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JEE Main 20188 April
Exam
JEE Main
Year
2018
Date
8 April
Subject
Chemistry
Chapter
Some Basic Concepts of Chemistry

JEE Main 2018 · 8 April · Chemistry · Some Basic Concepts of Chemistry

The ratio of mass percent of CandH of an organic compound ( C _ X H...

The ratio of mass percent of CandHCandH of an organic compound \left({C}_{X}{H}_{Y}{O}_{Z}\right)isis6: 1 .Ifonemoleculeoftheabovecompound(CXHYOZ)If one molecule of the above compound \left({C}_{X}{H}_{Y}{O}_{Z}\right) contains half as much oxygen as required to burn one molecule of compound CXHY{C}_{X}{H}_{Y} completely to CO2andH2O.{CO}_{2} and {H}_{2}O . The empirical formula of the compound CXHYOZ{C}_{X}{H}_{Y}{O}_{Z} is

Options

  1. AC2H4O3{C}_{2}{H}_{4}{O}_{3}
  2. BC3H6O3{C}_{3}{H}_{6}{O}_{3}
  3. CC2H4O{C}_{2}{H}_{4}O
  4. DC3H4O2{C}_{3}{H}_{4}{O}_{2}

Correct answer

A. C2H4O3{C}_{2}{H}_{4}{O}_{3}

Step-by-step solution

Mass of CC: Mass of H=6:1H = 6: 1.
Or, for every atom of C(12u),C ( 12u ) , we have 22atoms of H(1u×2=2u)H ( 1u \times 2 = 2u )
Thus, the ratio of atoms of C:H=x:y=1:2C: H = x: y = 1: 2
Thus, the formula is: CxH2xOz{C}_{x}{H}_{2x}{O}_{z}
Combustion of CxH2x{C}_{x}{H}_{2x}:
CxH2x+(3x/2)O2→xCO2+xH2O{C}_{x}{H}_{2x} + ( 3x / 2 ) {O}_{2} \to {xCO}_{2} + {xH}_{2}O
Hence, the combustion of CxH2x{C}_{x}{H}_{2x} requires (3x/2)( 3x / 2 ) oxygen molecules.

Hence, the original molecule contains (3x/4)( 3x / 4 )molecules =(3x/2)= ( 3x / 2 )atoms.
Or, z=3x/2z = 3x / 2

Empirical Formula=CxH2xO3x/2=C2xH4xO3x=C2H4O3= {C}_{x}{H}_{2x}{O}_{3x / 2} = {C}_{2x}{H}_{4x}{O}_{3x} = {C}_{2}{H}_{4}{O}_{3}

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