{4} i n m i x t u r e = (10 - a)$
Therefore, $a \times 46 + (10 - a) 92 = 10 \times 76.6$
$∴ a$ $=$ $3.348$ $m o l$
Nearest integer is $3$ .

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