chem homework please help

Question

Suppose that Daniel has a  L bottle that contains a mixture of , , and  under a total pressure of  atm. He knows that the mixture contains  mol  and that the partial pressure of  is  atm. If the temperature is  K, what is the partial pressure of ?

Answer 1

Using the ideal gas law, we can find the total moles of gas present:

PV = nRT

n = PV/RT = (4.90 atm)(3.00 L)/(0.0821 Latm/Kmol)(273K)

n = 0.656 moles of gas

Find pressure of N₂:

mole fraction N₂ = 0.270 mol/0.656 mol = 0.412

Pressure of N₂ = mole fraction x total pressure = 0.412 x 4.90 = 2.02 atm

Since total pressure = pressure O₂ + pressure N₂ + pressure CO₂, we can now find the partial pressure O₂:

4.90 atm - 2.02 atm - 0.350 atm = 2.53 atm