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Chemistry Tool

Balance Equation Calculator - Chemical Equation Balancer & Balance Chemical Equations

Free chemical equation balancer calculator. Balance equations automatically with step-by-step solutions using law of conservation of mass. Perfect for chemistry students learning stoichiometry.

Last updated: December 15, 2024

Automatic equation balancing
Conservation of mass verification
Coefficient calculation included

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Balance Equation Calculator
Balance chemical equations automatically

Enter reactants separated by + (use numbers for subscripts: H2O)

Enter products separated by + (use numbers for subscripts)

Balanced Equation

Balanced Equation:

2H₂ + O₂ → 2H₂O

Reactants:

2H₂ + O₂

Products:

2H₂O

Coefficients:

2, 1, 2

Step-by-Step Solution:

1. Given equation: H2 + O2 → H2O

2. Identify elements: H and O

3. Count atoms on each side:

Reactants: H=2, O=2

Products: H=2, O=1

6. Balance oxygen by adding coefficient 2 to H2O

7. Balance hydrogen by adding coefficient 2 to H2

8. Final check: H=4, O=2 on both sides

Balancing Tips:

  • • Law of conservation of mass applies
  • • Same number of atoms on both sides
  • • Adjust coefficients, not subscripts
  • • Use smallest whole numbers
  • • Examples: H2+O2→H2O, CH4+O2→CO2+H2O

Chemical Equation Balancer Features

Automatic Equation Balancing
Balance equations instantly

Method

Algorithmic

Uses inspection and algebraic methods

Conservation Verification
Ensures mass conservation

Law

Mass Conservation

Equal atoms on both sides

Coefficient Calculator
Find smallest whole number coefficients

Result

Whole Numbers

Simplest form coefficients

Stoichiometry Support
Molar ratio calculations

Application

Molar Ratios

For quantitative chemistry

Step-by-Step Solutions
Learn the balancing process

Educational

Complete Steps

Shows detailed working

Common Reactions
Pre-loaded equation database

Database

Examples

Combustion, synthesis, decomposition

Quick Example Result

Balance: H₂ + O₂ → H₂O

Balanced

2H₂ + O₂ → 2H₂O

Coefficients

2, 1, 2

Atoms Balanced

H: 4, O: 2

How Our Balance Equation Calculator Works

Our chemical equation balancer uses systematic algorithms to balance equations by applying the law of conservation of mass. The calculator adjusts coefficients to ensure equal numbers of atoms for each element on both sides of the equation.

Balancing Method

Step 1: Count atoms of each element on both sides

Step 2: Identify which elements are unbalanced

Step 3: Add coefficients to balance each element

Step 4: Check all elements are balanced

Step 5: Simplify to smallest whole numbers

The inspection method systematically balances elements starting with those appearing in fewest compounds. Complex equations may require algebraic methods or half-reaction balancing for redox reactions.

Example: H₂ + O₂ → H₂O

Unbalanced: H₂ + O₂ → H₂O

Count: H=2, O=2 (left) vs H=2, O=1 (right)

Add coefficient 2 to H₂O: H₂ + O₂ → 2H₂O

Now: H=2, O=2 (left) vs H=4, O=2 (right)

Add coefficient 2 to H₂: 2H₂ + O₂ → 2H₂O

Balanced: H=4, O=2 on both sides ✓

🧪 Equation Balancing Diagram

Showing atom counts and coefficient adjustments

Chemical Foundation

Balancing chemical equations is fundamental to stoichiometry and quantitative chemistry. The law of conservation of mass requires that atoms are neither created nor destroyed in chemical reactions—they are simply rearranged. Balanced equations provide the molar ratios needed for calculating reactant and product quantities in laboratory and industrial applications.

  • Law of conservation of mass must be satisfied
  • Coefficients adjust molecule/mole quantities
  • Subscripts (formula) never change
  • Smallest whole number coefficients preferred
  • Essential for stoichiometric calculations
  • Used in limiting reactant and yield problems

Sources & References

  • Chemistry: The Central Science - Brown, LeMay, Bursten, Murphy (14th Edition)Standard reference for chemical equations
  • Chemical Principles - Zumdahl, DeCoste (8th Edition)Comprehensive stoichiometry coverage
  • Khan Academy - Balancing Chemical EquationsEducational resource for learning equation balancing

Need help with other chemistry calculations? Check out our pH calculator and molarity calculator.

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Chemical Equation Balancing Examples

Example: Combustion of Methane
Balance combustion reaction

Unbalanced:

  • Equation: CH₄ + O₂ → CO₂ + H₂O
  • C: 1 (left), 1 (right)
  • H: 4 (left), 2 (right)
  • O: 2 (left), 3 (right)

Balancing Steps:

  1. C is already balanced (1=1)
  2. Balance H: add 2 to H₂O (4=4)
  3. Balance O: add 2 to O₂ (4=4)
  4. Check all elements

Balanced Equation:

CH₄ + 2O₂ → CO₂ + 2H₂O

Coefficients: 1, 2, 1, 2 | All atoms balanced: C=1, H=4, O=4

Synthesis

N₂ + H₂ → NH₃

N₂ + 3H₂ → 2NH₃

Decomposition

KClO₃ → KCl + O₂

2KClO₃ → 2KCl + 3O₂

Frequently Asked Questions

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