The balanced chemical equation for the reaction of hydrochloric acid (HCl) with calcium carbonate (CaCO₃) to produce calcium chloride (CaCl₂), water (H₂O), and carbon dioxide (CO₂) is:

2 HCl + CaCO₃ → CaCl₂ + H₂O + CO₂

Here's how to balance the equation:

1. Identify the reactants and products:

- Reactants: HCl and CaCO₃

- Products: CaCl₂, H₂O, and CO₂

2. Count the atoms of each element on both sides of the equation:

- Reactants:

- H: 1

- Cl: 1

- Ca: 1

- C: 1

- O: 3

- Products:

- H: 2

- Cl: 2

- Ca: 1

- C: 1

- O: 3

3. Adjust coefficients in front of the chemical formulas to balance the atoms:

- To balance the hydrogen and chlorine atoms, place a coefficient of 2 in front of HCl: 2 HCl + CaCO₃ → CaCl₂ + H₂O + CO₂

4. Double-check that the number of atoms of each element is the same on both sides:

- Reactants:

- H: 2

- Cl: 2

- Ca: 1

- C: 1

- O: 3

- Products:

- H: 2

- Cl: 2

- Ca: 1

- C: 1

- O: 3

The equation is now balanced!