You need to prepare 100.0 mL of a pH 4.00 buffer solution using 0.100 M benzoic acid (pK, = 4.20) and 0.200 M sodium benzoate. How many milliliters of each solution should be mixed to prepare this buffer? benzoic acid: 25.96 Incorrect sodium benzoate: 74.04 Incorrect mL mL
You need to prepare 100.0 mL of a pH 4.00 buffer solution using 0.100 M benzoic acid (pK, = 4.20) and 0.200 M sodium benzoate. How many milliliters of each solution should be mixed to prepare this buffer? benzoic acid: 25.96 Incorrect sodium benzoate: 74.04 Incorrect mL mL
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
100%
![### Preparing a pH 4.00 Buffer Solution
You are tasked with preparing 100.0 mL of a buffer solution with a pH of 4.00. This requires the use of 0.100 M benzoic acid, which has a \( pK_a \) of 4.20, and 0.200 M sodium benzoate. The question at hand is: **How many milliliters of each solution should be mixed to prepare this buffer?**
**Input Values:**
- **Benzoic acid:** 25.96 mL (marked as incorrect)
- **Sodium benzoate:** 74.04 mL (marked as incorrect)
### Explanation
In this setup, you are trying to use the Henderson-Hasselbalch equation to determine the correct volumes of benzoic acid and sodium benzoate to mix in order to achieve the desired buffer pH:
\[ \text{pH} = pK_a + \log \left( \frac{[\text{A}^-]}{[\text{HA}]} \right) \]
- Where \( [\text{A}^-] \) is the concentration of the conjugate base (sodium benzoate).
- \( [\text{HA}] \) is the concentration of the weak acid (benzoic acid).
Your calculations should align with maintaining the correct ratio between these two components to achieve the desired pH.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5c912840-3cef-4076-ae20-4392b587ea65%2F9fde740a-b8ac-4b7d-955c-19630729f9b2%2Fu5v1513h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Preparing a pH 4.00 Buffer Solution
You are tasked with preparing 100.0 mL of a buffer solution with a pH of 4.00. This requires the use of 0.100 M benzoic acid, which has a \( pK_a \) of 4.20, and 0.200 M sodium benzoate. The question at hand is: **How many milliliters of each solution should be mixed to prepare this buffer?**
**Input Values:**
- **Benzoic acid:** 25.96 mL (marked as incorrect)
- **Sodium benzoate:** 74.04 mL (marked as incorrect)
### Explanation
In this setup, you are trying to use the Henderson-Hasselbalch equation to determine the correct volumes of benzoic acid and sodium benzoate to mix in order to achieve the desired buffer pH:
\[ \text{pH} = pK_a + \log \left( \frac{[\text{A}^-]}{[\text{HA}]} \right) \]
- Where \( [\text{A}^-] \) is the concentration of the conjugate base (sodium benzoate).
- \( [\text{HA}] \) is the concentration of the weak acid (benzoic acid).
Your calculations should align with maintaining the correct ratio between these two components to achieve the desired pH.
Expert Solution

Step 1
Step by step
Solved in 4 steps with 4 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