Question

How many oxygen atoms are there in 22.0g of co2

Answer 1

To determine the number of oxygen atoms in 22.0 g of carbon dioxide (CO₂), follow these steps:

1. **Calculate the molar mass of CO₂**:
- Carbon (C) has a molar mass of approximately 12.01 g/mol.
- Oxygen (O) has a molar mass of approximately 16.00 g/mol.
- The molar mass of CO₂ = 1 × (molar mass of C) + 2 × (molar mass of O)
- Molar mass of CO₂ = 12.01 g/mol + 2 × 16.00 g/mol = 12.01 g/mol + 32.00 g/mol = 44.01 g/mol.

2. **Calculate the number of moles of CO₂ in 22.0 g**:
\[
\text{Number of moles} = \frac{\text{mass}}{\text{molar mass}} = \frac{22.0 \text{ g}}{44.01 \text{ g/mol}} \approx 0.500 \text{ moles of CO₂}
\]

3. **Determine the number of oxygen atoms**:
- Each molecule of CO₂ contains 2 oxygen atoms.
- Therefore, the number of moles of oxygen in 0.500 moles of CO₂ is:
\[
0.500 \text{ moles of CO₂} \times 2 = 1.000 \text{ moles of O}
\]

4. **Convert moles of oxygen to atoms**:
- Use Avogadro's number (approximately \(6.022 \times 10^{23}\) atoms/mol):
\[
\text{Number of oxygen atoms} = 1.000 \text{ moles of O} \times 6.022 \times 10^{23} \text{ atoms/mol} \approx 6.022 \times 10^{23} \text{ oxygen atoms}
\]

Thus, there are approximately \(6.022 \times 10^{23}\) oxygen atoms in 22.0 g of CO₂.