MCQ
Compound $A$ contains $8.7\, \%$ Hydrogen, $74\, \%$ Carbon and $17.3\,\%$ Nitrogen. The molecular formula of the compound is ....

Given : Atomic masses of $C , H$ and $N$ are $12,1$ and $14\, amu$ respectively.

The molar mass of the compound $A$ is $162\, g\, mol ^{-1}$.

  • A
    $C _{4} H _{6} N _{2}$
  • B
    $C _{2} H _{3} N$
  • C
    $C _{5} H _{7} N$
  • $C _{10} H _{14} N _{2}$

Answer

Correct option: D.
$C _{10} H _{14} N _{2}$
d
$C$ $74 \,\%$ $\frac{74}{12}=6.16$ $\frac{6.16}{1.23}=5$
$N$ $17.3\, \%$ $\frac{17.3}{14}=1.23$ $\frac{1.23}{1.23}=1$
$H$ $8.7 \,\%$ $\frac{8.7}{1}=8.7$ $\frac{8.7}{1.23}=7$

Emperical formula $= C _{5} NH _{7}$

Emperical weight $=81$

Multiplying factor $=\frac{162}{81}=2$

Molecular formula $= C _{10} N _{2} H _{14}$

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