If 16.3 g of glycerol (C3H8O3) is dissolved in 1500.0 mL of solution, what is the molarity (M)? a. 1.06 M b. 0.0326 M c. 0.118 M d. 0.354 M e. 0.000354 M

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**Sample Chemistry Problem: Calculating Molarity**

**Problem Statement:** 
If 16.3 g of glycerol (C₃H₈O₃) is dissolved in 1500.0 mL of solution, what is the molarity (M)?

**Options:**

a. 1.06 M  
b. 0.0326 M  
c. 0.118 M  
d. 0.354 M  
e. 0.000354 M  

**Explanation:**
To solve this problem, follow these steps:

1. **Calculate the number of moles of glycerol:**

   - First, determine the molar mass of glycerol (C₃H₈O₃):
     \[
     \text{Molar mass} = 3(\text{Atomic mass of Carbon}) + 8(\text{Atomic mass of Hydrogen}) + 3(\text{Atomic mass of Oxygen})
     \]
     \[
     \text{Molar mass} = 3(12.01) + 8(1.01) + 3(16.00)
     \]
     \[
     \text{Molar mass} = 36.03 + 8.08 + 48.00
     \]
     \[
     \text{Molar mass} = 92.11 \, \text{g/mol}
     \]

   - Calculate the moles of glycerol using the formula:
     \[
     \text{Moles} = \frac{\text{Mass}}{\text{Molar mass}}
     \]
     \[
     \text{Moles} = \frac{16.3 \, \text{g}}{92.11 \, \text{g/mol}}
     \]
     \[
     \text{Moles} \approx 0.177 \, \text{mol}
     \]

2. **Convert the volume of solution from mL to L:**

   \[
   1500.0 \, \text{mL} = 1.500 \, \text{L}
   \]

3. **Calculate the molarity (M) using the formula:**

   \[
   \text{Molarity (M)} = \frac{\text{Moles of solute}}{\text{Liters of solution}}
   \]
Transcribed Image Text:**Sample Chemistry Problem: Calculating Molarity** **Problem Statement:** If 16.3 g of glycerol (C₃H₈O₃) is dissolved in 1500.0 mL of solution, what is the molarity (M)? **Options:** a. 1.06 M b. 0.0326 M c. 0.118 M d. 0.354 M e. 0.000354 M **Explanation:** To solve this problem, follow these steps: 1. **Calculate the number of moles of glycerol:** - First, determine the molar mass of glycerol (C₃H₈O₃): \[ \text{Molar mass} = 3(\text{Atomic mass of Carbon}) + 8(\text{Atomic mass of Hydrogen}) + 3(\text{Atomic mass of Oxygen}) \] \[ \text{Molar mass} = 3(12.01) + 8(1.01) + 3(16.00) \] \[ \text{Molar mass} = 36.03 + 8.08 + 48.00 \] \[ \text{Molar mass} = 92.11 \, \text{g/mol} \] - Calculate the moles of glycerol using the formula: \[ \text{Moles} = \frac{\text{Mass}}{\text{Molar mass}} \] \[ \text{Moles} = \frac{16.3 \, \text{g}}{92.11 \, \text{g/mol}} \] \[ \text{Moles} \approx 0.177 \, \text{mol} \] 2. **Convert the volume of solution from mL to L:** \[ 1500.0 \, \text{mL} = 1.500 \, \text{L} \] 3. **Calculate the molarity (M) using the formula:** \[ \text{Molarity (M)} = \frac{\text{Moles of solute}}{\text{Liters of solution}} \]
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