Question

# A gaseous compound of nitrogen and hydrogen contains 12.5 % hydrogen by mass. The molecular formula of the compound if its relative molecular mass is 32, is: [N=14, H=1]

A
NH4
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B
N2H3
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C
N2H6
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D
N2H4
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Solution

## The correct option is D N2H4100 g of the compound contains 12.5 g H and 100−12.5=87.5 g N.The atomic masses of H and N are 1 g/mol and 14 g/mol respectively.The number of moles of H = 12.5 g1 g/mol = 12.5 mol The number of moles of N = 87.5 g14 g/mol = 6.25 mol The mole ratio N:H=6.25:12.5=1:2Hence, the empirical formula of the compound is NH2.Molecular formula =(NH2)× Molecular weight empirical formula weightMolecular formula =(NH2)× 32 g/mol 16 g/molThe molecular formula of the compound is N2H4.

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