2. What is the hydronium-ion concentration in a solution formed by combining 750. mL of 0.10 M NaOH with 250. mL of 0.30 M HCI at 25.0°C? NaOH(aq) + HCl(aq) ->> NaCl(aq) + H₂O(l)

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Chapter1: Chemical Foundations
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**Problem 2: Calculation of Hydronium-Ion Concentration**

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**Question:**

What is the hydronium-ion concentration in a solution formed by combining 750. mL of 0.10 M NaOH with 250. mL of 0.30 M HCl at 25.0°C?

**Relevant Chemical Reaction:**

\[ \text{NaOH(aq)} + \text{HCl(aq)} \rightarrow \text{NaCl(aq)} + \text{H}_2\text{O(l)} \]

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**Solution Steps:**

To solve this problem, we follow these steps:

1. **Calculate the moles of NaOH and HCl:**
   - Moles of NaOH = \( 0.10 \, M \times 0.750 \, L = 0.075 \text{ mol} \)
   - Moles of HCl = \( 0.30 \, M \times 0.250 \, L = 0.075 \text{ mol} \)

2. **Determine the limiting reagent:**
   - Both NaOH and HCl have the same number of moles (0.075 mol), so they will completely neutralize each other.

3. **Calculate the resulting moles of excess H\(_3\text{O}^+\) or OH\(^-\):**
   - Since both reactants neutralize completely, there will be no excess H\(_3\text{O}^+\) or OH\(^-\) in the solution.

4. **Determine the total volume of the solution:**
   - Total volume = 750 mL + 250 mL = 1000 mL = 1.00 L

5. **Calculate the hydronium-ion concentration:**

Since the solution is neutral (neither H\(_3\text{O}^+\) nor OH\(^-\) is in excess), the concentration of H\(_3\text{O}^+\) is equal to that of pure water at 25.0°C, which is \( 1.00 \times 10^{-7} \, M \).

\[ [\text{H}_3\text{O}^+] = 1.00 \times 10^{-7} \, M \]

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**Conclusion:**

The hydronium-ion concentration \
Transcribed Image Text:**Problem 2: Calculation of Hydronium-Ion Concentration** --- **Question:** What is the hydronium-ion concentration in a solution formed by combining 750. mL of 0.10 M NaOH with 250. mL of 0.30 M HCl at 25.0°C? **Relevant Chemical Reaction:** \[ \text{NaOH(aq)} + \text{HCl(aq)} \rightarrow \text{NaCl(aq)} + \text{H}_2\text{O(l)} \] --- **Solution Steps:** To solve this problem, we follow these steps: 1. **Calculate the moles of NaOH and HCl:** - Moles of NaOH = \( 0.10 \, M \times 0.750 \, L = 0.075 \text{ mol} \) - Moles of HCl = \( 0.30 \, M \times 0.250 \, L = 0.075 \text{ mol} \) 2. **Determine the limiting reagent:** - Both NaOH and HCl have the same number of moles (0.075 mol), so they will completely neutralize each other. 3. **Calculate the resulting moles of excess H\(_3\text{O}^+\) or OH\(^-\):** - Since both reactants neutralize completely, there will be no excess H\(_3\text{O}^+\) or OH\(^-\) in the solution. 4. **Determine the total volume of the solution:** - Total volume = 750 mL + 250 mL = 1000 mL = 1.00 L 5. **Calculate the hydronium-ion concentration:** Since the solution is neutral (neither H\(_3\text{O}^+\) nor OH\(^-\) is in excess), the concentration of H\(_3\text{O}^+\) is equal to that of pure water at 25.0°C, which is \( 1.00 \times 10^{-7} \, M \). \[ [\text{H}_3\text{O}^+] = 1.00 \times 10^{-7} \, M \] --- **Conclusion:** The hydronium-ion concentration \
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