J.R. S. answered 04/08/20
Ph.D. University Professor with 10+ years Tutoring Experience
Total pressure x mole fraction = partial pressure
This can be written as Pt•χ = partial pressure
Rearranging, we find that χ = Partial pressure/Pt
Total pressure = 448.0 torr + 381.1 torr + 90.7 torr = 919.8 torr
χH2 = 448/919.8 = 0.487
χN2 = 381.1/919.8 = 0.414
χAr = 90.7/919.8 = 0.099