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JEE Main 201411 AprilOnline
Exam
JEE Main
Year
2014
Date
11 April
Mode
Online
Subject
Chemistry
Chapter
Some Basic Concepts of Chemistry

JEE Main 2014 · 11 April · Online · Chemistry · Some Basic Concepts of Chemistry

A gaseous compound of nitrogen and hydrogen contains 12.5 \% (by...

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

Options

  1. ANH2\mathrm{NH}_2
  2. BN3H\mathrm{N}_3 \mathrm{H}
  3. CNH3\mathrm{NH}_3
  4. DN2H4\mathrm{N}_2 \mathrm{H}_4

Correct answer

D. N2H4\mathrm{N}_2 \mathrm{H}_4

Step-by-step solution

In an unknown compounds containing N\mathrm{N} and H\mathrm{H} given \% of H=12.5%\mathrm{H}=12.5 \% \therefore \%  of  \text{\text{ of } } N=100-12.5=87.5 \%
ElementPercentageAtomic ratioSimple ratio
H12.5 \%12.51=\frac{12.5}{1}=12.512.56.25=\frac{12.5}{6.25}=2
N87.587.514=\frac{87.5}{14}=6.256.256.25=\frac{6.25}{6.25}=1
2×2 \times vapour density = Mol. wt =16×2=32=16 \times 2=32. Molecular formula =n×=n \times empirical formula mass n=3216=\frac{32}{16}=2 ∴\therefore Molecular formula of the compound will be =(NH2)2=N2H4=\left(\mathrm{NH}_2\right)_2 =\mathrm{N}_2 \mathrm{H}_4
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