Question:

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:

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Molar mass = 2 x (density relative to hydrogen) = 32; then find the masses of N and H in one mole.
Updated On: Nov 11, 2026
  • \(\mathrm{NH_2}\)
  • \(\mathrm{N_3H}\)
  • \(\mathrm{NH_3}\)
  • \(\mathrm{N_2H_4}\)
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The Correct Option is D

Solution and Explanation

Relative density 16 means vapour density 16, so molar mass \(=2\times16=32\ \mathrm{g/mol}\).
Mass of H per mole \(=0.125\times32=4\) g, i.e. 4 mol H atoms.
Mass of N \(=32-4=28\) g, i.e. 2 mol N atoms.
Formula \(\mathrm{N_2H_4}\).
Answer: (4) \(\mathrm{N_2H_4}\)
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