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...
Related questions
Question
![**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 = -\
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 2 images
Recommended textbooks for you
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY