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
![**Calculate the Mass in Grams of Methanol**
Given:
- **Number of molecules:** \(3.65 \times 10^{24}\) molecules of methanol.
- **Chemical formula for methanol:** \(CH_4O\).
**Objective:**
Calculate the mass in grams.
**Mass:**
\[ \underline{\qquad\qquad\qquad} \text{ g} \]
**Explanation:**
To calculate the mass:
1. **Determine molar mass** of methanol (\(CH_4O\)):
- Carbon (C): 12.01 g/mol
- Hydrogen (H): 1.01 g/mol × 4 = 4.04 g/mol
- Oxygen (O): 16.00 g/mol
- Total molar mass of \(CH_4O\): 12.01 + 4.04 + 16.00 = 32.05 g/mol
2. **Use Avogadro's number** (\(6.022 \times 10^{23}\)) to convert molecules to moles.
3. **Mass calculation:**
\[
\text{Moles of methanol} = \frac{3.65 \times 10^{24}}{6.022 \times 10^{23}} = \text{approximately 6.06 moles}
\]
\[
\text{Mass} = \text{moles} \times \text{molar mass} = 6.06 \times 32.05 = \text{approximately 194.4 g}
\]
Insert the calculated mass into the provided space.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F001c17ff-6363-447a-9d7d-3a1acbe3fea8%2F2124e794-bb7a-4df3-84d7-41a5d3a53117%2F546kipx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Calculate the Mass in Grams of Methanol**
Given:
- **Number of molecules:** \(3.65 \times 10^{24}\) molecules of methanol.
- **Chemical formula for methanol:** \(CH_4O\).
**Objective:**
Calculate the mass in grams.
**Mass:**
\[ \underline{\qquad\qquad\qquad} \text{ g} \]
**Explanation:**
To calculate the mass:
1. **Determine molar mass** of methanol (\(CH_4O\)):
- Carbon (C): 12.01 g/mol
- Hydrogen (H): 1.01 g/mol × 4 = 4.04 g/mol
- Oxygen (O): 16.00 g/mol
- Total molar mass of \(CH_4O\): 12.01 + 4.04 + 16.00 = 32.05 g/mol
2. **Use Avogadro's number** (\(6.022 \times 10^{23}\)) to convert molecules to moles.
3. **Mass calculation:**
\[
\text{Moles of methanol} = \frac{3.65 \times 10^{24}}{6.022 \times 10^{23}} = \text{approximately 6.06 moles}
\]
\[
\text{Mass} = \text{moles} \times \text{molar mass} = 6.06 \times 32.05 = \text{approximately 194.4 g}
\]
Insert the calculated mass into the provided space.
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