JEE Main · 2025 · Shift-IhardMOLE-211

On complete combustion 1.0 g of an organic compound (X) gave 1.46 g of CO2 and 0.567 g of H2O. The empirical formula…

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

Question

On complete combustion 1.0 g of an organic compound (X) gave 1.46 g of \ceCO2\ce{CO2} and 0.567 g of \ceH2O\ce{H2O}. The empirical formula mass of compound (X) is ________ g. (Given molar mass: C: 12, H: 1, O: 16)

Options
  1. a

    30

  2. b

    45

  3. c

    60

  4. d

    15

Correct Answera

30

Detailed Solution

🧠 Find C, H, then oxygen by leftover. Then ratio. The compound has C, H, and possibly O. Find C from \ceCO2\ce{CO2} and H from \ceH2O\ce{H2O}. Whatever weight is unaccounted for must be oxygen. Then convert all three to moles and find the simplest ratio.

🗺️ Step by step Moles of C =1.46/440.0332mol= 1.46/44 \approx 0.0332\,\text{mol} → mass C =0.398g= 0.398\,\text{g}. Moles of H atoms =2×0.567/180.063mol= 2 \times 0.567/18 \approx 0.063\,\text{mol} → mass H =0.063g= 0.063\,\text{g}. Mass of O =1.0(0.398+0.063)=0.539g= 1.0 - (0.398 + 0.063) = 0.539\,\text{g}. Moles of O =0.539/160.0337mol= 0.539/16 \approx 0.0337\,\text{mol}.

Mole ratio: C (0.03320.0332) : H (0.0630.063) : O (0.03370.0337) 1:2:1\approx 1 : 2 : 1.

So empirical formula is \ceCH2O\ce{CH2O}, with mass: 12+2+16=30g/mol.12 + 2 + 16 = 30\,\text{g/mol}.

⚠️ Common mistake Forgetting to subtract C and H weights to get oxygen is the classic slip. The compound has O even though no oxygen weight was given directly.

Answer: (a)\boxed{\text{Answer: (a)}}

Practice this question with progress tracking

Want timed practice with adaptive difficulty? Solve this question (and hundreds more from Some Basic Concepts (Mole Concept)) inside The Crucible, our adaptive practice platform.

On complete combustion 1.0 g of an organic compound (X) gave 1.46 g of CO2 and 0.567 g of H2O. The… (JEE Main 2025) | Canvas Classes