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:**
How many mL of 0.500 M NaI would be required to make a 0.0715 M solution of NaI when diluted to 275.0 mL with water?
**Explanation:**
This problem involves diluting a more concentrated solution to obtain a less concentrated one. The relationship between the concentrations and volumes of the solutions before and after dilution can be described with the equation:
\[ C_1 \times V_1 = C_2 \times V_2 \]
Where:
- \( C_1 \) = initial concentration (0.500 M)
- \( V_1 \) = volume of the initial concentration solution (unknown)
- \( C_2 \) = final concentration (0.0715 M)
- \( V_2 \) = final total volume after dilution (275.0 mL)
To find \( V_1 \), rearrange the equation:
\[ V_1 = \frac{C_2 \times V_2}{C_1} \]
Substitute the given values:
\[ V_1 = \frac{0.0715 \, \text{M} \times 275.0 \, \text{mL}}{0.500 \, \text{M}} \]
Calculate \( V_1 \) to determine the required volume of the 0.500 M NaI solution.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F234cde85-36b5-4134-954b-d1e4bc0a675b%2F16157b19-e273-40c8-a263-94c5aa80177d%2F33hxa3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
How many mL of 0.500 M NaI would be required to make a 0.0715 M solution of NaI when diluted to 275.0 mL with water?
**Explanation:**
This problem involves diluting a more concentrated solution to obtain a less concentrated one. The relationship between the concentrations and volumes of the solutions before and after dilution can be described with the equation:
\[ C_1 \times V_1 = C_2 \times V_2 \]
Where:
- \( C_1 \) = initial concentration (0.500 M)
- \( V_1 \) = volume of the initial concentration solution (unknown)
- \( C_2 \) = final concentration (0.0715 M)
- \( V_2 \) = final total volume after dilution (275.0 mL)
To find \( V_1 \), rearrange the equation:
\[ V_1 = \frac{C_2 \times V_2}{C_1} \]
Substitute the given values:
\[ V_1 = \frac{0.0715 \, \text{M} \times 275.0 \, \text{mL}}{0.500 \, \text{M}} \]
Calculate \( V_1 \) to determine the required volume of the 0.500 M NaI solution.
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