Chemistry Help Please

Question

A tank contains a mixture of H2, N2 and O2 gases. If the total pressure in the tank is 586 kPa and the partial pressures of H2 and O2 are 215 mmHg and 2 atm, respectively, what is the partial pressure of N2?

Thank you

Answer 1

Total pressure = sum of partial pressures

Pt = PH2 + PN2 + PO2

Pt = 586 kPa x 1 atm/101.325 kPa = 5.78 atm

PH2 = 215 mm Hg x 1 atm/760 mm Hg = 0.283 atm

O2 = 2 atm

N2 = ?

5.78 atm = 0.283 atm + 2 atm + N2

N2 = 5.78 - 0.283 - 2

N2 = 3.497 atm = 3 atm (1 sig fig)