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
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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
Method
Algorithmic
Uses inspection and algebraic methods
Law
Mass Conservation
Equal atoms on both sides
Result
Whole Numbers
Simplest form coefficients
Application
Molar Ratios
For quantitative chemistry
Educational
Complete Steps
Shows detailed working
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 ✓
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.
Get Custom Calculator for Your PlatformChemical Equation Balancing Examples
Unbalanced:
- Equation: CH₄ + O₂ → CO₂ + H₂O
- C: 1 (left), 1 (right)
- H: 4 (left), 2 (right)
- O: 2 (left), 3 (right)
Balancing Steps:
- C is already balanced (1=1)
- Balance H: add 2 to H₂O (4=4)
- Balance O: add 2 to O₂ (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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