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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![**Problem: Calculate the pH of a Solution**
Calculate the pH of a solution that contains 150 mL of 0.25 M NaF and 252 mL of 0.30 M HF.
Given:
\[ K_a = 3.5 \times 10^{-4} \]
**Solution Explanation:**
To solve this problem, you need to determine the concentration of hydrogen ions (\([H^+]\)) in the solution to find the pH. This involves using the concept of a buffer solution since the solution contains both a weak acid (HF) and its conjugate base (NaF).
1. **Convert Volume to Liters:**
- Volume of NaF: \(0.150 \, \text{L}\)
- Volume of HF: \(0.252 \, \text{L}\)
2. **Calculate the Number of Moles:**
- Moles of NaF: \(0.150 \, \text{L} \times 0.25 \, \text{M} = 0.0375 \, \text{moles}\)
- Moles of HF: \(0.252 \, \text{L} \times 0.30 \, \text{M} = 0.0756 \, \text{moles}\)
3. **Calculate Concentrations in the Mixture:**
- Total Volume \(= 0.150 \, \text{L} + 0.252 \, \text{L} = 0.402 \, \text{L}\)
- Concentration of NaF: \(\frac{0.0375 \, \text{moles}}{0.402 \, \text{L}} \approx 0.0933 \, \text{M}\)
- Concentration of HF: \(\frac{0.0756 \, \text{moles}}{0.402 \, \text{L}} \approx 0.188 \, \text{M}\)
4. **Apply the Henderson-Hasselbalch Equation:**
\[
\text{pH} = \text{pK}_a + \log\left(\frac{[\text{A}^-]}{[\text{HA}]}\right)
\]
- \(\text{pK}_a = -\](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F78a9a2c8-87fa-4dce-a05a-3dd826ae3dea%2F27414465-958b-4c9a-ad1f-548f0ffa28e3%2F00qhya9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem: Calculate the pH of a Solution**
Calculate the pH of a solution that contains 150 mL of 0.25 M NaF and 252 mL of 0.30 M HF.
Given:
\[ K_a = 3.5 \times 10^{-4} \]
**Solution Explanation:**
To solve this problem, you need to determine the concentration of hydrogen ions (\([H^+]\)) in the solution to find the pH. This involves using the concept of a buffer solution since the solution contains both a weak acid (HF) and its conjugate base (NaF).
1. **Convert Volume to Liters:**
- Volume of NaF: \(0.150 \, \text{L}\)
- Volume of HF: \(0.252 \, \text{L}\)
2. **Calculate the Number of Moles:**
- Moles of NaF: \(0.150 \, \text{L} \times 0.25 \, \text{M} = 0.0375 \, \text{moles}\)
- Moles of HF: \(0.252 \, \text{L} \times 0.30 \, \text{M} = 0.0756 \, \text{moles}\)
3. **Calculate Concentrations in the Mixture:**
- Total Volume \(= 0.150 \, \text{L} + 0.252 \, \text{L} = 0.402 \, \text{L}\)
- Concentration of NaF: \(\frac{0.0375 \, \text{moles}}{0.402 \, \text{L}} \approx 0.0933 \, \text{M}\)
- Concentration of HF: \(\frac{0.0756 \, \text{moles}}{0.402 \, \text{L}} \approx 0.188 \, \text{M}\)
4. **Apply the Henderson-Hasselbalch Equation:**
\[
\text{pH} = \text{pK}_a + \log\left(\frac{[\text{A}^-]}{[\text{HA}]}\right)
\]
- \(\text{pK}_a = -\
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