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: Dilution of KBr Solution**
You have 100.0 mL of a 0.545 M solution of KBr. This solution is diluted to a final volume of 500.0 mL. What is the new concentration of the solution?
**Explanation:**
To find the new concentration after dilution, use the dilution formula:
\[ C_1V_1 = C_2V_2 \]
Where:
- \( C_1 \) is the initial concentration (0.545 M).
- \( V_1 \) is the initial volume (100.0 mL).
- \( C_2 \) is the final concentration.
- \( V_2 \) is the final volume (500.0 mL).
Rearranging the formula to solve for \( C_2 \):
\[ C_2 = \frac{C_1V_1}{V_2} \]
Plug in the values:
\[ C_2 = \frac{0.545 \, \text{M} \times 100.0 \, \text{mL}}{500.0 \, \text{mL}} \]
\[ C_2 = \frac{54.5 \, \text{M} \cdot \text{mL}}{500.0 \, \text{mL}} \]
\[ C_2 = 0.109 \, \text{M} \]
**Conclusion:**
The new concentration of the KBr solution after dilution is 0.109 M.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F43881e32-b504-4044-ab0b-cfb7c222f6a8%2Fd9cdad85-9247-4d46-ad43-8a400c98ccea%2Ffqseffw9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem: Dilution of KBr Solution**
You have 100.0 mL of a 0.545 M solution of KBr. This solution is diluted to a final volume of 500.0 mL. What is the new concentration of the solution?
**Explanation:**
To find the new concentration after dilution, use the dilution formula:
\[ C_1V_1 = C_2V_2 \]
Where:
- \( C_1 \) is the initial concentration (0.545 M).
- \( V_1 \) is the initial volume (100.0 mL).
- \( C_2 \) is the final concentration.
- \( V_2 \) is the final volume (500.0 mL).
Rearranging the formula to solve for \( C_2 \):
\[ C_2 = \frac{C_1V_1}{V_2} \]
Plug in the values:
\[ C_2 = \frac{0.545 \, \text{M} \times 100.0 \, \text{mL}}{500.0 \, \text{mL}} \]
\[ C_2 = \frac{54.5 \, \text{M} \cdot \text{mL}}{500.0 \, \text{mL}} \]
\[ C_2 = 0.109 \, \text{M} \]
**Conclusion:**
The new concentration of the KBr solution after dilution is 0.109 M.
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