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:**
100.0 mL of a 0.755 M solution of KBr is diluted to 500.0 mL. What is the new concentration of the solution?
---
To find the new concentration after dilution, use the formula:
\[ C_1V_1 = C_2V_2 \]
Where:
- \( C_1 \) is the initial concentration (0.755 M)
- \( V_1 \) is the initial volume (100.0 mL)
- \( C_2 \) is the final concentration (unknown)
- \( V_2 \) is the final volume (500.0 mL)
Rearrange the formula to solve for \( C_2 \):
\[ C_2 = \frac{C_1V_1}{V_2} \]
Substitute the known values:
\[ C_2 = \frac{0.755 \, \text{M} \times 100.0 \, \text{mL}}{500.0 \, \text{mL}} \]
\[ C_2 = \frac{75.5}{500.0} \]
\[ C_2 = 0.151 \, \text{M} \]
Therefore, the new concentration of the KBr solution is 0.151 M.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3311a39d-a06e-4959-8361-15c893b16111%2Fd03f34c2-983e-4ba6-8b6d-5454e51d9d21%2Fhstua8t_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
100.0 mL of a 0.755 M solution of KBr is diluted to 500.0 mL. What is the new concentration of the solution?
---
To find the new concentration after dilution, use the formula:
\[ C_1V_1 = C_2V_2 \]
Where:
- \( C_1 \) is the initial concentration (0.755 M)
- \( V_1 \) is the initial volume (100.0 mL)
- \( C_2 \) is the final concentration (unknown)
- \( V_2 \) is the final volume (500.0 mL)
Rearrange the formula to solve for \( C_2 \):
\[ C_2 = \frac{C_1V_1}{V_2} \]
Substitute the known values:
\[ C_2 = \frac{0.755 \, \text{M} \times 100.0 \, \text{mL}}{500.0 \, \text{mL}} \]
\[ C_2 = \frac{75.5}{500.0} \]
\[ C_2 = 0.151 \, \text{M} \]
Therefore, the new concentration of the KBr solution is 0.151 M.
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