A 1.80 M solution of an unknown acid has a pH of 1.22. What is the Ka? Your Answer: Answer

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
A 1.80 M solution of an unknown acid has a pH of 1.22. What is the Ka?

**Your Answer:**

[Text Box for Answer]

---

To solve for the \( K_a \) of the acid, use the relationship between pH, hydrogen ion concentration, and \( K_a \):

1. **Find the concentration of hydrogen ions \([H^+]\):**
   \[
   [H^+] = 10^{-\text{pH}} = 10^{-1.22}
   \]

2. **Write the expression for \( K_a \):**
   \[
   K_a = \frac{[H^+][A^-]}{[HA]} 
   \]
   where \([HA]\) is the initial concentration of the acid minus \([H^+]\), and \([A^-] = [H^+]\).

3. **Substitute the values:**
   \[
   K_a = \frac{(10^{-1.22})^2}{1.80 - 10^{-1.22}}
   \]

Calculate the above to find \( K_a \).
Transcribed Image Text:A 1.80 M solution of an unknown acid has a pH of 1.22. What is the Ka? **Your Answer:** [Text Box for Answer] --- To solve for the \( K_a \) of the acid, use the relationship between pH, hydrogen ion concentration, and \( K_a \): 1. **Find the concentration of hydrogen ions \([H^+]\):** \[ [H^+] = 10^{-\text{pH}} = 10^{-1.22} \] 2. **Write the expression for \( K_a \):** \[ K_a = \frac{[H^+][A^-]}{[HA]} \] where \([HA]\) is the initial concentration of the acid minus \([H^+]\), and \([A^-] = [H^+]\). 3. **Substitute the values:** \[ K_a = \frac{(10^{-1.22})^2}{1.80 - 10^{-1.22}} \] Calculate the above to find \( K_a \).
Expert Solution
Step 1

For a weak acid the relationship between dissociation constant and concentration of H+ ions is 

[H+] = Ka×C

C = concentration of acid

Ka = dissociation constant of acid

 

 

steps

Step by step

Solved in 3 steps

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
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