Answer:
4.9 kPa
Explanation:
Dalton's law of partial pressures states that the total pressure of a mixture of gases is the sum of the partial pressures of the individual gases.
In other words:
[tex]\displaystyle P_T = P_\text{O$_2$} + P_\text{N$_2$} + P_\text{He}[/tex]
The total pressure is 101.1 kPa. The partial pressure of He is 80.1 kPa. The partial pressure of N₂ is 16.2 kPa. Substitute and solve for O₂:
[tex]\displaystyle \begin{aligned} (101.2\text{ kPa}) & = P_\text{O$_2$} + (16.2\text{ kPa}) + (80.1\text{ kPa}) \\ \\ P_\text{O$_2$} & = 4.9\text{ kPa}\end{aligned}[/tex]
In conclusion, the partial pressure of oxygen in the balloon is 4.9 kPa.