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...
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![### 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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffd948921-4bec-4125-ada6-f0b0c056dfbe%2F4831f902-5744-4bb7-9d8b-4b068b8ec44f%2Fugi7xa_processed.jpeg&w=3840&q=75)
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
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