Combustion Analysis Calculator

Determine empirical and molecular formulas from combustion analysis data. Enter masses of CO₂ and H₂O produced to find percent composition and molecular formula.

Common Compounds

g
g
g
For determining molecular formula
g/mol
Empirical Formula
C3H8O
Empirical mass: 60.10 g/mol
Molecular Formula
C3H8O
Same as empirical (or no molar mass given)
% Carbon
60.04%
0.1531 g from 0.561 g CO₂
% Hydrogen
13.43%
0.0342 g from 0.306 g H₂O
% Oxygen
26.53%
Found by difference from sample mass

Percent Composition

C 60.0%
H 13.4%
O 26.5%

Detailed Analysis

ElementMass (g)MolesMole RatioEmpirical #Mass %
C0.15310.012753.0153
60.04%
H0.03420.033978.0348
13.43%
O0.06770.004231.0001
26.53%
Planning notes, formulas, and examples

About the Combustion Analysis Calculator

Combustion analysis is the classic method for determining the empirical formula of organic compounds. A known mass of a compound containing carbon, hydrogen, and possibly oxygen is burned completely in excess oxygen. The carbon is converted entirely to CO₂ and the hydrogen to H₂O. By measuring the masses of CO₂ and H₂O produced, chemists can calculate the masses of C and H in the original sample, and determine oxygen by difference.

This technique, developed by Justus von Liebig in the 1830s, revolutionized organic chemistry by allowing accurate determination of molecular formulas. Modern combustion analyzers (CHN analyzers) automate the process but the underlying chemistry is identical. The method remains a standard analytical technique in organic chemistry and is a staple of introductory chemistry courses.

This calculator takes the sample mass and the masses of CO₂ and H₂O produced, then calculates the moles and mass percentages of C, H, and O. It determines the empirical formula by finding the simplest whole-number mole ratio, and if you provide the molar mass, it will determine the molecular formula as well.

When This Page Helps

Combustion analysis calculations involve multiple steps of unit conversion and mole ratio determination. This calculator automates the entire process from raw combustion data to molecular formula, reducing errors and saving time.

How to Use the Inputs

  1. Enter the mass of the organic compound sample in grams.
  2. Enter the mass of CO₂ produced from the combustion.
  3. Enter the mass of H₂O produced from the combustion.
  4. Optionally check if the compound contains nitrogen and enter N₂ mass.
  5. Optionally enter the experimentally determined molar mass.
  6. Click a preset to explore common examples.
  7. Review the empirical formula, molecular formula, and percent composition.
Formula used
Mass of C = mass CO₂ × (12.011 / 44.010) Mass of H = mass H₂O × (2 × 1.008 / 18.015) Mass of O = sample mass - mass C - mass H Moles: n_C = mass C / 12.011, n_H = mass H / 1.008, n_O = mass O / 15.999 Divide each by the smallest to get the mole ratio → empirical formula Molecular formula = empirical formula × (molar mass / empirical mass)

Example Calculation

Result: C₂H₆O (empirical: CH₃O)

From 0.561 g CO₂: mass C = 0.561 × 12.011/44.010 = 0.1531 g. From 0.306 g H₂O: mass H = 0.306 × 2.016/18.015 = 0.0343 g. Mass O = 0.255 - 0.1531 - 0.0343 = 0.0676 g. Moles: C = 0.01275, H = 0.03400, O = 0.004225. Ratio: 3.02 : 8.05 : 1 → CH₃O. With molar mass 46, molecular formula = C₂H₆O (ethanol).

Tips & Best Practices

  • Always check that mass C + mass H + mass O ≤ sample mass. If the sum exceeds the sample mass, check your input data.
  • If the mole ratios are close to x.5 (like 1.5), multiply all ratios by 2 to get whole numbers.
  • For compounds without oxygen, the mass of O will be zero — the calculator handles this correctly.
  • Modern CHN analyzers typically achieve ±0.3% accuracy for C, H, and N.
  • If your empirical formula seems unreasonable, double-check that masses are in the same units (grams).
  • The method works for any CₓHₓOₓ compound, including carbohydrates, alcohols, acids, and hydrocarbons.

History of Combustion Analysis

Justus von Liebig developed the combustion analysis apparatus in the 1830s, using a series of absorption tubes filled with drying agents and alkali to capture H₂O and CO₂ respectively. This invention was crucial for establishing the field of organic chemistry, allowing chemists to determine molecular formulas for the first time.

Modern CHN Analyzers

Today, automated CHN analyzers (like the PerkinElmer 2400 or Elementar vario MICRO) flash-combust samples at 950-1050°C in pure oxygen, then separate the combustion gases chromatographically. Results are available in minutes with parts-per-million accuracy, processing dozens of samples per hour.

Common Combustion Analysis Problems

Students often encounter problems where they must work backward from combustion data to the molecular formula. The key steps are: (1) convert CO₂ → mass C, and H₂O → mass H, (2) find mass O by difference, (3) convert all masses to moles, (4) divide by the smallest to get the empirical formula, and (5) use the molar mass to find the molecular formula.

Sources & Methodology

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Frequently Asked Questions

  • It's a method to determine the elemental composition of organic compounds by burning them in excess oxygen and measuring the masses of CO₂ and H₂O produced. This keeps planning practical and lowers the chance of preventable errors.