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 4: Dilution Calculation**
*Question:*
How many milliliters of 15.0 M ammonium hydroxide are needed to prepare 175.0 mL of 0.30 M ammonium hydroxide solution?
*Explanation:*
To solve this problem, we use the formula for dilution, which is:
\[ C_1 \times V_1 = C_2 \times V_2 \]
Where:
- \( C_1 \) is the concentration of the stock solution (15.0 M),
- \( V_1 \) is the volume of the stock solution needed,
- \( C_2 \) is the concentration of the diluted solution (0.30 M),
- \( V_2 \) is the volume of the diluted solution (175.0 mL).
Rearranging the formula to solve for \( V_1 \):
\[ V_1 = \frac{C_2 \times V_2}{C_1} \]
Substitute the given values:
\[ V_1 = \frac{0.30 \times 175.0}{15.0} \]
Calculate \( V_1 \) to find the volume of the concentrated solution required.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4b6db2d9-4c09-49d2-b260-82ef02d33a50%2Fc5db1a41-db4f-4ad2-a5a6-c194efa343bd%2Fcv4ze08_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 4: Dilution Calculation**
*Question:*
How many milliliters of 15.0 M ammonium hydroxide are needed to prepare 175.0 mL of 0.30 M ammonium hydroxide solution?
*Explanation:*
To solve this problem, we use the formula for dilution, which is:
\[ C_1 \times V_1 = C_2 \times V_2 \]
Where:
- \( C_1 \) is the concentration of the stock solution (15.0 M),
- \( V_1 \) is the volume of the stock solution needed,
- \( C_2 \) is the concentration of the diluted solution (0.30 M),
- \( V_2 \) is the volume of the diluted solution (175.0 mL).
Rearranging the formula to solve for \( V_1 \):
\[ V_1 = \frac{C_2 \times V_2}{C_1} \]
Substitute the given values:
\[ V_1 = \frac{0.30 \times 175.0}{15.0} \]
Calculate \( V_1 \) to find the volume of the concentrated solution required.
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