Dalton’s Law Ptotal = P1 + P2 + P3 + . . . Dalton’s Law The pressure of each component is called the partial pressure of that component. Dalton’s Law For example: If we have a flask containing nitrogen gas, whose partial pressure is .78 atm and oxygen gas, whose partial pressure is .20 atm, the total pressure in the flask is Ptotal = PN2 + PO2 Ptotal = .78 + .20 = .98 atm Dalton’s Law Another way to think about this is through the use of the mole fraction. The mole fraction is rather like calculating the percent of each component. Dalton’s Law The mole fraction is written as follows aN2 = moles N2 total moles This is basically the percent (by number) of some element. Dalton’s Law We can rearrange Dalton’s Law to use the mole fraction as follows: Px = ax (Ptotal) Or specifically: PN2 = aN2 (Ptotal) Dalton’s Law For example: ordinary air contains 78.084% nitrogen. We might be interested in knowing what the partial pressure of nitrogen is in the atmosphere. Dalton’s Law The mole fraction of N2 must be .78084, so PN2 = .78084(Ptotal) If the atmospheric pressure is 640 torr, PN2 = .78084(640) = 500 torr Composition of Air 78.084% 20.948% .934% .0315% .001818% .000524% .000114% .0000087% Nitrogen Oxygen Argon Carbon dioxide Neon Helium Krypton Xenon