Air-Fuel Ratio (AFR) Calculator

Calculate air-fuel ratio, lambda, and equivalence ratio from air mass, fuel mass, and a stoichiometric reference.

Calculate air-fuel ratio
Enter air and fuel on the same mass basis, then choose the stoichiometric AFR for the fuel.

About air-fuel ratio

Air-fuel ratio, commonly abbreviated AFR, compares the mass of air supplied to combustion with the mass of fuel. An AFR of 14.7 to 1 means 14.7 units of air mass are present for every one unit of fuel mass. Because it is a mass ratio, the same unit can be used for both entries: grams with grams, kilograms with kilograms, or pounds with pounds. The units cancel, leaving a ratio that engineers and technicians use to describe mixture composition. A stoichiometric mixture contains exactly enough oxygen, in an ideal chemical model, to oxidize all fuel without leftover oxygen or unburned fuel. Gasoline is often represented by a stoichiometric AFR near 14.7 to 1, but the correct value varies with fuel composition. Ethanol, methanol, diesel, natural gas, and blended fuels each have different stoichiometric requirements. Enter the reference appropriate to the actual fuel rather than assuming the gasoline default in every case. Lambda normalizes the measured AFR by the stoichiometric AFR. Lambda equal to one indicates a stoichiometric mixture. A lambda below one is fuel-rich because the mixture has less air per unit fuel than the reference, while lambda above one is lean. Equivalence ratio is the reciprocal of lambda, so values above one are rich and values below one are lean. Reporting normalized values makes mixtures easier to compare across fuels with different stoichiometric ratios. Actual combustion behavior depends on more than a bulk ratio. Fuel atomization, charge temperature, residual gas, cylinder distribution, transient operation, sensor placement, and combustion efficiency all matter. Wideband oxygen sensors usually infer lambda from exhaust composition rather than directly weighing incoming air and fuel. Use this calculator to convert measured mass flows, review tuning targets, or study combustion relationships, but follow manufacturer guidance and use calibrated instrumentation for engine adjustments. Excessively rich or lean operation can reduce performance, increase emissions, damage components, or create unsafe conditions.

Air-fuel ratio examples

The gasoline examples use a stoichiometric reference of 14.7:1.

Air and fuel massAFR and lambdaMixture
14.7 kg air, 1 kg fuel14.7:1, lambda 1.000Stoichiometric for the chosen reference.
12 kg air, 1 kg fuel12:1, lambda 0.816Rich relative to 14.7:1.
16 kg air, 1 kg fuel16:1, lambda 1.088Lean relative to 14.7:1.

How to calculate AFR

  1. Enter the air mass or air mass flow measured over a consistent interval.
  2. Enter fuel mass in the same unit and over the same interval.
  3. Enter the stoichiometric AFR appropriate to the fuel.
  4. Select Calculate Air-Fuel Ratio and interpret AFR together with lambda.

Air-fuel ratio FAQ

What AFR is stoichiometric for gasoline?

A value near 14.7 to 1 is commonly used for conventional gasoline. The exact ratio varies with the fuel formulation and oxygenate content.

What is a rich mixture?

A rich mixture contains more fuel relative to air than the stoichiometric reference. It has lambda below one and equivalence ratio above one.

What is a lean mixture?

A lean mixture contains more air relative to fuel than the stoichiometric reference. It has lambda above one and equivalence ratio below one.

Can I enter mass flow rates?

Yes, provided air and fuel flow use the same mass unit and time basis. Their quotient is the same dimensionless AFR as a ratio of total masses.

Why does stoichiometric AFR differ by fuel?

Fuels contain different proportions of carbon, hydrogen, oxygen, and other components. Their complete-combustion reactions therefore require different amounts of oxygen and air.