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:**
Calculate the pH when 62.0 mL of 0.250 M HCl is mixed with 40.0 mL of 0.150 M Ca(OH)₂.
**Solution Approach:**
1. **Determine Moles:**
- Find the moles of HCl:
\[
\text{Moles of HCl} = 62.0\, \text{mL} \times 0.250\, \text{M} \times \frac{1\, \text{L}}{1000\, \text{mL}}
\]
- Find the moles of Ca(OH)₂:
\[
\text{Moles of Ca(OH)₂} = 40.0\, \text{mL} \times 0.150\, \text{M} \times \frac{1\, \text{L}}{1000\, \text{mL}}
\]
2. **Determine Reaction:**
- HCl is a strong acid and Ca(OH)₂ is a strong base. The balanced reaction is:
\[
2 \text{HCl} + \text{Ca(OH)}_2 \rightarrow 2 \text{H}_2\text{O} + \text{CaCl}_2
\]
3. **Determine Limiting Reagent:**
- Calculate the moles of H⁺ from HCl.
- Calculate the moles of OH⁻ from Ca(OH)₂ (note: 1 mole of Ca(OH)₂ provides 2 moles of OH⁻).
- The limiting reagent will determine the leftover moles of either H⁺ or OH⁻.
4. **Calculate pH or pOH:**
- If H⁺ is leftover, calculate pH using:
\[
\text{pH} = -\log[\text{H}^+]
\]
- If OH⁻ is leftover, calculate pOH and then pH using:
\[
\text{pOH} = -\log[\text{OH}^-]
\]
\[
\text{pH} = 14 - \text{pOH}
\]
5. **Determine Final Concentration:**
- Consider total volume](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faeef920a-b7fc-42c4-a405-16f92aebf3b1%2Fa04f1e39-95a2-493f-8eb8-5156b58b0dbd%2Fl9w08rh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Calculate the pH when 62.0 mL of 0.250 M HCl is mixed with 40.0 mL of 0.150 M Ca(OH)₂.
**Solution Approach:**
1. **Determine Moles:**
- Find the moles of HCl:
\[
\text{Moles of HCl} = 62.0\, \text{mL} \times 0.250\, \text{M} \times \frac{1\, \text{L}}{1000\, \text{mL}}
\]
- Find the moles of Ca(OH)₂:
\[
\text{Moles of Ca(OH)₂} = 40.0\, \text{mL} \times 0.150\, \text{M} \times \frac{1\, \text{L}}{1000\, \text{mL}}
\]
2. **Determine Reaction:**
- HCl is a strong acid and Ca(OH)₂ is a strong base. The balanced reaction is:
\[
2 \text{HCl} + \text{Ca(OH)}_2 \rightarrow 2 \text{H}_2\text{O} + \text{CaCl}_2
\]
3. **Determine Limiting Reagent:**
- Calculate the moles of H⁺ from HCl.
- Calculate the moles of OH⁻ from Ca(OH)₂ (note: 1 mole of Ca(OH)₂ provides 2 moles of OH⁻).
- The limiting reagent will determine the leftover moles of either H⁺ or OH⁻.
4. **Calculate pH or pOH:**
- If H⁺ is leftover, calculate pH using:
\[
\text{pH} = -\log[\text{H}^+]
\]
- If OH⁻ is leftover, calculate pOH and then pH using:
\[
\text{pOH} = -\log[\text{OH}^-]
\]
\[
\text{pH} = 14 - \text{pOH}
\]
5. **Determine Final Concentration:**
- Consider total volume
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 5 steps
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