What concentration of CIO, results when 979 mL of 0.289 M AgCIO, is mixed with 651 mL of 0.273 M Mn(CIO,),? [CIO,] = %3D M

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
Question
### Problem Statement:
Calculate the concentration of \(\text{ClO}_3^-\) when 979 mL of 0.289 M \(\text{AgClO}_3\) is mixed with 651 mL of 0.273 M \(\text{Mn(ClO}_3\))_2?

#### Solution:

To determine the final concentration of \(\text{ClO}_3^-\), use the following steps:

1. **Calculate the moles of \(\text{ClO}_3^-\) from \(\text{AgClO}_3\):**
   - Volume = 979 mL = 0.979 L
   - Molarity = 0.289 M
   - Moles of \(\text{ClO}_3^-\) = Volume × Molarity = 0.979 × 0.289 = 0.283031 moles

2. **Calculate the moles of \(\text{ClO}_3^-\) from \(\text{Mn(ClO}_3)_2\):**
   - Volume = 651 mL = 0.651 L
   - Molarity = 0.273 M
   - Moles of \(\text{ClO}_3^-\) = Volume × Molarity × 2 (since there are 2 \(\text{ClO}_3^-\) ions per formula unit of \(\text{Mn(ClO}_3)_2\)) = 0.651 × 0.273 × 2 = 0.355386 moles

3. **Total moles of \(\text{ClO}_3^-\):**
   - Total moles = 0.283031 + 0.355386 = 0.638417 moles

4. **Total volume of the mixture:**
   - Total volume = 979 mL + 651 mL = 1630 mL = 1.630 L

5. **Calculate the concentration of \(\text{ClO}_3^-\) in the mixture:**
   - \([\text{ClO}_3^-]\) = Total moles / Total volume = 0.638417 / 1.630 = 0.3916 M

The concentration of \(\text{ClO}_3^-\) in the final
Transcribed Image Text:### Problem Statement: Calculate the concentration of \(\text{ClO}_3^-\) when 979 mL of 0.289 M \(\text{AgClO}_3\) is mixed with 651 mL of 0.273 M \(\text{Mn(ClO}_3\))_2? #### Solution: To determine the final concentration of \(\text{ClO}_3^-\), use the following steps: 1. **Calculate the moles of \(\text{ClO}_3^-\) from \(\text{AgClO}_3\):** - Volume = 979 mL = 0.979 L - Molarity = 0.289 M - Moles of \(\text{ClO}_3^-\) = Volume × Molarity = 0.979 × 0.289 = 0.283031 moles 2. **Calculate the moles of \(\text{ClO}_3^-\) from \(\text{Mn(ClO}_3)_2\):** - Volume = 651 mL = 0.651 L - Molarity = 0.273 M - Moles of \(\text{ClO}_3^-\) = Volume × Molarity × 2 (since there are 2 \(\text{ClO}_3^-\) ions per formula unit of \(\text{Mn(ClO}_3)_2\)) = 0.651 × 0.273 × 2 = 0.355386 moles 3. **Total moles of \(\text{ClO}_3^-\):** - Total moles = 0.283031 + 0.355386 = 0.638417 moles 4. **Total volume of the mixture:** - Total volume = 979 mL + 651 mL = 1630 mL = 1.630 L 5. **Calculate the concentration of \(\text{ClO}_3^-\) in the mixture:** - \([\text{ClO}_3^-]\) = Total moles / Total volume = 0.638417 / 1.630 = 0.3916 M The concentration of \(\text{ClO}_3^-\) in the final
Expert Solution
steps

Step by step

Solved in 6 steps with 6 images

Blurred answer
Knowledge Booster
Balancing of Redox Reactions
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