Solve for the following problems. Write the given and solution.

Question

1. A mixture of N2 and H2 gases to be used for ammonia production exerts a pressure of 4.0 atm. If the mole fraction of N2 in the mixture is 0.55, what is the individual pressure of H2 in the mixture?

Answer 1

Production of ammonia (NH3) from nitrogen (N2) and hydrogen (H2):

N₂ + 3H₂ ==> 2NH₃

Dalton's Law of Partial Pressures

Total pressure of N₂ + H₂ = 4.0 atm = partial pressure N₂ + H₂

mole fraction N₂ = 0.55

mole fraction H₂ = 1.00 - 0.55 = 0.45

partial pressure of H₂ = mol fraction H2 x total pressure

partial pressure of H₂ = 0.45 x 4.0 atm

partial pressure of H₂ = 1.8 atm