6. What is the mass of 6.20 x 1025 atoms of sulfur?

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
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### Example Homework Problem:

**Question 6: What is the mass of \(6.20 \times 10^{25}\) atoms of sulfur?**

To solve this question, students will need to use the concept of molar mass and Avogadro's number. Here’s a step-by-step guide to help you:

1. **Determine Avogadro's Number:**
   Avogadro's number is \(6.022 \times 10^{23}\) atoms per mole.

2. **Find the Molar Mass of Sulfur:**
   The molar mass of sulfur (S) is approximately 32.07 grams per mole.

3. **Calculate the Number of Moles:**
   Number of moles (n) = \(\frac{\text{Number of atoms}}{\text{Avogadro's number}}\)

   \[
   n = \frac{6.20 \times 10^{25} \text{ atoms}}{6.022 \times 10^{23} \text{ atoms/mole}}
   \]

4. **Calculate the Mass:**
   Mass (m) = Number of moles × Molar mass

   \[
   m = n \times 32.07 \text{ g/mole}
   \]

Following these steps will allow you to find the mass of sulfur in grams. 

### Tips:
- Always ensure that your units cancel properly in each step to avoid errors.
- Remember to use significant figures based on the given data in the problem.
Transcribed Image Text:### Example Homework Problem: **Question 6: What is the mass of \(6.20 \times 10^{25}\) atoms of sulfur?** To solve this question, students will need to use the concept of molar mass and Avogadro's number. Here’s a step-by-step guide to help you: 1. **Determine Avogadro's Number:** Avogadro's number is \(6.022 \times 10^{23}\) atoms per mole. 2. **Find the Molar Mass of Sulfur:** The molar mass of sulfur (S) is approximately 32.07 grams per mole. 3. **Calculate the Number of Moles:** Number of moles (n) = \(\frac{\text{Number of atoms}}{\text{Avogadro's number}}\) \[ n = \frac{6.20 \times 10^{25} \text{ atoms}}{6.022 \times 10^{23} \text{ atoms/mole}} \] 4. **Calculate the Mass:** Mass (m) = Number of moles × Molar mass \[ m = n \times 32.07 \text{ g/mole} \] Following these steps will allow you to find the mass of sulfur in grams. ### Tips: - Always ensure that your units cancel properly in each step to avoid errors. - Remember to use significant figures based on the given data in the problem.
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