NVAEasyJEE 2023Stoichiometry & Calculations

JEE Chemistry 2023 Question with Solution

On complete combustion, 0.492g0.492 \, \text{g} of an organic compound gave 0.792g0.792 \, \text{g} of CO2CO_2. The % of carbon in the organic compound is _____ (Nearest integer).

Given: Weight of carbon in 0.792CO2\text{Weight of carbon in } 0.792 \, \text{g } CO_2

Answer

Correct answer:44

Step-by-step solution

Standard Method

Given: Mass of organic compound = 0.492g0.492 \, \text{g}, mass of CO2CO_2 formed = 0.792g0.792 \, \text{g}.

Find: Percentage of carbon in the organic compound.

First, calculate the mass of carbon present in 0.792g0.792 \, \text{g} of CO2CO_2:

Mass of C=1244×0.792=0.216g\text{Mass of C} = \frac{12}{44} \times 0.792 = 0.216 \, \text{g}

Now calculate the percentage of carbon in the compound:

%of C=0.2160.492×100=43.90%\% \, \text{of C} = \frac{0.216}{0.492} \times 100 = 43.90\%

Nearest integer:

4444

Therefore, the percentage of carbon in the organic compound is 4444.

Mass Fraction of Carbon in Carbon Dioxide

Given: On combustion, all carbon in the compound is converted into CO2CO_2.

Find: Carbon percentage in the original sample.

In CO2CO_2, the mass fraction of carbon is:

1244\frac{12}{44}

So the carbon obtained from 0.792g0.792 \, \text{g} of CO2CO_2 is:

1244×0.792=0.216g\frac{12}{44} \times 0.792 = 0.216 \, \text{g}

This 0.216g0.216 \, \text{g} carbon came from the original 0.492g0.492 \, \text{g} organic compound. Hence,

%C=0.2160.492×100=43.90%\% \, \text{C} = \frac{0.216}{0.492} \times 100 = 43.90\%

So the nearest integer value is 4444.

Common mistakes

  • Using 4412\frac{44}{12} instead of 1244\frac{12}{44} for carbon in CO2CO_2 is wrong because 4444 is the molar mass of CO2CO_2 while 1212 is the mass contributed by carbon. Use the carbon mass fraction 1244\frac{12}{44}.

  • Dividing by the mass of CO2CO_2 instead of the mass of the original compound is wrong because the percentage asked is for carbon in the organic compound, not in the combustion product. Divide by 0.492g0.492 \, \text{g}.

  • Reporting 43.9043.90 directly without applying the nearest-integer instruction is incomplete. After calculating the percentage, round it to the nearest integer to get 4444.

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