Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F96e56296-18d3-4bb7-9fa3-1250dffedf44%2Fd583daf9-e963-48af-a98f-468ef5bcf8a5%2Fv26tnda_processed.jpeg&w=3840&q=75)
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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