Explanation:
The given data is as follows.
Moles of oxygen gas = 0.150 mol, Moles of nitrogen gas = 0.116 mol
Moles of argon gas = 0.211 mol, Volume of the flask = 0.5 L
Temperature = 298 K
So, total number of moles will be calculated as follows.
= (0.150 + 0.116 + 0.211) mol
= 0.477 mol
Now, using ideal gas equation we will calculate the total pressure of given gas mixture as follows.
PV = nRT
P = 23.34 atm
Mole fraction of gas will be calculated as follows.
Mole fraction =
=
= 0.243
Using Dalton's law,
where, = partial pressure of a gas
= total pressure
= mole fraction of gas
Therefore, putting the values into Dalton's law to calculate the partial pressure of nitrogen gas as follows.
=
= 5.67 atm
Thus, we can conclude that the partial pressure of into the given mixture is 5.67 atm.