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
![### Example Problem on Determining Molarity
#### Problem Statement:
You dissolve 14 g of \( \text{Mg(NO}_3\text{)}_2 \) in water and dilute to 750 mL. What is the molarity of this solution?
Show your work.
### Solution:
1. **Calculate the molar mass of \( \text{Mg(NO}_3\text{)}_2 \):**
- Mg: 24.31 g/mol
- N: 14.01 g/mol (2 atoms of N -> \( 2 \times 14.01 \) = 28.02 g/mol)
- O: 16.00 g/mol (6 atoms of O -> \( 6 \times 16.00 \) = 96.00 g/mol)
Molar Mass of \( \text{Mg(NO}_3\text{)}_2 \) = 24.31 + 28.02 + 96.00 = 148.33 g/mol
2. **Calculate moles of \( \text{Mg(NO}_3\text{)}_2 \):**
\[
\text{Moles of } \text{Mg(NO}_3\text{)}_2 = \frac{\text{mass}}{\text{molar mass}} = \frac{14 \, \text{g}}{148.33 \, \text{g/mol}} = 0.0944 \, \text{moles}
\]
3. **Convert 750 mL to liters:**
\[
750 \, \text{mL} = 0.750 \, \text{L}
\]
4. **Calculate molarity (M):**
\[
\text{Molarity} = \frac{\text{moles of solute}}{\text{liters of solution}} = \frac{0.0944 \, \text{moles}}{0.750 \, \text{L}} = 0.126 \, \text{M}
\]
### Answer:
The molarity of the solution is 0.126 M.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F81d865ca-ed2c-4f6d-a4cc-7f843242dec1%2Fcb81c585-3541-45a3-9f80-f373afb6139a%2Ffwd2h3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Example Problem on Determining Molarity
#### Problem Statement:
You dissolve 14 g of \( \text{Mg(NO}_3\text{)}_2 \) in water and dilute to 750 mL. What is the molarity of this solution?
Show your work.
### Solution:
1. **Calculate the molar mass of \( \text{Mg(NO}_3\text{)}_2 \):**
- Mg: 24.31 g/mol
- N: 14.01 g/mol (2 atoms of N -> \( 2 \times 14.01 \) = 28.02 g/mol)
- O: 16.00 g/mol (6 atoms of O -> \( 6 \times 16.00 \) = 96.00 g/mol)
Molar Mass of \( \text{Mg(NO}_3\text{)}_2 \) = 24.31 + 28.02 + 96.00 = 148.33 g/mol
2. **Calculate moles of \( \text{Mg(NO}_3\text{)}_2 \):**
\[
\text{Moles of } \text{Mg(NO}_3\text{)}_2 = \frac{\text{mass}}{\text{molar mass}} = \frac{14 \, \text{g}}{148.33 \, \text{g/mol}} = 0.0944 \, \text{moles}
\]
3. **Convert 750 mL to liters:**
\[
750 \, \text{mL} = 0.750 \, \text{L}
\]
4. **Calculate molarity (M):**
\[
\text{Molarity} = \frac{\text{moles of solute}}{\text{liters of solution}} = \frac{0.0944 \, \text{moles}}{0.750 \, \text{L}} = 0.126 \, \text{M}
\]
### Answer:
The molarity of the solution is 0.126 M.
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