J.R. S. answered 10/21/22
Ph.D. University Professor with 10+ years Tutoring Experience
Daltons law of partial pressures.
The total pressure is equal to the sum of the partial pressures of all the gases present.
In this problem, we have different units of pressure. We have a total P of 21.0 atmospheres.
We have 2427 torr for He and we have 1787 mm Hg for Ar. We will convert all of them to atmospheres.
Ptotal = 21.0 atm
PHe = 2427 torr x 1 atm / 760 torr = 3.19 atm
PAr = 1787 mm Hg x 1 atm / 760 mm Hg = 2.35 atm
PN2 = ?
Daltons law: Ptotal = PHe + PAr + PN2
21.0 = 3.19 + 2.35 + PN2
PN2 = 15.5 atm