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Percent Composition

% = (mₑ / M) × 100

What is the Percent Composition?

Percent composition tells you what percentage by mass each element contributes to a compound. It's used to identify unknown compounds, verify a proposed chemical formula, and work backward to find an empirical formula from experimental data.

As a check on any percent composition calculation: the percentages of every element in the compound should always sum to 100% (allowing for small rounding differences).

What Each Variable Means

mₑ
Mass of elementAtomic mass of the element multiplied by its subscript in the compound's formula. (g/mol)
M
Molar mass of compoundThe sum of all atomic masses in the compound's formula. (g/mol)

When to Use It

  • Finding what percentage of a compound's mass comes from one specific element
  • Verifying a compound's formula against experimental mass data
  • Working backward to determine an empirical formula
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Step-by-Step Examples

Example 1: Percent composition of water

Problem: Find the percent composition of water (H₂O). Atomic masses: H = 1, O = 16.

1
Calculate the molar mass of H₂O

Sum the atomic masses, accounting for the subscript on H.

M = 2(1) + 16 = 18 g/mol
2
Calculate the percent of hydrogen

Divide hydrogen's mass contribution by the total molar mass.

% H = (2/18) × 100 = 11.11%
3
Calculate the percent of oxygen

Same process for oxygen.

% O = (16/18) × 100 = 88.89%
Answer: H: 11.11%, O: 88.89% — checks out, since 11.11% + 88.89% = 100%

Example 2: Percent composition of carbon dioxide

Problem: Find the percent composition of carbon in CO₂. Atomic masses: C = 12, O = 16.

1
Calculate the molar mass of CO₂

Sum the atomic masses, accounting for the subscript on O.

M = 12 + 2(16) = 44 g/mol
2
Calculate the percent of carbon

Divide carbon's mass contribution by the total molar mass.

% C = (12/44) × 100 ≈ 27.27%
Answer: ≈ 27.27% carbon by mass

Interactive Calculator

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Common Mistakes

  • Mistake: Forgetting to multiply an element's atomic mass by its subscript.

    Fix: If a formula has a subscript, like the 2 in H₂O, the element's mass contribution must be multiplied by that subscript — using the atomic mass alone undercounts it.

  • Mistake: Using the wrong molar mass in the denominator.

    Fix: The denominator is always the molar mass of the whole compound, not of any single element within it.

Practice Questions

  1. Find the percent composition of oxygen in CO₂ (M = 44).

    Hint: % O = (32/44) × 100, since there are two oxygen atoms contributing 16 each.

  2. If an element's mass contribution is 8 g/mol in a compound with molar mass 40 g/mol, what's its percent composition?

Frequently Asked Questions

Why should the percentages add up to 100%?

Because every atom in the compound is accounted for by some element — if the percentages don't sum to (approximately) 100%, that's a sign of an arithmetic error or a miscounted subscript.

How is percent composition used to find an empirical formula?

By converting each element's mass percentage to a hypothetical mass (e.g. assuming a 100 g sample), converting to moles, and finding the simplest whole-number ratio between them.