Step 1: Calculate Percentage of Carbon
1.0~g$1.0\mathrm{~g}$ of compound gives 1.32~g$1.32\mathrm{~g}$ of CO₂$\mathrm{CO}_2$.\nMoles of CO₂ = (1.32)/(44) = 0.03~mol$\mathrm{CO}_2 = \frac{1.32}{44} = 0.03\mathrm{~mol}$.\nMass of Carbon = 0.03 × 12 = 0.36~g$= 0.03 \times 12 = 0.36\mathrm{~g}$.\nPercentage of C = ((0.36)/(1.0)) × 100 = 36%$\text{Percentage of } C = \left(\frac{0.36}{1.0}\right) \times 100 = 36\%$.
Step 2: Calculate Percentage of Bromine
0.53~g$0.53\mathrm{~g}$ of compound gives 0.75~g$0.75\mathrm{~g}$ of AgBr$\mathrm{AgBr}$ (Molar mass = 108 + 80 = 188~g/mol$108 + 80 = 188\mathrm{~g/mol}$).\nMass of Br = ((80)/(188)) × 0.75 ≈ 0.319~g$\text{Mass of } Br = \left(\frac{80}{188}\right) \times 0.75 \approx 0.319\mathrm{~g}$.\nPercentage of Br = ((0.319)/(0.53)) × 100 = 60.2%$\text{Percentage of } Br = \left(\frac{0.319}{0.53}\right) \times 100 = 60.2\%$.
The compound strictly consists of C, H, and Br (as formula is given as CₓHyBrz$\mathrm{C}_x\mathrm{H}_y\mathrm{Br}_z$).\nPercentage of H = 100 - (%C + %Br)$\text{Percentage of } H = 100 - (\%\text{C} + \%\text{Br})$\nPercentage of H = 100 - (36 + 60.2) = 100 - 96.2 = 3.8%$\text{Percentage of } H = 100 - (36 + 60.2) = 100 - 96.2 = 3.8\%$.\nRounding off to the nearest integer, we get 4%$4\%$.
Pattern Recognition
For basic gravimetric elemental analysis: always map precipitate mass back to elemental mass using strict molar mass ratios, then find mass fractions, ensuring everything sums to 100%.
Chapter Mix
Class 11 Chemistry: Organic Chemistry Some Basic Principles and Techniques