Q12 / 90 · KVPY 2015 (SB/SX) · Chemistry

An organic compound having molecular formula $\mathrm{C}_{2} \mathrm{H}_{6} \mathrm{O}$ under goes oxidation with $\mathrm{K}_{2} \mathrm{Cr}_{2} \mathrm{O}_{7} / \mathrm{H}_{2} \mathrm{SO}_{4}$ to produce $\mathrm{X}$ which contains $40 \%$ carbon, $6.7 \%$ hydrogen and $53.3 \%$ oxygen. The molecular formula of the compound $\mathrm{X}$ is

  • A
    $\mathrm{CH}_{2} \mathrm{O}$
  • Correct answer
    B
    $\mathrm{C}_{2} \mathrm{H}_{4} \mathrm{O}_{2}$
  • C
    $\mathrm{C}_{2} \mathrm{H}_{4} \mathrm{O}$
  • D
    $\mathrm{C}_{2} \mathrm{H}_{6} \mathrm{O}_{2}$

Solution

$\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}-\mathrm{K}_{2} \mathrm{C}_{2} \mathrm{O}_{7} / \mathrm{H}_{2} \mathrm{SO}_{4} \rightarrow \mathrm{CH}_{3} \mathrm{COOH}$ $\% \mathrm{C}=\frac{24}{60} \times 100=40 \%, \% \mathrm{H}=\frac{4}{60} \times 100=6.7 \%, \% \mathrm{O}=\frac{32}{60} \times 100=53.3 \%$

Hence, the correct answer is option: 'B'.

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