To determine the corresponding formula equation for the given word equation, we need to translate each chemical substance from its name to its chemical formula and then balance the equation. The given word equation is:
Calcium hydroxide + hydrochloric acid -> calcium chloride + water
Let's go through each component:
1. Calcium hydroxide: The chemical formula is [tex]\( \text{Ca(OH)}_2 \)[/tex].
2. Hydrochloric acid: The chemical formula is [tex]\( \text{HCl} \)[/tex].
3. Calcium chloride: The chemical formula is [tex]\( \text{CaCl}_2 \)[/tex].
4. Water: The chemical formula is [tex]\( \text{H}_2\text{O} \)[/tex].
Now, we write down the unbalanced chemical equation using these formulas:
[tex]\[ \text{Ca(OH)}_2 + \text{HCl} \rightarrow \text{CaCl}_2 + \text{H}_2\text{O} \][/tex]
Next, we balance the chemical equation. Balancing requires ensuring that the number of atoms of each element is the same on both sides of the equation.
1. We observe that [tex]\( \text{Ca} \)[/tex] and [tex]\( \text{Cl} \)[/tex] atoms are already balanced.
2. However, on the left side, we have 2 [tex]\( \text{OH} \)[/tex] radicals and only 1 [tex]\( \text{H}_2\text{O} \)[/tex] molecule on the right. To balance this, we need 2 [tex]\( \text{HCl} \)[/tex] molecules to provide 2 [tex]\( \text{Cl} \)[/tex] atoms and 2 [tex]\( \text{H} \)[/tex] atoms.
Balancing the hydrogens and chlorines:
[tex]\[ \text{Ca(OH)}_2 + 2\text{HCl} \rightarrow \text{CaCl}_2 + 2\text{H}_2\text{O} \][/tex]
Now, the equation is balanced because we have:
- 1 calcium (Ca) on both sides,
- 2 chlorine (Cl) atoms on both sides,
- 2 oxygen (O) atoms on both sides,
- 4 hydrogen (H) atoms on both sides (2 from 2 HCl + 2 from 2 H2O).
Thus, the balanced formula equation corresponding to the given word equation is:
[tex]\[ \text{Ca(OH)}_2 + 2\text{HCl} \rightarrow \text{CaCl}_2 + 2\text{H}_2\text{O} \][/tex]
So, the correct corresponding formula equation is:
[tex]\[ \boxed{\text{Ca(OH)}_2 + 2\text{HCl} \rightarrow \text{CaCl}_2 + 2\text{H}_2\text{O}} \][/tex]
