Calculate the pH of a titration at the point when 15.0 mL of 0.15 M NaOH is added to 30.0 mL of 0.20 M HNO3 10.

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**Question #7:**

Calculate the pH of a titration at the point when 15.0 mL of 0.15 M NaOH is added to 30.0 mL of 0.20 M HNO₃.

**Explanation:**

In this problem, we are calculating the pH during the titration of a strong base (NaOH) with a strong acid (HNO₃). At this point in the titration, the base has been added to the acid, and we need to determine the resulting pH of the solution.

1. **Calculate moles of NaOH and HNO₃:**

   - Moles of NaOH = Volume (L) × Molarity = 0.015 L × 0.15 mol/L = 0.00225 mol
   - Moles of HNO₃ = Volume (L) × Molarity = 0.030 L × 0.20 mol/L = 0.006 mol

2. **Determine the limiting reactant:**

   - The moles of NaOH (0.00225) are less than the moles of HNO₃ (0.006), so NaOH is the limiting reactant.

3. **Calculate the moles of HNO₃ remaining:**

   - Moles of HNO₃ remaining = 0.006 mol - 0.00225 mol = 0.00375 mol

4. **Calculate the concentration of HNO₃ in the solution:**

   - Total volume = 15.0 mL + 30.0 mL = 45.0 mL = 0.045 L
   - Concentration of HNO₃ = 0.00375 mol / 0.045 L = 0.0833 M

5. **Calculate the pH of the solution:**

   - HNO₃ is a strong acid, so it completely dissociates.
   - Therefore, [H⁺] = 0.0833 M
   - pH = -log[H⁺] = -log(0.0833) ≈ 1.08

The pH at this point of the titration is approximately 1.08.
Transcribed Image Text:**Question #7:** Calculate the pH of a titration at the point when 15.0 mL of 0.15 M NaOH is added to 30.0 mL of 0.20 M HNO₃. **Explanation:** In this problem, we are calculating the pH during the titration of a strong base (NaOH) with a strong acid (HNO₃). At this point in the titration, the base has been added to the acid, and we need to determine the resulting pH of the solution. 1. **Calculate moles of NaOH and HNO₃:** - Moles of NaOH = Volume (L) × Molarity = 0.015 L × 0.15 mol/L = 0.00225 mol - Moles of HNO₃ = Volume (L) × Molarity = 0.030 L × 0.20 mol/L = 0.006 mol 2. **Determine the limiting reactant:** - The moles of NaOH (0.00225) are less than the moles of HNO₃ (0.006), so NaOH is the limiting reactant. 3. **Calculate the moles of HNO₃ remaining:** - Moles of HNO₃ remaining = 0.006 mol - 0.00225 mol = 0.00375 mol 4. **Calculate the concentration of HNO₃ in the solution:** - Total volume = 15.0 mL + 30.0 mL = 45.0 mL = 0.045 L - Concentration of HNO₃ = 0.00375 mol / 0.045 L = 0.0833 M 5. **Calculate the pH of the solution:** - HNO₃ is a strong acid, so it completely dissociates. - Therefore, [H⁺] = 0.0833 M - pH = -log[H⁺] = -log(0.0833) ≈ 1.08 The pH at this point of the titration is approximately 1.08.
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