A buffer solution is made that is 0.402 M in HF and 0.402 M in KF. If Ka for HF is 7.20 x 10-4 what is the pH of the buffer solution? pH = Write the net ionic equation for the reaction that occurs when 0.107 mol HNO3 is added to 1.00 L of the buffer solution. (Use the lowest possible coefficients. Omit states of matter. Use H3O* instead of H+)
A buffer solution is made that is 0.402 M in HF and 0.402 M in KF. If Ka for HF is 7.20 x 10-4 what is the pH of the buffer solution? pH = Write the net ionic equation for the reaction that occurs when 0.107 mol HNO3 is added to 1.00 L of the buffer solution. (Use the lowest possible coefficients. Omit states of matter. Use H3O* instead of H+)
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
![### Buffer Solution Problem
#### Buffer Composition:
A buffer solution is composed of:
- 0.402 M in HF
- 0.402 M in KF
#### Problem Statement:
If the ionization constant (\(K_a\)) for HF is \(7.20 \times 10^{-4}\), determine the pH of the buffer solution.
\[ \text{pH} = \_\_\_\_\_\_ \]
#### Equation:
Write the net ionic equation for the reaction when 0.107 mol of \(HNO_3\) is added to 1.00 L of the buffer solution.
(Use the lowest possible coefficients and omit states of matter. Use \( H_3O^+ \) instead of \( H^+ \)).
\[ \_\_\_\_\_\_ + \_\_\_\_\_\_ \rightarrow \_\_\_\_\_\_ + \_\_\_\_\_\_ \]
#### Additional Instructions:
- Ensure to use the correct coefficient.
- Ignore states of matter.
### Explanation:
A buffer solution typically contains a weak acid and its conjugate base. In this case, HF (a weak acid) and KF (which provides \(K^+\) that doesn't react, leaving \(F^-\) as the conjugate base) make up the buffer system.
To find the pH, use the Henderson-Hasselbalch equation:
\[ \text{pH} = pK_a + \log \left( \frac{[\text{Conjugate Base}]}{[\text{Acid}]} \right) \]
Given:
- \( [HF] = 0.402 \, \text{M} \)
- \( [F^-] = 0.402 \, \text{M} \)
- \( K_a = 7.20 \times 10^{-4} \)
First, find \( pK_a \):
\[ pK_a = -\log(K_a) \]
\[ pK_a = -\log(7.20 \times 10^{-4}) \]
\[ pK_a \approx 3.14 \]
Substitute the values into the Henderson-Hasselbalch equation:
\[ \text{pH} = 3.14 + \log \left( \frac{0.402}{0.402} \right) \]
\[ \text{pH} =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fab4efe3b-fd54-4aa0-8660-b031c889fb2d%2Fb3b5603b-9310-4c3e-8d97-61de6b1528b8%2Frynmvnh_processed.png&w=3840&q=75)
Transcribed Image Text:### Buffer Solution Problem
#### Buffer Composition:
A buffer solution is composed of:
- 0.402 M in HF
- 0.402 M in KF
#### Problem Statement:
If the ionization constant (\(K_a\)) for HF is \(7.20 \times 10^{-4}\), determine the pH of the buffer solution.
\[ \text{pH} = \_\_\_\_\_\_ \]
#### Equation:
Write the net ionic equation for the reaction when 0.107 mol of \(HNO_3\) is added to 1.00 L of the buffer solution.
(Use the lowest possible coefficients and omit states of matter. Use \( H_3O^+ \) instead of \( H^+ \)).
\[ \_\_\_\_\_\_ + \_\_\_\_\_\_ \rightarrow \_\_\_\_\_\_ + \_\_\_\_\_\_ \]
#### Additional Instructions:
- Ensure to use the correct coefficient.
- Ignore states of matter.
### Explanation:
A buffer solution typically contains a weak acid and its conjugate base. In this case, HF (a weak acid) and KF (which provides \(K^+\) that doesn't react, leaving \(F^-\) as the conjugate base) make up the buffer system.
To find the pH, use the Henderson-Hasselbalch equation:
\[ \text{pH} = pK_a + \log \left( \frac{[\text{Conjugate Base}]}{[\text{Acid}]} \right) \]
Given:
- \( [HF] = 0.402 \, \text{M} \)
- \( [F^-] = 0.402 \, \text{M} \)
- \( K_a = 7.20 \times 10^{-4} \)
First, find \( pK_a \):
\[ pK_a = -\log(K_a) \]
\[ pK_a = -\log(7.20 \times 10^{-4}) \]
\[ pK_a \approx 3.14 \]
Substitute the values into the Henderson-Hasselbalch equation:
\[ \text{pH} = 3.14 + \log \left( \frac{0.402}{0.402} \right) \]
\[ \text{pH} =
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
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 2 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.Recommended textbooks for you
![Chemistry](https://www.bartleby.com/isbn_cover_images/9781305957404/9781305957404_smallCoverImage.gif)
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
![Chemistry](https://www.bartleby.com/isbn_cover_images/9781259911156/9781259911156_smallCoverImage.gif)
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
![Principles of Instrumental Analysis](https://www.bartleby.com/isbn_cover_images/9781305577213/9781305577213_smallCoverImage.gif)
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
![Chemistry](https://www.bartleby.com/isbn_cover_images/9781305957404/9781305957404_smallCoverImage.gif)
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
![Chemistry](https://www.bartleby.com/isbn_cover_images/9781259911156/9781259911156_smallCoverImage.gif)
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
![Principles of Instrumental Analysis](https://www.bartleby.com/isbn_cover_images/9781305577213/9781305577213_smallCoverImage.gif)
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
![Organic Chemistry](https://www.bartleby.com/isbn_cover_images/9780078021558/9780078021558_smallCoverImage.gif)
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
![Chemistry: Principles and Reactions](https://www.bartleby.com/isbn_cover_images/9781305079373/9781305079373_smallCoverImage.gif)
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
![Elementary Principles of Chemical Processes, Bind…](https://www.bartleby.com/isbn_cover_images/9781118431221/9781118431221_smallCoverImage.gif)
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY