Empirical Formula Calculator

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The empirical formula is the simplest whole-number ratio of atoms in a compound. A compound that is 40.0% carbon, 6.71% hydrogen and 53.29% oxygen has the empirical formula CH2O. Add a molar mass of 180.16 g/mol and you get the molecular formula C6H12O6 (glucose).

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g/mol

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Molecular formula
C₆H₁₂O₆
Empirical formula CH₂O; molecular formula C₆H₁₂O₆ (6 × CH₂O).
Mole ratio
C 3.3303 mol → 1 → 1
H 6.6567 mol → 1.999 → 2
O 3.3308 mol → 1 → 1
Formula
Empirical formula CH₂O
Empirical formula mass 30.026 g/mol
Molecular formula C₆H₁₂O₆
Show steps
  1. C: 40 ÷ 12.011 = 3.3303 mol; ÷ 3.3303 = 1.
  2. H: 6.71 ÷ 1.008 = 6.6567 mol; ÷ 3.3303 = 1.999.
  3. O: 53.29 ÷ 15.999 = 3.3308 mol; ÷ 3.3303 = 1.
  4. Empirical formula: CH₂O (mass 30.026 g/mol).
  5. Molecular formula: 180.16 ÷ 30.026 = 6 ≈ 6, so multiply every subscript by 6: C₆H₁₂O₆.

How to use the calculator

  1. Type each element symbol, such as C, H, O or Cl, with its percent by mass or its mass in grams.
  2. Optional: enter the molar mass of the compound to also get the molecular formula.
  3. Press Calculate. Show steps lists the moles and ratios for each element.

Percentages work like grams: assume a 100 g sample, so 40.0% carbon means 40.0 g of carbon.

Steps to find an empirical formula

  1. Change each percent to grams (assume 100 g).
  2. Divide each mass by the element’s molar mass to get moles.
  3. Divide every mole value by the smallest one.
  4. If a ratio ends in about .5, .33 or .25, multiply all ratios by 2, 3 or 4 to make whole numbers.
  5. Use the whole numbers as subscripts.

Empirical vs molecular formula

Compound Molecular formula Empirical formula
Glucose C6H12O6 CH2O
Hydrogen peroxide H2O2 HO
Benzene C6H6 CH
Water H2O H2O

To go from empirical to molecular, divide the molar mass by the empirical formula mass and multiply every subscript by that whole number.

A ratio that needs a multiplier

Iron oxide that is 69.94% Fe and 30.06% O: Fe 69.94 ÷ 55.845 = 1.252 mol, O 30.06 ÷ 15.999 = 1.879 mol. Dividing by 1.252 gives Fe 1 : O 1.50. Multiply by 2 to get Fe2O3.

Empirical formula practice questions

Test yourself with 6 multiple-choice questions. Choose an answer and press Submit to see if you are right and why. Your score appears at the end.

Question 1 of 6
1. What is the empirical formula of C6H12O6?

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2. The mole ratio of N to O in a compound is 1 : 2.5. What is the empirical formula?

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3. When you are given percent composition, what sample mass is easiest to assume?

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4. An empirical formula CH has a mass of 13.02 g/mol. The molar mass is 78.11 g/mol. What is the molecular formula?

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5. A compound has 2.0 mol C and 6.0 mol H. What is its empirical formula?

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6. Which pair has the same empirical formula?

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Frequently asked questions

How do you find the empirical formula from percentages?

Treat the percents as grams in a 100 g sample, change each to moles, divide by the smallest number of moles, and round to whole numbers (multiplying first if a ratio ends in .5, .33 or .25).

What is the difference between an empirical and a molecular formula?

The empirical formula is the simplest ratio of atoms. The molecular formula is the actual number of each atom in a molecule, which is a whole-number multiple of the empirical formula.

How do you get the molecular formula?

Divide the compound's molar mass by the empirical formula mass. Multiply each subscript in the empirical formula by that whole number.

What if my ratios are not close to whole numbers?

Ratios like 1.5, 1.33 or 1.25 mean you should multiply all of them by 2, 3 or 4. Ratios such as 1.1 or 1.9 usually come from rounding the molar masses or percentages too early.

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