1. Effusion and Diffusion Chapter 11.4 Objective: State Graham’s Law of effusion Determine the relative rates of effusion of two gases of known molar masses. State the relationship between the molecular velocities of two gases and their molar masses.
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4. The rates of effusion of gases at the same temperature and pressure are inversely proportional to the square roots of their molar masses.= vB2 MA vA MB = vB MA
5. Application of Graham’s Law Lighter gases (lower Molar mass or densities) diffuse faster than heavier gases. Also provides a method for determining molar masses. Rates of effusion of known and unknown gases can be compared to one another Rates of effusion of different gases
6. Problem 1 Compare the rates of effusion of hydrogen and oxygen at the same temperature and pressure. 32.00 g/mol Rate of effusion of H2 MO2 = 3.98 = = Rate of effusion of O2 2.02 g/mol MH2 ***Remember that the molar masses are inversely related ***Find the molar masses of each ***Expressed like this Hydrogen effuses 3.98 times faster than oxygen
7. Problem 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. Rate of effusion of H2 Munknown = Rate of effusion of unknown MH2 2 Munknown 2 = 9 2.02 g/mol Munknown 81 = x 2.o2 g/mol 2.o2 g/mol x 2.02 g/mol Munknown = 160 g/mol