Dalton's Law and Ideal Gas Law Notes

Calculating Partial Pressure
  • The partial pressure of a gas (e.g., oxygen, O<em>2O<em>2) can be calculated as: PartialPressure</em>O<em>2=Pressure</em>exerted by O2Total PressurePartial Pressure</em>{O<em>2} = \frac{Pressure</em>{exerted \ by \ O_2}}{Total \ Pressure}

  • In a mixture, the total pressure is the sum of individual gas pressures.

P<em>total=P</em>O<em>2+P</em>N<em>2+P</em>Ar+P<em>H</em>2O+P<em>{total} = P</em>{O<em>2} + P</em>{N<em>2} + P</em>{Ar} + P<em>{H</em>2O} + …

Calculating Percentage of Total Pressure
  • To find the percentage of the total pressure exerted by a gas:

Percentage=Partial Pressure of GasTotal Pressure×100Percentage = \frac{Partial \ Pressure \ of \ Gas}{Total \ Pressure} \times 100

  • Example for oxygen:

Percentage of O2=20.9 kPa101.3 kPa0.206320.63%Percentage \ of \ O_2 = \frac{20.9 \ kPa}{101.3 \ kPa} \approx 0.2063 \approx 20.63 \%

  • This calculation can be done for each gas in the mixture.