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
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
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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![**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:**
\[
\text{Molarity (M)} = \frac{\text{Moles of solute}}{\text{Liters of solution}}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F066bb5df-9069-4300-b122-0f92c568ce58%2F754b8ad3-8e10-4036-a7f0-9bf88e32c288%2Ft2bvbe_processed.jpeg&w=3840&q=75)
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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