Related Formula
Percentage of Hydrogen in organic analysis:
%H = (2)/(18) × Mass of H₂OMass of Compound × 100$$\%\text{H} = \frac{2}{18} \times \frac{\text{Mass of } H_2O}{\text{Mass of Compound}} \times 100$$
Percentage of Carbon:
%C = (12)/(44) × Mass of CO₂Mass of Compound × 100$$\%\text{C} = \frac{12}{44} \times \frac{\text{Mass of } CO_2}{\text{Mass of Compound}} \times 100$$
Percentage of Oxygen:
%O = 100 - (%C + %H)$$\%\text{O} = 100 - (\%\text{C} + \%\text{H})$$
Execution
Step 1: Compute the mass percent of Hydrogen:
%H = (2)/(18) × (0.127)/(0.210) × 100 = (0.254)/(3.78) ≈ 6.72%$$\%\text{H} = \frac{2}{18} \times \frac{0.127}{0.210} \times 100 = \frac{0.254}{3.78} \approx 6.72\%$$
Step 2: Compute the mass percent of Carbon:
%C = (12)/(44) × (0.307)/(0.210) × 100 = (3.684)/(9.24) ≈ 39.87%$$\%\text{C} = \frac{12}{44} \times \frac{0.307}{0.210} \times 100 = \frac{3.684}{9.24} \approx 39.87\%$$
Step 3: Deduce the remaining mass percent of Oxygen:
%O = 100 - (39.87 + 6.72) = 100 - 46.59 = 53.41%$$\%\text{O} = 100 - (39.87 + 6.72) = 100 - 46.59 = 53.41\%$$
Thus, the values of hydrogen and oxygen percentage are 6.72%$6.72\%$ and 53.41%$53.41\%$, matches with Option (2).
Pattern Recognition
Always focus on the order requested by the question stem. The query specifies 'hydrogen and oxygen respectively'. Option 2 and Option 4 both show these numbers but reversed—verifying the targeted sequence protects your score line.
Chapter Mix
Class 11 Chemistry: Organic Chemistry - Some Basic Principles and Techniques