Certainly! Let's balance the chemical equation step-by-step.
Given:
[tex]\[ \text{Ca(OH)}_2 + \ldots \longrightarrow \text{CaCO}_3 + \ldots \][/tex]
### Step 1: Identify the Reactants and Products
On the left side (reactants), we have calcium hydroxide ([tex]\(\text{Ca(OH)}_2\)[/tex]).
On the right side (products), we have calcium carbonate ([tex]\(\text{CaCO}_3\)[/tex]).
### Step 2: Determine the Missing Reactants
To make the equation balanced, we need to add the correct reactants so that the number of atoms of each element on the left side equals the number on the right side.
### Step 3: Compare Elements on Both Sides
#### Left Side: [tex]\(\text{Ca(OH)}_2\)[/tex]
- Calcium (Ca): 1
- Oxygen (O): 2 (from [tex]\(\text{OH}\)[/tex])
- Hydrogen (H): 2 (from [tex]\(\text{OH}\)[/tex])
#### Right Side: [tex]\(\text{CaCO}_3\)[/tex]
- Calcium (Ca): 1
- Carbon (C): 1
- Oxygen (O): 3
To balance the elements, let's introduce carbon dioxide ([tex]\(\text{CO}_2\)[/tex]) and water ([tex]\(\text{H}_2\text{O}\)[/tex]) on the left side.
### Step 4: Balancing the Equation
1. Add carbon dioxide (CO₂) on the left side:
[tex]\[ \text{Ca(OH)}_2 + \text{CO}_2 \longrightarrow \text{CaCO}_3 \][/tex]
2. Add water (H₂O) on the right side to balance hydrogen and oxygen:
[tex]\[ \text{Ca(OH)}_2 + \text{CO}_2 \longrightarrow \text{CaCO}_3 + \text{H}_2\text{O} \][/tex]
### Step 5: Verify the Balance
#### Left Side:
- Calcium (Ca): 1
- Carbon (C): 1 (from CO₂)
- Oxygen (O): 2 + 2 (from CO₂) = 4
- Hydrogen (H): 2 (from [tex]\(\text{OH}\)[/tex])
#### Right Side:
- Calcium (Ca): 1
- Carbon (C): 1
- Oxygen (O): 3 (from [tex]\(\text{CaCO}_3\)[/tex]) + 1 (from [tex]\(\text{H}_2\text{O}\)[/tex]) = 4
- Hydrogen (H): 2 (from [tex]\(\text{H}_2\text{O}\)[/tex])
### Final Balanced Equation
The balanced chemical equation is:
[tex]\[ \text{Ca(OH)}_2 + \text{CO}_2 \longrightarrow \text{CaCO}_3 + \text{H}_2\text{O} \][/tex]
In conclusion, the balanced chemical equation is:
[tex]\[ \text{Ca(OH)}_2 + \text{CO}_2 \longrightarrow \text{CaCO}_3 + \text{H}_2\text{O} \][/tex]
