A flask X contains 0.5 mole of oxygen gas. Another flask Y contains 0.4 mole of ozone gas. Which of the two flasks contains greater number of oxygen atoms?

Options

A. Flask X
B. Flask Y
C. Both have equal number of oxygen atoms.
D. Data is insufficient.

Explanation

To determine which flask contains a greater number of oxygen atoms, we need to analyze the number of moles of oxygen atoms in each flask.

### Step-by-Step Solution:

1. **Identify the gases in each flask**:
- Flask X contains oxygen gas (O₂).
- Flask Y contains ozone gas (O₃).

2. **Determine the number of moles of each gas**:
- Flask X has 0.5 moles of O₂.
- Flask Y has 0.4 moles of O₃.

3. **Calculate the number of oxygen atoms in Flask X**:
- Each molecule of O₂ contains 2 oxygen atoms.
- Therefore, the number of moles of oxygen atoms in Flask X is:
\[ \text{Moles of O atoms in X} = 0.5 \, \text{moles of O₂} \times 2 \, \text{(O atoms per O₂ molecule)} = 1.0 \, \text{moles of O atoms} \]
- To find the number of oxygen atoms, we multiply by Avogadro's number (approximately \(6.022 \times 10^{23}\)):
\[ \text{Number of O atoms in X} = 1.0 \, \text{moles} \times 6.022 \times 10^{23} \, \text{atoms/mole} \approx 6.022 \times 10^{23} \, \text{O atoms} \]

4. **Calculate the number of oxygen atoms in Flask Y**:
- Each molecule of O₃ contains 3 oxygen atoms.
- Therefore, the number of moles of oxygen atoms in Flask Y is:
\[ \text{Moles of O atoms in Y} = 0.4 \, \text{moles of O₃} \times 3 \, \text{(O atoms per O₃ molecule)} = 1.2 \, \text{moles of O atoms} \]
- To find the number of oxygen atoms, we multiply by Avogadro's number:
\[ \text{Number of O atoms in Y} = 1.2 \, \text{moles} \times 6.022 \times 10^{23} \, \text{atoms/mole} \approx 7.2264 \times 10^{23} \, \text{O atoms} \]

5. **Compare the number of oxygen atoms in both flasks**:
- Flask X contains approximately \(6.022 \times 10^{23}\) oxygen atoms.
- Flask Y contains approximately \(7.2264 \times 10^{23}\) oxygen atoms.

6. **Conclusion**:
- Since \(7.2264 \times 10^{23} > 6.022 \times 10^{23}\), Flask Y contains a greater number of oxygen atoms.

### Final Answer:
Flask Y contains a greater number of oxygen atoms.

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