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BITSAT 2019
Exam
BITSAT
Year
2019
Subject
Chemistry
Chapter
Some Basic Concepts of Chemistry

BITSAT 2019 · Chemistry · Some Basic Concepts of Chemistry

In a compound C, H and N are present in 9: 1: 3. 5 by weight. If...

In a compound C,HC, H and NN are present in 9:1:3.59: 1: 3. 5 by weight. If molecular weight of compound is 108108, the molecular formula of compound is

Options

  1. AC2H6N2{C}_{2}{H}_{6}{N}_{2}
  2. BC3H4N{C}_{3}{H}_{4}N
  3. CC6H8N2{C}_{6}{H}_{8}{N}_{2}
  4. DC9H12N3{C}_{9}{H}_{12}{N}_{3}

Correct answer

C. C6H8N2{C}_{6}{H}_{8}{N}_{2}

Step-by-step solution

Element Ratio (by weight) Atomic weight Mol
Ratio
Simplest Mol Ratio
CC 99 1212 912=0.75\dfrac{9}{12} = 0 . 75 0.750.25=3\dfrac{0 . 75}{0 . 25} = 3
HH 11 11 11=1.00\dfrac{1}{1} = 1 . 00 1.000.25=4\dfrac{1 . 00}{0 . 25} = 4
NN 3.53 . 5 1414 3.514=0.25\dfrac{3 . 5}{14} = 0 . 25 0.250.25=1\dfrac{0 . 25}{0 . 25} = 1

∴∴ Empirical formula =C3H4N= {C}_{3}{H}_{4}N

The empirical formula mass =3×12+4×1+14=54g= 3 \times 12 + 4 \times 1 + 14 = 54g

Given, molecular mass =108g= 108g

Thus, n=10854=2n = \dfrac{108}{54} = 2

Hence, molecular formula = (Empirical formula) ×2\times 2

\left({C}_{3}{H}_{4}N\right) \times 2 = {C}_{6}{H}_{8}{N}_{2}

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