What is the pH of a solution in which 15 mL of 0.21 M NaOH is added to 25 mL of 0.21 M HCl? pH =

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**Problem Statement:**

What is the pH of a solution in which 15 mL of 0.21 M NaOH is added to 25 mL of 0.21 M HCl?

**Solution:**

To find the pH of the resulting solution, we follow these steps:

1. **Calculate moles of NaOH and HCl:**

   - Moles of NaOH = Volume (L) × Molarity = 0.015 L × 0.21 mol/L = 0.00315 mol
   - Moles of HCl = Volume (L) × Molarity = 0.025 L × 0.21 mol/L = 0.00525 mol

2. **Determine the limiting reactant:**

   Since moles of NaOH (0.00315 mol) are less than moles of HCl (0.00525 mol), NaOH is the limiting reactant. All NaOH will react with HCl.

3. **Calculate moles of excess HCl:**

   Excess HCl = Initial moles of HCl - Moles of NaOH 
              = 0.00525 mol - 0.00315 mol = 0.00210 mol

4. **Calculate concentration of HCl in the solution:**

   Total volume of the solution = 15 mL + 25 mL = 40 mL = 0.040 L

   Concentration of excess HCl = moles / volume = 0.00210 mol / 0.040 L = 0.0525 M

5. **Calculate the pH:**

   Since HCl is a strong acid, [H⁺] = 0.0525 M. 

   pH = -log[H⁺] = -log(0.0525) ≈ 1.28

Therefore, the pH of the solution is approximately 1.28.

**Conclusion:**

The solution remains acidic after the reaction, given the excess of HCl.
Transcribed Image Text:**Problem Statement:** What is the pH of a solution in which 15 mL of 0.21 M NaOH is added to 25 mL of 0.21 M HCl? **Solution:** To find the pH of the resulting solution, we follow these steps: 1. **Calculate moles of NaOH and HCl:** - Moles of NaOH = Volume (L) × Molarity = 0.015 L × 0.21 mol/L = 0.00315 mol - Moles of HCl = Volume (L) × Molarity = 0.025 L × 0.21 mol/L = 0.00525 mol 2. **Determine the limiting reactant:** Since moles of NaOH (0.00315 mol) are less than moles of HCl (0.00525 mol), NaOH is the limiting reactant. All NaOH will react with HCl. 3. **Calculate moles of excess HCl:** Excess HCl = Initial moles of HCl - Moles of NaOH = 0.00525 mol - 0.00315 mol = 0.00210 mol 4. **Calculate concentration of HCl in the solution:** Total volume of the solution = 15 mL + 25 mL = 40 mL = 0.040 L Concentration of excess HCl = moles / volume = 0.00210 mol / 0.040 L = 0.0525 M 5. **Calculate the pH:** Since HCl is a strong acid, [H⁺] = 0.0525 M. pH = -log[H⁺] = -log(0.0525) ≈ 1.28 Therefore, the pH of the solution is approximately 1.28. **Conclusion:** The solution remains acidic after the reaction, given the excess of HCl.
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