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
![**Problem Statement:**
What is the pH of a 2.15 M solution of NH₄Cl (K_b of NH₃ = 1.8 x 10⁻⁵)?
**Solution Explanation:**
To find the pH of an NH₄Cl solution, follow these steps:
1. **Understand the Dissociation:**
- NH₄Cl dissociates in water into NH₄⁺ and Cl⁻ ions.
- NH₄⁺ is the conjugate acid of NH₃.
2. **Relation of K_b and K_a:**
- Use the relation: \( K_w = K_a \times K_b \)
- \( K_w \) (ion-product constant of water) is \( 1.0 \times 10^{-14} \).
3. **Calculate K_a:**
- Rearrange to find K_a: \( K_a = \frac{K_w}{K_b} \)
- Substitute values: \( K_a = \frac{1.0 \times 10^{-14}}{1.8 \times 10^{-5}} \)
4. **Set up the Equilibrium Expression:**
- For the reaction: NH₄⁺ ⇌ NH₃ + H⁺
- Use: \( K_a = \frac{[NH₃][H⁺]}{[NH₄⁺]} \)
5. **Calculate [H⁺]:**
- Assume initial concentration of NH₄⁺ is 2.15 M.
- Apply ICE table approach assuming ‘x’ is the concentration of H⁺ formed.
6. **Solve for pH:**
- Calculate x (the concentration of H⁺).
- Use the formula: \( \text{pH} = -\log[H⁺] \)
This approach allows you to calculate the pH of the NH₄Cl solution.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa8f55c18-2057-4361-9aa0-e509a1f08c5c%2F4fdd6b34-b204-4be6-9be6-5ecc80a9b706%2Fg90neaa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
What is the pH of a 2.15 M solution of NH₄Cl (K_b of NH₃ = 1.8 x 10⁻⁵)?
**Solution Explanation:**
To find the pH of an NH₄Cl solution, follow these steps:
1. **Understand the Dissociation:**
- NH₄Cl dissociates in water into NH₄⁺ and Cl⁻ ions.
- NH₄⁺ is the conjugate acid of NH₃.
2. **Relation of K_b and K_a:**
- Use the relation: \( K_w = K_a \times K_b \)
- \( K_w \) (ion-product constant of water) is \( 1.0 \times 10^{-14} \).
3. **Calculate K_a:**
- Rearrange to find K_a: \( K_a = \frac{K_w}{K_b} \)
- Substitute values: \( K_a = \frac{1.0 \times 10^{-14}}{1.8 \times 10^{-5}} \)
4. **Set up the Equilibrium Expression:**
- For the reaction: NH₄⁺ ⇌ NH₃ + H⁺
- Use: \( K_a = \frac{[NH₃][H⁺]}{[NH₄⁺]} \)
5. **Calculate [H⁺]:**
- Assume initial concentration of NH₄⁺ is 2.15 M.
- Apply ICE table approach assuming ‘x’ is the concentration of H⁺ formed.
6. **Solve for pH:**
- Calculate x (the concentration of H⁺).
- Use the formula: \( \text{pH} = -\log[H⁺] \)
This approach allows you to calculate the pH of the NH₄Cl solution.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 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