Question

PLEASE HELP MEDALS WILL BE AWARDED!!!

To prevent a condition called the “bends”, deep sea divers breathe a mixture containing, in mole percent, 10.0% O2, 10.0% N2 , and 80.0% He.
a. Calculate the molar mass of this mixture.
b. What is the ratio of the density of this gas to that of pure Oxygen?,

Answer 1

Mole percent of O2 = 10% = 0.1 moles
Mole percent of N2 = 10% = 0.1 moles
Mole percent of He = 80% = 0.8 moles
Molar Mass of O2 = (2 x 16) x 0.1 = 3.2
Molar Mass of N2 = (2 x 14) x 0.1 = 2.8
Molar Mass of He = 4 x 0.8 = 3.2
1. Molar Mass of the mixture = 3.2 + 2.8 + 3.2 = 9.2 grams
2. Since at constant volume density is proportional to mass, so the ratio of
mass will be the ratio of density.
Ratio = Molar Mass of the mixture / Molar Mass of O2 = 9.2 / 32 = 0.2875