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Q. A gaseous compound of nitrogen and hydrogen contains 12.5% (by mass) of hydrogen. The density of the compound relative to hydrogen is 16. The molecular formula of the compound is :

JEE MainJEE Main 2014Some Basic Concepts of Chemistry

Solution:

N H
Mass % 87.5 12.5
Mol $\frac{87.5}{14}$ $\frac{12.5}{1}$
=6.25 =12.5
1 2


Empirical formula = $NH_{2}$

Since Vapour density = 16

$\therefore $ mol. wt. = 32

$\because$ Molecular formula = n x Emp. formula

$=2\times NH_{2}$

$=N_{2} H_{4}$