You dissolve 14 g of gv03/2 in water and dilute to 750 mL. What is the molarity of this solution? Show your work.

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### 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.
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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