On complete combustion 1.0 g of an organic compound (X) gave 1.46 g of \(\mathrm{CO}_2\) and 0.567 g of…

On complete combustion 1.0 g of an organic compound (X) gave 1.46 g of \(\mathrm{CO}_2\) and 0.567 g of \(\mathrm{H}_2 \mathrm{O}\). The empirical formula mass of compound \((\mathrm{X})\) is ________ g.
(Given molar mass in \(\mathrm{g} \mathrm{mol}^{-1} \mathrm{C}: 12, \mathrm{H}: 1, \mathrm{O}: 16\))
  1. 30
  2. 45
  3. 60
  4. 15

Solution

Moles of ' C ' \(=\mathrm{n}_{\mathrm{CO}_2}=\frac{1.46}{44}=0.033\)
Moles of ' C ' \(=\mathrm{W}_{\mathrm{C}}=0.033 \times 12\)
Moles of 'H' \(=2 \times \mathrm{n}_{\mathrm{H}_2 \mathrm{O}}=2 \times \frac{0.567}{18}=0.063\)
Mass of ' H ' \(=0.0063\)
Mass of Oxygen \((\mathrm{O})=1-\left(\mathrm{W}_{\mathrm{c}}+\mathrm{W}_{\mathrm{H}}\right)\) \(=1-(0.033 \times 12+0.063 \times 1)=0.541 \mathrm{gm}\)
Moles of ' O ' \(=\frac{0.541}{16}=0.033\)
Empirical formula \(=\mathrm{CH}_2 \mathrm{O}\)
Empirical formula mass \(=30\).

Asked in: JEE Main 2025 (02 Apr Shift 1)

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