J.R. S. answered 04/16/20
Ph.D. University Professor with 10+ years Tutoring Experience
When working with gases and the gas laws, you always want to use MOLES, not grams. So, first thing is we need to convert mass of gas to moles of gas.
moles N2 = 2.80 g x 1 mol/28 g = 0.1 moles N2
moles H2 = 0.403 g x 1 mol/2 g = 0.2015 moles H2
moles Ar = 79.9 g x 1 mol/39.95 g = 2.00 moles Ar
Since the questions asks only for the pressure of the hydrogen gas, we can simply plug the moles of H2(g) into the Ideal Gas Law equation and solve for pressure. We didn't need to find moles of the other gases. But if you want the total pressure of the system, you could add all moles together, plug that into the equation and solve for P.
PV = nRT
P = pressure = ?
V = volume = 10.0 L
n = moles of H2(g) = 0.2015
R = gas constant = 0.0821 L-atm/K-mol
T = temperature in K = 25ºC + 273 = 298K (I believe you meant 25 and not 250 C)
Solving for P (pressure) we obtain:
P = nRT/V = (0.2015 mol)(0.0821 Latm/Kmol)(298K) / 10.0 L
P = 0.493 atmospheres = pressure of H2(g)