Calculate the number of atoms of C in 41.2 grams of C₆H₁₂O₆.


To calculate the number of carbon atoms in 41.2 grams of \( \text{C}_6\text{H}_{12}\text{O}_6 \) (glucose), we'll follow these steps:

1. **Find the molar mass of \( \text{C}_6\text{H}_{12}\text{O}_6 \)**:
   - Carbon (C): 12.01 g/mol
   - Hydrogen (H): 1.01 g/mol
   - Oxygen (O): 16.00 g/mol

   \[
   \text{Molar mass of } \text{C}_6\text{H}_{12}\text{O}_6 = 6(12.01) + 12(1.01) + 6(16.00) = 72.06 + 12.12 + 96.00 = 180.18 \text{ g/mol}
   \]

2. **Determine the number of moles of \( \text{C}_6\text{H}_{12}\text{O}_6 \) in 41.2 grams**:

   \[
   \text{Moles of } \text{C}_6\text{H}_{12}\text{O}_6 = \frac{41.2 \text{ g}}{180.18 \text{ g/mol}} \approx 0.2286 \text{ mol}
   \]

3. **Calculate the number of moles of carbon atoms**:
   - Each molecule of \( \text{C}_6\text{H}_{12}\text{O}_6 \) contains 6 carbon atoms.
   - Therefore, the number of moles of carbon atoms is \( 6 \times 0.2286 \text{ mol} = 1.3716 \text{ mol} \).

4. **Convert moles of carbon atoms to the number of atoms**:
   - Use Avogadro's number: \( 6.022 \times 10^{23} \) atoms/mol.

   \[
   \text{Number of carbon atoms} = 1.3716 \text{ mol} \times 6.022 \times 10^{23} \text{ atoms/mol} \approx 8.26 \times 10^{23} \text{ atoms}
   \]

So, the number of carbon atoms in 41.2 grams of \( \text{C}_6\text{H}_{12}\text{O}_6 \) is approximately \( 8.26 \times 10^{23} \) atoms.

Would you like more details or have any questions?

Here are some related questions you might find interesting:

1. How many molecules of \( \text{C}_6\text{H}_{12}\text{O}_6 \) are in 41.2 grams?
2. What is the number of hydrogen atoms in 41.2 grams of \( \text{C}_6\text{H}_{12}\text{O}_6 \)?
3. How many oxygen atoms are present in 41.2 grams of \( \text{C}_6\text{H}_{12}\text{O}_6 \)?
4. How would the number of carbon atoms change if the mass of \( \text{C}_6\text{H}_{12}\text{O}_6 \) was doubled?
5. What is the total number of atoms (C, H, and O) in 41.2 grams of \( \text{C}_6\text{H}_{12}\text{O}_6 \)?

**Tip:** Remember to always check the units at each step of your calculations to avoid errors.

Calculate the number of atoms of C in 41.2 grams of C₆H₁₂O₆.

Learn how to calculate the number of carbon atoms in 41.2 grams of glucose (C₆H₁₂O₆) using stoichiometry, molar mass, and Avogadro's number. Follow a step-by-step solution that includes calculating molar mass, determining moles, and converting moles to atoms. Suitable for high school students in Grades 10-12.

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