1. **State the problem:** We need to find the mass of water formed when 145.0 mL of 1.5 M acetic acid reacts with 195.0 mL of 1.25 M sodium bicarbonate. This is a limiting reactant problem.
2. **Write the balanced chemical equation:**
$$\mathrm{HC_2H_3O_2 (aq) + NaHCO_3 (aq) \rightarrow NaC_2H_3O_2 (aq) + H_2O (l) + CO_2 (g)}$$
3. **Calculate moles of each reactant:**
- Moles of acetic acid: $$n_{\mathrm{acid}} = M \times V = 1.5 \times \frac{145.0}{1000} = 0.2175$$ moles
- Moles of sodium bicarbonate: $$n_{\mathrm{bicarb}} = 1.25 \times \frac{195.0}{1000} = 0.24375$$ moles
4. **Determine the limiting reactant:**
The reaction ratio is 1:1, so the limiting reactant is the one with fewer moles.
$$0.2175 < 0.24375 \Rightarrow \text{acetic acid is limiting}$$
5. **Calculate moles of water formed:**
From the balanced equation, 1 mole of acetic acid produces 1 mole of water.
$$n_{\mathrm{H_2O}} = 0.2175$$ moles
6. **Calculate mass of water:**
Molar mass of water $$= 18.015\,g/mol$$
$$m = n \times M = 0.2175 \times 18.015 = 3.916$$ g
7. **Final answer:**
The mass of water formed is approximately **3.9 g**.
Water Mass 37De3B
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