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

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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:

(a) NH2

(b) N3H

(c) NH3

(d) N2H4

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Correct answer: (d) N2H4

Explanation:

In an unknown compounds containing N and H given % of H = 12.5%

∴ % of N = 100 – 12.5 = 87.5%

Element: H

Percentage: 12.5%

Atomic ratio: \(\frac{12.5}{1}\) = 12.5

Simple ratio: \(\frac{12.5}{6.25}\) = 2

Element: N

Percentage: 87.5%

Atomic ratio: \(\frac{87.5}{14}\) = 6.25

Simple ratio: \(\frac{6.25}{6.25}\) = 1

2 × vapour density = Mol. wt = mol wt.

= 16 × 2 = 32.

Molecular formula = n × empirical formula

mass n = \(\frac{32}{16}\) = 2

∴ Molecular formula of the compound will be = (N2H2)2

= N2H4

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