To calculate the percentage of oxygen in a given volume of air at a specific pressure, we need to know the composition of air and the partial pressure of oxygen. The composition of air typically consists of approximately 21% oxygen, 78% nitrogen, and small amounts of other gases.
At standard atmospheric pressure (1 bar), the partial pressure of oxygen is approximately 0.21 bar. However, in the given scenario where the air is at 5 bars, we need to calculate the partial pressure of oxygen at this pressure.
Assuming that the composition of air remains the same, we can use Dalton's law of partial pressures, which states that the total pressure exerted by a mixture of non-reacting gases is equal to the sum of the partial pressures of the individual gases.
Therefore, if the total pressure is 5 bars and the partial pressure of oxygen at standard atmospheric pressure is 0.21 bar, we can calculate the partial pressure of oxygen at 5 bars as follows:
Partial pressure of oxygen at 5 bars = (Partial pressure of oxygen at standard atmospheric pressure) x (Total pressure at 5 bars / Standard atmospheric pressure)
Partial pressure of oxygen at 5 bars = 0.21 bar x (5 bars / 1 bar) = 1.05 bar
Now that we have the partial pressure of oxygen at 5 bars, we can calculate the percentage of oxygen in the given volume of air (5 liters). However, it's important to note that the volume of the container doesn't affect the percentage of oxygen in the air. The percentage remains the same regardless of the volume.
Given that the percentage of oxygen in air is approximately 21%, the percentage of oxygen in 5 liters of air at 5 bars would also be approximately 21%.