To find the number of moles of oxygen in one liter of air containing 21% oxygen by volume, we can use the ideal gas law and the concept of molar volume at standard conditions.
Calculating Moles of Oxygen
At standard temperature and pressure (STP), one mole of any gas occupies approximately 22.4 liters. Given that air contains 21% oxygen, we can calculate the moles of oxygen in one liter of air as follows:
- Volume of oxygen in 1 liter of air = 21% of 1 liter = 0.21 liters
- Moles of oxygen = Volume of oxygen / Molar volume at STP
- Moles of oxygen = 0.21 liters / 22.4 liters/mole
Now, performing the calculation:
Moles of oxygen = 0.21 / 22.4 ≈ 0.0093 moles
Final Answer
Thus, the number of moles of oxygen in one liter of air is approximately 0.0093 moles. Therefore, the correct option is (A).