Chemistry Tool

Empirical Formula Calculator - Molecular Formula Calculator

Free empirical formula calculator & molecular formula calculator. Calculate empirical formulas from percent composition or mass data with step-by-step solutions. Our calculator uses stoichiometry principles to determine the simplest whole-number ratio of atoms in compounds and convert to molecular formulas.

Last updated: October 28, 2025

Step-by-step mole calculations
Support for mass and percent input
Automatic whole-number ratio conversion

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Empirical Formula Calculator
Calculate empirical formulas from elemental composition

Empirical Formula Result

Empirical Formula:

CH2O

Molar Amounts:

C: 3.3306 mol, H: 6.6468 mol, O: 3.3312 mol

Simplest Ratio:

C: 1.00, H: 2.00, O: 1.00

Calculation Steps:

1. Convert to moles 2. Divide by smallest 3. Round to whole numbers

Interpretation:

Empirical formula CH2O represents the simplest ratio of elements

Key Concepts:

  • • Empirical formula = simplest whole-number ratio of atoms
  • • Convert mass to moles using atomic mass
  • • Divide all mole values by the smallest
  • • Multiply to get whole numbers if needed
  • • Molecular formula = empirical formula × n

Empirical Formula Calculator Types & Methods

Empirical Formula Calculator
Calculate simplest whole-number ratio of atoms

Input types

Mass or Percent

Works with mass in grams or percent composition data

Molecular Formula Calculator
Find actual molecular formula from empirical formula

Formula

(Empirical)ₙ

Multiply empirical formula by whole number n using molar mass

Percent Composition Calculator
Calculate empirical formula from percent composition

Assume

100g total

Percentages convert directly to grams when assuming 100g sample

Mole Ratio Calculator
Calculate mole ratios for empirical formula determination

Process

Moles ÷ smallest

Divide all mole values by smallest to get simplest ratio

Stoichiometry Calculator
Use stoichiometric calculations for formula determination

Key formula

moles = mass / atomic mass

Convert between mass and moles using atomic masses

Chemical Formula Calculator
Comprehensive chemical formula analysis and calculations

Analysis

Complete solution

Full step-by-step analysis of chemical formula calculations

Quick Example Result

For compound with 40.0% C, 6.7% H, 53.3% O:

Empirical Formula

CH₂O

How Our Empirical Formula Calculator Works

Our empirical formula calculator uses stoichiometric principles to determine the simplest whole-number ratio of atoms in a compound. The calculation converts mass or percent composition to moles, then finds the simplest integer ratio by dividing by the smallest value and multiplying to eliminate decimals.

Empirical Formula Calculation Steps

Step 1: Convert mass (or percent as grams) to moles: moles = mass ÷ atomic mass
Step 2: Divide all mole values by the smallest mole value
Step 3: If ratios are not whole numbers, multiply by 2, 3, or 4
Step 4: Write formula using whole-number subscripts
Step 5: For molecular formula: multiply by n = (molar mass) ÷ (empirical mass)

This systematic approach ensures accurate determination of the simplest formula representing the compound's composition. The empirical formula may equal the molecular formula if already in simplest form.

⚗️ Empirical Formula Process Diagram

Shows conversion from mass to moles to simplest ratio

Mathematical Foundation

Empirical formula determination relies on the mole concept - the fundamental unit in chemistry that relates mass to number of particles. Since atoms combine in whole-number ratios, we must convert mass (which varies by element) to moles (which count atoms). The atomic mass serves as the conversion factor: 1 mole of an element has a mass in grams equal to its atomic mass.

  • Empirical formula shows simplest ratio, molecular formula shows actual atoms
  • Mole = 6.022 × 10²³ particles (Avogadro's number)
  • Atomic mass units: C = 12.01, H = 1.008, O = 16.00, N = 14.01
  • Percent composition assumes 100g sample for easy conversion
  • Common multipliers: 0.5 → ×2, 0.33 or 0.67 → ×3, 0.25 or 0.75 → ×4
  • Molecular formula = (empirical formula)ₙ where n is whole number

Sources & References

  • Chemistry: The Central Science - Brown, LeMay, Bursten (14th Edition)Standard reference for stoichiometry and empirical formulas
  • General Chemistry: Principles and Modern Applications - Petrucci, Herring, Madura, BissonnetteComprehensive coverage of chemical formulas and composition
  • American Chemical Society - Chemical Education ResourcesEducational materials for chemistry calculations and formulas

Need help with other chemistry tools? Check out our mole calculator and percent yield calculator.

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Empirical Formula Calculator Examples

Empirical Formula Calculator Example
Calculate empirical formula from percent composition: 40.0% C, 6.7% H, 53.3% O

Given Data:

  • Carbon: 40.0%
  • Hydrogen: 6.7%
  • Oxygen: 53.3%
  • Assume: 100g sample

Calculation Steps:

  1. Convert % to g: C=40.0g, H=6.7g, O=53.3g
  2. To moles: C=3.33mol, H=6.65mol, O=3.33mol
  3. Divide by 3.33: C=1.00, H=2.00, O=1.00
  4. Write formula: CH₂O

Result: Empirical Formula = CH₂O

This is the simplest whole-number ratio. Molecular formula could be CH₂O, C₂H₄O₂, C₃H₆O₃, etc.

Water Example

11.2% H, 88.8% O

Empirical: H₂O (also molecular)

Glucose Example

40% C, 6.7% H, 53.3% O

Empirical: CH₂O, Molecular: C₆H₁₂O₆

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