J.R. S. answered 04/26/21
Ph.D. University Professor with 10+ years Tutoring Experience
The total pressure is the sum of the partial pressures of each gas
PT = PHe + PN2 + PAr
Let's first convert all pressures to the same unit, say, atmospheres.
PHe = 2381 torr x 1 atm/760 torr = 3.13 atm
PN2 = X
PAr = 2249 mm Hg x 1 atm/760 mm Hg = 2.96 atm
PT = 12.0 atm
PT =12.0 atm = 3.13 atm + X atm + 2.96 atm
X = PN2 = 12.0 - 3.13 - 2.96
PN2 = 5.91 atm