Design a buffer that has a pH of 7.24 using one of the weak base/conjugate acid systems shown below. Weak Base Kb Conjugate Acid Ka pka CH3NH2 4.2 x 10-4 CH3NH3* 2.4 x 10-11 10.62 C6H1503N 5.9 x 10-7 C6H1503NH* 1.7 x 10-8 7.77 C5H5N 1.5 x 10-⁹ C5H5NH+ 6.7 x 10-6 5.17 How many grams of the bromide salt of the conjugate acid must be combined with how many grams of the weak base, to produce 1.00 L of a buffer that is 1.00 M in the weak base? grams bromide salt of conjugate acid = grams weak base =
Design a buffer that has a pH of 7.24 using one of the weak base/conjugate acid systems shown below. Weak Base Kb Conjugate Acid Ka pka CH3NH2 4.2 x 10-4 CH3NH3* 2.4 x 10-11 10.62 C6H1503N 5.9 x 10-7 C6H1503NH* 1.7 x 10-8 7.77 C5H5N 1.5 x 10-⁹ C5H5NH+ 6.7 x 10-6 5.17 How many grams of the bromide salt of the conjugate acid must be combined with how many grams of the weak base, to produce 1.00 L of a buffer that is 1.00 M in the weak base? grams bromide salt of conjugate acid = grams weak base =
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
![**Designing a Buffer with a pH of 7.24**
To create a buffer with a pH of 7.24 using one of the given weak base/conjugate acid systems, consider the following data:
| Weak Base | \(K_b\) | Conjugate Acid | \(K_a\) | \(pK_a\) |
|-----------------|-----------------|--------------------|------------------|----------|
| \(CH_3NH_2\) | \(4.2 \times 10^{-4}\) | \(CH_3NH_3^+\) | \(2.4 \times 10^{-11}\) | 10.62 |
| \(C_6H_{15}O_3N\)| \(5.9 \times 10^{-7}\) | \(C_6H_{15}O_3NH^+\) | \(1.7 \times 10^{-8}\) | 7.77 |
| \(C_5H_5N\) | \(1.5 \times 10^{-9}\) | \(C_5H_5NH^+\) | \(6.7 \times 10^{-6}\) | 5.17 |
### Problem Statement:
Determine the number of grams of the bromide salt of the conjugate acid and the grams of the weak base required to produce 1.00 L of a buffer that has a concentration of 1.00 M in the weak base.
### Calculation Steps:
1. **Select the Buffer System:**
- Choose a system where the \(pK_a\) is close to the desired pH of 7.24. In this case, \(C_6H_{15}O_3N\) / \(C_6H_{15}O_3NH^+\) is the most suitable with a \(pK_a\) of 7.77.
2. **Henderson-Hasselbalch Equation:**
- \[ \text{pH} = pK_a + \log\left(\frac{[A^-]}{[HA]}\right) \]
- Substitute the values: \[ 7.24 = 7.77 + \log\left(\frac{[C_6H_{15}O_3N](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6ab0bbaf-7c6a-41d9-a28d-d2a0ce6f8c93%2F8791fd26-4f85-450c-a953-90fbbfb53802%2Fdcw6oqc_processed.png&w=3840&q=75)
Transcribed Image Text:**Designing a Buffer with a pH of 7.24**
To create a buffer with a pH of 7.24 using one of the given weak base/conjugate acid systems, consider the following data:
| Weak Base | \(K_b\) | Conjugate Acid | \(K_a\) | \(pK_a\) |
|-----------------|-----------------|--------------------|------------------|----------|
| \(CH_3NH_2\) | \(4.2 \times 10^{-4}\) | \(CH_3NH_3^+\) | \(2.4 \times 10^{-11}\) | 10.62 |
| \(C_6H_{15}O_3N\)| \(5.9 \times 10^{-7}\) | \(C_6H_{15}O_3NH^+\) | \(1.7 \times 10^{-8}\) | 7.77 |
| \(C_5H_5N\) | \(1.5 \times 10^{-9}\) | \(C_5H_5NH^+\) | \(6.7 \times 10^{-6}\) | 5.17 |
### Problem Statement:
Determine the number of grams of the bromide salt of the conjugate acid and the grams of the weak base required to produce 1.00 L of a buffer that has a concentration of 1.00 M in the weak base.
### Calculation Steps:
1. **Select the Buffer System:**
- Choose a system where the \(pK_a\) is close to the desired pH of 7.24. In this case, \(C_6H_{15}O_3N\) / \(C_6H_{15}O_3NH^+\) is the most suitable with a \(pK_a\) of 7.77.
2. **Henderson-Hasselbalch Equation:**
- \[ \text{pH} = pK_a + \log\left(\frac{[A^-]}{[HA]}\right) \]
- Substitute the values: \[ 7.24 = 7.77 + \log\left(\frac{[C_6H_{15}O_3N
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images

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
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