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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![**Question 21 of 21**
A solution of 300.0 mL with a concentration of 0.400 M NaI is diluted to a final volume of 700.0 mL. What is the new concentration of the solution?
**Explanation:**
To find the new concentration after dilution, use the formula for dilution:
\[ C_1V_1 = C_2V_2 \]
Where:
- \( C_1 \) = initial concentration (0.400 M)
- \( V_1 \) = initial volume (300.0 mL)
- \( C_2 \) = final concentration (unknown)
- \( V_2 \) = final volume (700.0 mL)
Rearranging the formula to solve for \( C_2 \):
\[ C_2 = \frac{C_1V_1}{V_2} \]
Substitute the known values:
\[ C_2 = \frac{0.400 \, \text{M} \times 300.0 \, \text{mL}}{700.0 \, \text{mL}} \]
\[ C_2 = \frac{120.0}{700.0} \]
\[ C_2 = 0.171 \, \text{M} \]
The new concentration of the solution is 0.171 M.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa04b93a0-8cb6-4c4e-81fa-ab66edf67455%2F8534a54f-621e-4860-b2ed-e22502b275ed%2Fzrkpk6_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question 21 of 21**
A solution of 300.0 mL with a concentration of 0.400 M NaI is diluted to a final volume of 700.0 mL. What is the new concentration of the solution?
**Explanation:**
To find the new concentration after dilution, use the formula for dilution:
\[ C_1V_1 = C_2V_2 \]
Where:
- \( C_1 \) = initial concentration (0.400 M)
- \( V_1 \) = initial volume (300.0 mL)
- \( C_2 \) = final concentration (unknown)
- \( V_2 \) = final volume (700.0 mL)
Rearranging the formula to solve for \( C_2 \):
\[ C_2 = \frac{C_1V_1}{V_2} \]
Substitute the known values:
\[ C_2 = \frac{0.400 \, \text{M} \times 300.0 \, \text{mL}}{700.0 \, \text{mL}} \]
\[ C_2 = \frac{120.0}{700.0} \]
\[ C_2 = 0.171 \, \text{M} \]
The new concentration of the solution is 0.171 M.
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