A beaker holds a mixture of 0.40 M HIO3 and 1.0 M HCOOH. Ka(HIO3) = 1.6 x 10-1 Ка(нсоон) = 1.77 × 10-4 What is the pH of the mixture of acids? pH = [?]

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
## Determining the pH of a Mixture of Acids

### Problem Statement:
A beaker holds a mixture of 0.40 M HIO₃ and 1.0 M HCOOH.

### Given:
- The acid dissociation constant for HIO₃, \( K_a(HIO₃) = 1.6 \times 10^{-1} \)
- The acid dissociation constant for HCOOH, \( K_a(HCOOH) = 1.77 \times 10^{-4} \)

### Question:
What is the pH of the mixture of acids?

### Calculation:
To determine the pH of the mixture, you need to consider the contributions of both HIO₃ and HCOOH to the concentration of hydrogen ions [H⁺] in the solution. Generally, if one of the acids is significantly stronger than the other (i.e., has a larger \( K_a \)), it will contribute more significantly to the [H⁺] and, thus, the pH of the solution.

In this case, HIO₃ is the stronger acid as it has a larger \( K_a \):

\[ K_a(HIO₃)=1.6 \times 10^{-1} \]
\[ K_a(HCOOH)=1.77 \times 10^{-4} \]

Therefore, the stronger acid HIO₃ will primarily determine the pH.

To estimate the pH:
1. Calculate the H⁺ concentration for the stronger acid HIO₃.
2. Determine the pH from the H⁺ concentration.

### Input Field:
Below, you can enter the calculated pH of the mixture:

#### pH of Mixture:
```
[ ________________ ] [Enter]
```

Enter your solution to check if it matches with the calculated value of pH.
Transcribed Image Text:## Determining the pH of a Mixture of Acids ### Problem Statement: A beaker holds a mixture of 0.40 M HIO₃ and 1.0 M HCOOH. ### Given: - The acid dissociation constant for HIO₃, \( K_a(HIO₃) = 1.6 \times 10^{-1} \) - The acid dissociation constant for HCOOH, \( K_a(HCOOH) = 1.77 \times 10^{-4} \) ### Question: What is the pH of the mixture of acids? ### Calculation: To determine the pH of the mixture, you need to consider the contributions of both HIO₃ and HCOOH to the concentration of hydrogen ions [H⁺] in the solution. Generally, if one of the acids is significantly stronger than the other (i.e., has a larger \( K_a \)), it will contribute more significantly to the [H⁺] and, thus, the pH of the solution. In this case, HIO₃ is the stronger acid as it has a larger \( K_a \): \[ K_a(HIO₃)=1.6 \times 10^{-1} \] \[ K_a(HCOOH)=1.77 \times 10^{-4} \] Therefore, the stronger acid HIO₃ will primarily determine the pH. To estimate the pH: 1. Calculate the H⁺ concentration for the stronger acid HIO₃. 2. Determine the pH from the H⁺ concentration. ### Input Field: Below, you can enter the calculated pH of the mixture: #### pH of Mixture: ``` [ ________________ ] [Enter] ``` Enter your solution to check if it matches with the calculated value of pH.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 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.
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