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JEE Main 202228 JuneEvening Shift
Exam
JEE Main
Year
2022
Date
28 June
Shift
Evening Shift
Subject
Chemistry
Chapter
Some Basic Concepts of Chemistry

JEE Main 2022 · 28 June · Evening Shift · Chemistry · Some Basic Concepts of Chemistry

Compound A contains 8 . 7 % Hydrogen, 74 % Carbon and 17 . 3 %...

Compound AA contains 8.78 . 7 % Hydrogen, 7474 % Carbon and 17.317 . 3 % Nitrogen. The molecular formula of the compound is, Given : Atomic masses of C,HC, H and NN are 12,112, 1 and 1414 amu respectively.

The molar mass of the compound AA is 162gmol−1162g{mol}^{- 1}.

Options

  1. AC4H6N2{C}_{4}{H}_{6}{N}_{2}
  2. BC2H3N{C}_{2}{H}_{3}N
  3. CC5H7N{C}_{5}{H}_{7}N
  4. DC10H14N2{C}_{10}{H}_{14}{N}_{2}

Correct answer

D. C10H14N2{C}_{10}{H}_{14}{N}_{2}

Step-by-step solution

CC 7474 % 7412=6.16\dfrac{74}{12} = 6 . 16 6.161.23=5\dfrac{6 . 16}{1 . 23} = 5
NN 17.317 . 3 % 17.314=1.23\dfrac{17 . 3}{14} = 1 . 23 1.231.23=1\dfrac{1 . 23}{1 . 23} = 1
HH 8.78 . 7 % 8.71=8.7\dfrac{8 . 7}{1} = 8 . 7 8.71.23=7\dfrac{8 . 7}{1 . 23} = 7

Emperical formula =C5NH7= {C}_{5}{NH}_{7}

Emperical weight =81= 81

Multiplying factor =16281=2= \dfrac{162}{81} = 2

Molecular formula=(Empiricalformula)n{\left(Empiricalformula\right)}_{n}

Molecular formula=(C5NH7)2{\left({C}_{5}{NH}_{7}\right)}_{2}

Molecular formula =C10N2H14= {C}_{10}{N}_{2}{H}_{14}

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