CaCO3 → CaO + CO2
Decomposition of calcium carbonate — balanced chemical equation, step by step.
Heating limestone in a lime kiln drives off carbon dioxide to make quicklime for cement.
How to balance CaCO3 = CaO + CO2
A decomposition reaction breaks one compound down into two or more simpler substances. Balancing means choosing coefficients so that every element has the same number of atoms on both sides of the arrow — the Law of Conservation of Mass. Here is how it's done, step by step.
Step 1 — Write the unbalanced equation
Start with the correct formulas for every reactant and product:
CaCO3 = CaO + CO2
Step 2 — Count the atoms of each element
Counting the atoms on each side, every element already matches — so each coefficient is 1:
| Element | Reactants | Products | Equal? |
|---|---|---|---|
| Ca | 1 | 1 | ✓ |
| C | 1 | 1 | ✓ |
| O | 3 | 3 | ✓ |
Step 3 — Add the smallest whole-number coefficients
Adjust the coefficients in front of each formula until every element balances. The smallest whole-number coefficients are 1 CaCO3, 1 CaO, 1 CO2, giving:
CaCO3 = CaO + CO2
For a decomposition reaction, balance the element common to the fewest products first, then work outward to the simpler substances.
Step 4 — Verify the balance
Recount every element. Each one now matches on both sides:
| Element | Reactants | Products | Balanced |
|---|---|---|---|
| Ca | 1 | 1 | ✓ |
| C | 1 | 1 | ✓ |
| O | 3 | 3 | ✓ |
All elements are balanced and the coefficients are the smallest whole numbers, so CaCO3 = CaO + CO2 is the correct balanced equation.
Molar masses and mole ratio
The balanced coefficients are also the mole ratio of the reaction. Using standard atomic masses, the molar mass of each substance is:
| Substance | Role | Molar mass (g/mol) | Moles |
|---|---|---|---|
| CaCO3 | reactant | 100.09 | 1 |
| CaO | product | 56.08 | 1 |
| CO2 | product | 44.01 | 1 |
For this reaction the mole ratio is 1 : 1 : 1. Combine these molar masses with the ratio in the free stoichiometry calculator to convert between moles, grams, and the number of particles for any reactant or product.
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