Percent Composition
Percent composition tells you what fraction of a compound’s mass comes from each element. It is the chemical equivalent of reading a nutrition label - instead of “20% protein, 50% carbohydrate,” you get “40% carbon, 6.7% hydrogen, 53.3% oxygen.”
Calculating Percent Composition
The formula is simple:
Example: Find the percent composition of water (H₂O).
- Molar mass of H₂O = 2(1.01) + 16.00 = 18.02 g/mol
- % H = [2(1.01) / 18.02] x 100 = 11.2%
- % O = [16.00 / 18.02] x 100 = 88.8%
- Check: 11.2 + 88.8 = 100.0% ✓
Working Backward - From Percent Composition to Empirical Formula
This is the reverse problem, and the MCAT loves it. Given percent composition data, determine the empirical formula:
- Assume 100 g (percentages become grams)
- Convert each to moles (divide by atomic mass)
- Divide by the smallest mole value
- Multiply to clear fractions if needed
Example: A compound is 26.7% C, 2.2% H, and 71.1% O.
- C: 26.7 g / 12.01 g/mol = 2.22 mol
- H: 2.2 g / 1.008 g/mol = 2.18 mol
- O: 71.1 g / 16.00 g/mol = 4.44 mol
Divide by smallest (2.18): C = 1.02, H = 1.00, O = 2.04
Round: C₁H₁O₂ → Empirical formula: CHO₂
Combustion Analysis - The MCAT’s Favorite Method
Combustion analysis is an experimental technique for determining the molecular formula of an unknown organic compound. You burn a sample in excess oxygen and measure the masses of CO₂ and H₂O produced.
The logic is beautifully simple:
- All the carbon in the original compound ends up in CO₂
- All the hydrogen in the original compound ends up in H₂O
- Any remaining mass is oxygen (if the compound contains oxygen)
Combustion Analysis Step-by-Step
Example: 0.255 g of an unknown compound containing only C, H, and O is burned. The combustion produces 0.561 g CO₂ and 0.306 g H₂O. The molecular weight is 180 g/mol. Find the molecular formula.
Step 1: Find moles of C from CO₂.
- Moles of CO₂ = 0.561 g / 44.01 g/mol = 0.01275 mol
- Moles of C = 0.01275 mol (1:1 ratio in CO₂)
- Mass of C = 0.01275 mol x 12.01 g/mol = 0.153 g
Step 2: Find moles of H from H₂O.
- Moles of H₂O = 0.306 g / 18.02 g/mol = 0.01698 mol
- Moles of H = 2 x 0.01698 = 0.03396 mol (2 H per H₂O)
- Mass of H = 0.03396 mol x 1.008 g/mol = 0.0342 g
Step 3: Find mass and moles of O by difference.
- Mass of O = 0.255 - 0.153 - 0.0342 = 0.0678 g
- Moles of O = 0.0678 g / 16.00 g/mol = 0.00424 mol
Step 4: Find the mole ratio.
- Divide by smallest (0.00424): C = 3.01, H = 8.01, O = 1.00
- Empirical formula: C₃H₈O
Step 5: Find n.
- Empirical formula weight = 3(12) + 8(1) + 16 = 60 g/mol
- n = 180 / 60 = 3
- Molecular formula: C₉H₂₄O₃