Chemical Equation Balancer: Balance a Chemical Equation Step by Step with Atom Count

Find the coefficients that balance a reaction.

Calculated from standard textbook formulas, with every step shown. The formulas are fixed, so the working does not need checking: what matters is the numbers you type in. Use these calculators only if you are competent to choose the inputs (loads, material strength, dimensions, supports) and check your units and assumptions. For learning and checking your own working: design and sign-off are for a qualified engineer. Drafting Central does not store the numbers you type.

How this calculator works

Type the equation with an arrow between reactants and products.

Write formulas without numbers in front.

The calculator gives the balanced equation and the atom check.

Formulas used

  • N_{left}(\text{element}) = N_{right}(\text{element})

Worked example

With the default numbers in the calculator above:

  1. Balanced equation: C3H8 + 5 O2 -> 3 CO2 + 4 H2O
  2. Coefficients: C3H8 = 1, O2 = 5, CO2 = 3, H2O = 4
  3. Atoms of each element (left = right): C: 3 = 3; H: 8 = 8; O: 10 = 10

Change the numbers in the calculator to see the full working, every step, for your own case.

A second worked example

A different case, with these numbers: The equation Fe + O2 -> Fe2O3.

  1. Balanced equation: 4 Fe + 3 O2 -> 2 Fe2O3
  2. Coefficients: Fe = 4, O2 = 3, Fe2O3 = 2
  3. Atoms of each element (left = right): Fe: 4 = 4; O: 6 = 6

Common questions

How do you balance a chemical equation?

Choose coefficients so that each element has the same number of atoms on both sides. The calculator solves this as a set of equations.

Why must an equation be balanced?

Atoms are not created or destroyed in a chemical reaction, so their numbers must match on both sides.

Why can some equations not be balanced?

If an element appears only on one side, or the formulas are wrong, no set of coefficients works.

Related calculators

Got a question about this? Ask an engineering question and get a plain-language answer with references.

Further reading: Any chemistry text (balancing chemical equations).

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