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What is the mass in g of 8.563x1042 molecules of CH3NH₂?

What is the mass in g of 8.563x1042 molecules of CH3NH₂?

Chemistry
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:** What is the mass in grams of \(8.563 \times 10^{42}\) molecules of \( \text{CH}_3\text{NH}_2 \)? **Explanation:** To find the mass of a given number of molecules, we can use the following steps: 1. **Calculate the molar mass of \( \text{CH}_3\text{NH}_2 \):** - Carbon (C): 12.01 g/mol - Hydrogen (H): 1.01 g/mol - Nitrogen (N): 14.01 g/mol Molar mass of \( \text{CH}_3\text{NH}_2 \) = \( 12.01 + (4 \times 1.01) + 14.01 = 31.06 \) g/mol 2. **Use Avogadro's number to find the number of moles:** - Avogadro's number: \( 6.022 \times 10^{23} \) molecules/mol Number of moles = \( \frac{8.563 \times 10^{42}}{6.022 \times 10^{23}} \) 3. **Calculate the mass:** - Mass = Number of moles \(\times \) Molar mass This will give you the mass in grams of \(8.563 \times 10^{42}\) molecules of \( \text{CH}_3\text{NH}_2 \).
Transcribed Image Text:**Question:** What is the mass in grams of \(8.563 \times 10^{42}\) molecules of \( \text{CH}_3\text{NH}_2 \)? **Explanation:** To find the mass of a given number of molecules, we can use the following steps: 1. **Calculate the molar mass of \( \text{CH}_3\text{NH}_2 \):** - Carbon (C): 12.01 g/mol - Hydrogen (H): 1.01 g/mol - Nitrogen (N): 14.01 g/mol Molar mass of \( \text{CH}_3\text{NH}_2 \) = \( 12.01 + (4 \times 1.01) + 14.01 = 31.06 \) g/mol 2. **Use Avogadro's number to find the number of moles:** - Avogadro's number: \( 6.022 \times 10^{23} \) molecules/mol Number of moles = \( \frac{8.563 \times 10^{42}}{6.022 \times 10^{23}} \) 3. **Calculate the mass:** - Mass = Number of moles \(\times \) Molar mass This will give you the mass in grams of \(8.563 \times 10^{42}\) molecules of \( \text{CH}_3\text{NH}_2 \).
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