JEE Main · 2022 · Shift-IIeasyMOLE-173

120\,g of an organic compound (only C and H) gives 330\,g CO2 and 270\,g H2O on combustion. % of C and H respectively…

Some Basic Concepts (Mole Concept) · Class 11 · JEE Main Previous Year Question

Question

120g120\,\text{g} of an organic compound (only C and H) gives 330g330\,\text{g} \ceCO2\ce{CO2} and 270g270\,\text{g} \ceH2O\ce{H2O} on combustion. % of C and H respectively are:

Options
  1. a

    2525 and 7575

  2. b

    4040 and 6060

  3. c

    6060 and 4040

  4. d

    7575 and 2525

Correct Answerd

7575 and 2525

Detailed Solution

🧠 Burn it, then split the products The compound has only C and H. So every atom of carbon ends up in \ceCO2\ce{CO2} and every atom of hydrogen ends up in \ceH2O\ce{H2O}. Find the mass of C and H from the products, then take their share of 120g120\,\text{g}.

🗺️ Two clean steps Carbon from \ceCO2\ce{CO2}: \ceCO2\ce{CO2} is 44g/mol44\,\text{g/mol}, of which 12g12\,\text{g} is carbon. So Mass C=1244×330=90g.\text{Mass C} = \frac{12}{44} \times 330 = 90\,\text{g}. Hydrogen from \ceH2O\ce{H2O}: \ceH2O\ce{H2O} is 18g/mol18\,\text{g/mol}, of which 2g2\,\text{g} is hydrogen. So Mass H=218×270=30g.\text{Mass H} = \frac{2}{18} \times 270 = 30\,\text{g}.

Now divide by the sample mass: %C=90120×100=75%,%H=30120×100=25%.\%\,\text{C} = \frac{90}{120} \times 100 = 75\%, \quad \%\,\text{H} = \frac{30}{120} \times 100 = 25\%.

Fast check 9090 is three-quarters of 120120, so C is 75%75\% straight away. Then H must be 25%25\% since there is nothing else.

Answer: (d)\boxed{\text{Answer: (d)}}

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120\,g of an organic compound (only C and H) gives 330\,g CO2 and 270\,g H2O on combustion. % of C… (JEE Main 2022) | Canvas Classes