Audited 05 Aug 2026·Last updated 28 Oct 2026·3 citations·Tier 2·0 uses

Combustion Reaction Calculator

Balance the complete combustion of any hydrocarbon CₓHᵧ and get the moles of oxygen needed and of CO₂ and water produced for the fuel you burn.

Combustion Reaction Calculator

mol
Stoichiometric oxygen required
10
Moles of O₂ needed to burn the fuel completely, with none left over.
Carbon dioxide produced
6mol
Water produced
8mol

Background.

Burning a hydrocarbon is bookkeeping with atoms. Every carbon atom in the fuel leaves as a molecule of carbon dioxide, every pair of hydrogen atoms leaves as a molecule of water, and the oxygen has to supply exactly the oxygen atoms those products contain. Nothing more is needed to balance the equation, so the whole calculation comes down to two short rules.

For a fuel written CₓHᵧ, the x carbon atoms become x CO₂, which hold 2x oxygen atoms, or x molecules of O₂. The y hydrogen atoms become y/2 H₂O, holding y/2 oxygen atoms, or y/4 molecules of O₂. One mole of fuel therefore needs x + y/4 moles of oxygen: 5 for propane, C₃H₈; 2 for methane, CH₄; 12.5 for octane, C₈H₁₈. Multiply by the moles of fuel and you have the oxygen demand and the amount of each product.

That figure is the stoichiometric amount, just enough oxygen for complete combustion with none left over. Real flames seldom work that way. Furnaces and engines draw their oxygen from air, which is about 21% oxygen by volume, so every mole of O₂ arrives with roughly 3.76 moles of nitrogen that must be heated and pushed through. Burners usually run with some excess air to make sure the fuel burns out, while an oxygen-starved flame makes carbon monoxide and soot instead of CO₂.

None of that is modelled here. The page treats pure hydrocarbons burned completely to CO₂ and water. Fuels that contain oxygen, sulfur or nitrogen, such as ethanol, need a different balance, and the heat released is not calculated. Nor does it check that the formula you type is a real molecule; C₃H₉ would be balanced without complaint.

What is combustion reaction calculator?

A combustion reaction, as treated here, is the complete oxidation of a hydrocarbon by oxygen to carbon dioxide and water: CₓHᵧ + (x + y/4) O₂ → x CO₂ + (y/2) H₂O. The stoichiometric oxygen is the exact amount that balanced equation calls for, with neither excess nor shortfall. All amounts on this page are in moles, which convert to grams through molar masses and to gas volumes through the ideal gas law.

How to use this calculator.

  1. Read your fuel's molecular formula and enter the subscript on C as the carbon atoms and the subscript on H as the hydrogen atoms. Propane, C₃H₈, is 3 and 8; methane, CH₄, is 1 and 4.
  2. Average formulas used for fuel blends often have decimal subscripts, and those can be entered as they are; the balance works the same way.
  3. Enter the amount of fuel in moles. To convert from grams, divide by the molar mass: 88.2 g of propane, at about 44.1 g/mol, is 2 mol.
  4. Read the oxygen required and the moles of CO₂ and water formed. If the oxygen will come from air, divide the oxygen figure by 0.21 for the approximate moles of air.

The formula.

CₓHᵧ + (x+y/4)O₂ → xCO₂ + (y/2)H₂O

The balanced equation is CₓHᵧ + (x + y/4) O₂ → x CO₂ + (y/2) H₂O, and each output is a coefficient multiplied by the moles of fuel, n. Carbon balance gives CO₂ = x·n. Hydrogen balance gives H₂O = (y/2)·n, because each water molecule carries two hydrogen atoms. Oxygen balance then fixes the oxygen: the products contain 2x + y/2 oxygen atoms per molecule of fuel, and halving that for diatomic O₂ gives x + y/4, so O₂ = (x + y/4)·n. Per atom, hydrogen adds to the oxygen demand only a quarter as fast as carbon does, which is why methane needs 2 mol of O₂ per mole while each extra CH₂ unit in a longer alkane adds 1.5. Mass is conserved automatically: grams of fuel plus oxygen equal grams of CO₂ plus water.

A worked example.

Example

Burn 2 moles of propane, C₃H₈, so x = 3, y = 8 and n = 2. Oxygen per mole of fuel is 3 + 8/4 = 3 + 2 = 5, and for 2 mol that is 5 × 2 = 10 mol of O₂. Carbon dioxide is 3 × 2 = 6 mol, and water is (8/2) × 2 = 8 mol. Written out, the doubled equation reads 2 C₃H₈ + 10 O₂ → 6 CO₂ + 8 H₂O. In grams, the 2 mol of propane is about 88.2 g and the 10 mol of O₂ about 320 g, balanced on the other side by about 264 g of CO₂ and 144 g of water, 408 g on each side. Drawn from air instead of pure oxygen, those 10 mol of O₂ come with about 37.6 mol of nitrogen, some 47.6 mol of gas in all.

carbon Atoms3
hydrogen Atoms8
fuel Moles2

Frequently asked questions.

How much air does the fuel need rather than pure oxygen?
Air is about 21% oxygen, so multiply the oxygen figure by about 4.76 for the moles of air. By mass, burning propane completely takes about 15.6 g of air for every gram of fuel, its stoichiometric air-fuel ratio, before any excess air is added.
What happens if the flame does not get enough oxygen?
Combustion becomes incomplete. Some carbon leaves as carbon monoxide or as soot instead of CO₂, less heat is released, and the exhaust becomes dangerous to breathe. That is why fuel-burning appliances need ventilation. This page assumes complete combustion, so it does not predict how much CO forms.
Can I use this for ethanol or other fuels that contain oxygen?
Not directly. Ethanol, C₂H₅OH, already carries one oxygen atom, so it needs 3 mol of O₂ per mole: C₂H₅OH + 3 O₂ → 2 CO₂ + 3 H₂O. Entering only its carbon and hydrogen, 2 and 6, would give 3.5 and overstate the oxygen by half a mole.
Why can the oxygen amount come out as a fraction, as with octane?
Moles can be fractional, so 12.5 mol of O₂ per mole of octane is perfectly real. Textbooks that prefer whole-number coefficients double everything: 2 C₈H₁₈ + 25 O₂ → 16 CO₂ + 18 H₂O, which describes exactly the same proportions.
How do I convert the CO₂ result to grams or litres?
Multiply moles by about 44.01 g/mol for mass, so 6 mol is about 264 g. For volume, an ideal gas takes up about 22.4 L per mole at 0 °C and 1 atmosphere, which puts 6 mol at roughly 134 L, more at room temperature.
Does the page tell me how much heat the fuel gives off?
No. It balances the atoms but does not calculate energy. For that you need the fuel's heat of combustion, available from thermochemical tables such as the NIST Chemistry WebBook, multiplied by the moles of fuel you are burning.

How this page was produced

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Quanta Calculator
Primary sources
3 cited below
Method
CₓHᵧ + (x+y/4)O₂ → xCO₂ + (y/2)H₂O
Published
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