Dalton’s Law of Partial Pressures What is a partial pressure? How do we measure partial pressure? Partial Pressures • If container contains only one gas, then molecules exert all the same force. – Ex. Cylinder of O2 Gas - only O2 molecules • If container contains several gases, then molecules exert a part of the total force. – Ex. Compressed CO2 Gas - both C and O2 molecules creating forces In other words…. • The total pressure in a container is the sum of the partial pressures of all the gases in the container. Ptotal = P1 + P2 + . . . Pn • Intermolecular Forces between gas particles are considered to be negligible. • Partial Pressure of any gas is independent of the presence of any other gas in the container. • Gases in a single container are all at the same temperature and have the same volume … meaning T and V are constants! •Partial Pressures measured in the same units as identified from the total pressure. Let’s work an example! Example- A mixture of oxygen, hydrogen and nitrogen gases exerts a total pressure of 278 kPa. If the partial pressures of the oxygen and the hydrogen are 112 kPa and 101 kPa respectively, what would be the partial pressure exerted by the nitrogen. Ptotal = P1 + P2 + . . . Pn 278 kPa = 112 kPa + 101 kPa + Pnitrogen Pnitrogen = 278 kPa - (112 kPa + 101 kPa) Pnitrogen = 65 kPa Let’s make up our own container of several gases and determine the partial pressures of our gases! Are you a gas molecule today? SUMMARY • Review Concept Map • Homework- Calculate Partial Pressures from Worksheet for tomorrow! Graham’s Law of Effusion - Discovered by Thomas Graham, 1830s - relates the rate of effusion to the mass of gas particles - rate is inversely proportional to the square root of the mass of its particles. - at constant temp and pressure DEMONSTRATION Cotton plugs with ammonia and hydrogen chloride are placed an ends of glass tubing. What is the white ring being formed? Why does the white ring form closer to the right end than the left? ANSWER! Ammonia (molar mass about 17 g) is diffusing more quickly than the hydrogen chloride (molar mass about 36 g). PROBLEMS 1. Compare the rates of effusion of hydrogen and oxygen at the same temp and pressure. 2. A sample of hydrogen effuses through a porous container about 9 times faster than an unknown gas. Estimate the molar mass of the unknown gas.