What concentration ratio of base to acid is necessary to get a buffer solution with a pH of 8.02 K 1.25 x105 Input your answer to 3 sf.

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...
icon
Related questions
icon
Concept explainers
Question
4 please on paper
### Problem Statement:

What concentration ratio of base to acid is necessary to get a buffer solution with a pH of 8.0? The given \( K_b = 1.25 \times 10^{-5} \).

**Instructions:**  
Input your answer to three significant figures.

### Explanation:

In this exercise, you are asked to calculate the concentration ratio of a base to an acid required to achieve a buffer solution with a specified pH. This involves understanding the principles of buffer solutions and the relationship between \( pK_a \), \( K_b \), and pH. 

For this scenario, you would typically use the Henderson-Hasselbalch equation:

\[ \text{pH} = \text{pK}_a + \log\left(\frac{[\text{base}]}{[\text{acid}]}\right) \]

Given \( K_b \), you can find \( pK_a \) by using the relation between \( K_w \) (the ion product of water, \( 1.0 \times 10^{-14} \) at 25°C), \( K_a \), and \( K_b \): 

\[ K_a \cdot K_b = K_w \]

Calculate \( pK_a \), plug the values into the Henderson-Hasselbalch equation, and solve for the base-to-acid ratio. The answer should be precise to three significant figures as requested.
Transcribed Image Text:### Problem Statement: What concentration ratio of base to acid is necessary to get a buffer solution with a pH of 8.0? The given \( K_b = 1.25 \times 10^{-5} \). **Instructions:** Input your answer to three significant figures. ### Explanation: In this exercise, you are asked to calculate the concentration ratio of a base to an acid required to achieve a buffer solution with a specified pH. This involves understanding the principles of buffer solutions and the relationship between \( pK_a \), \( K_b \), and pH. For this scenario, you would typically use the Henderson-Hasselbalch equation: \[ \text{pH} = \text{pK}_a + \log\left(\frac{[\text{base}]}{[\text{acid}]}\right) \] Given \( K_b \), you can find \( pK_a \) by using the relation between \( K_w \) (the ion product of water, \( 1.0 \times 10^{-14} \) at 25°C), \( K_a \), and \( K_b \): \[ K_a \cdot K_b = K_w \] Calculate \( pK_a \), plug the values into the Henderson-Hasselbalch equation, and solve for the base-to-acid ratio. The answer should be precise to three significant figures as requested.
Expert Solution
Step 1

We have to use Henderson Hasselbalch equation to calculate the ratio of base to acid. 

For this we would first Calculate pKa and use given pH. 

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Ionic Equilibrium
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY