The mole fraction of Ar in the flask is 0.116
We'll begin by calculating the total pressure in the flask
Partial pressure of Ne = 5.55 atm
Partial pressure of Ar = 1.79 atm
Partial pressure of He = 8.13 atm
Total pressure = 5.55 + 1.79 + 8.13
Total pressure = 15.47 atm
Partial pressure of Ar = 1.79 atm
Mole fraction = Partial pressure / Total pressure
Mole fraction of Ar = 1.79 / 15.47
Therefore, the mole fraction of Ar in the flask is 0.116
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