NVAEasyJEE 2025Stoichiometry & Calculations

JEE Chemistry 2025 Question with Solution

0.5g0.5 \, \text{g} of an organic compound on combustion gave 1.46g1.46 \, \text{g} of an organic compound on combustion gave 1.46g1.46 \, \text{g} of CO2CO_2 and 0.9g0.9 \, \text{g} of H2OH_2O. The percentage of carbon in the compound is _____ (Nearest integer) \text{(Given : Molar mass (in g mol^{-1}) C : 12, H : 1, O : 16)}

Answer

Correct answer:80

Step-by-step solution

Standard Method

Given: Mass of organic compound = 0.5g0.5 \, \text{g}, mass of CO2CO_2 obtained = 1.46g1.46 \, \text{g}.

Find: Percentage of carbon in the compound.

During combustion, all the carbon present in the compound is converted into CO2CO_2.

Using the molar mass ratio:

Mass of C in compound=1.4644×12\text{Mass of C in compound} = \frac{1.46}{44} \times 12

Now calculate the percentage of carbon:

% of C=1.4644×120.5×100\%\text{ of C} = \frac{1.46}{44} \times \frac{12}{0.5} \times 100 =79.63= 79.63

Rounding to the nearest integer, the percentage of carbon is 80%80\%. Therefore, the required answer is 80.

Mole-Based Explanation

Given: Mass of compound = 0.5g0.5 \, \text{g}, mass of CO2CO_2 = 1.46g1.46 \, \text{g}.

Find: Percentage of carbon in the compound.

Step 1: Calculate moles of CO2CO_2 produced.

Moles of CO2=1.46g44g/mol0.0332mol\text{Moles of } CO_2 = \frac{1.46 \, \text{g}}{44 \, \text{g/mol}} \approx 0.0332 \, \text{mol}

Step 2: Each mole of CO2CO_2 contains one mole of carbon, so moles of carbon = 0.0332mol0.0332 \, \text{mol}.

Mass of carbon:

Mass of carbon=0.0332×120.3984g\text{Mass of carbon} = 0.0332 \times 12 \approx 0.3984 \, \text{g}

Step 3: Percentage of carbon in the compound:

Percentage of carbon=(0.39840.5)×10079.68%\text{Percentage of carbon} = \left(\frac{0.3984}{0.5}\right) \times 100 \approx 79.68\%

Rounding to the nearest integer gives 80%80\%.

Therefore, the required answer is 80.

Common mistakes

  • Using the mass of H2OH_2O to calculate carbon is incorrect because carbon from the compound appears in CO2CO_2, not in H2OH_2O. Use the mass of CO2CO_2 to find the mass of carbon.

  • Taking the full mass of CO2CO_2 as the mass of carbon is wrong because CO2CO_2 also contains oxygen. Multiply by the mass ratio 1244\frac{12}{44} to extract only the carbon mass.

  • Forgetting to divide by the original sample mass before multiplying by 100100 gives only the carbon mass, not its percentage. After finding carbon mass, use (mass of carbon0.5)×100\left(\frac{\text{mass of carbon}}{0.5}\right) \times 100.

Practice more Stoichiometry & Calculations questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step — free to start.

Related questions