Chapter 11 Preview Objectives Diffusion and Effusion

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Presentation transcript:

Chapter 11 Preview Objectives Diffusion and Effusion Section 4 Diffusion and Effusion Chapter 11 Preview Objectives Diffusion and Effusion Graham’s Law of Effusion

Chapter 11 Objectives Describe the process of diffusion. Section 4 Diffusion and Effusion Chapter 11 Objectives Describe the process of diffusion. State Graham’s law of effusion. State the relationship between the average molecular velocities of two gases and their molar masses.

Diffusion and Effusion Section 4 Diffusion and Effusion Chapter 11 Diffusion and Effusion The constant motion of gas molecules causes them to spread out to fill any container they are in. The gradual mixing of two or more gases due to their spontaneous, random motion is known as diffusion. Effusion is the process whereby the molecules of a gas confined in a container randomly pass through a tiny opening in the container.

Comparing Diffusion and Effusion Section 4 Diffusion and Effusion Chapter 11 Comparing Diffusion and Effusion Click below to watch the Visual Concept. Visual Concept

Graham’s Law of Effusion Section 4 Diffusion and Effusion Chapter 11 Graham’s Law of Effusion Rates of effusion and diffusion depend on the relative velocities of gas molecules. The velocity of a gas varies inversely with the square root of its molar mass. Recall that the average kinetic energy of the molecules in any gas depends only the temperature and equals . For two different gases, A and B, at the same temperature, the following relationship is true.

Graham’s Law of Effusion Section 4 Diffusion and Effusion Chapter 11 Graham’s Law of Effusion From the equation relating the kinetic energy of two different gases at the same conditions, one can derive an equation relating the rates of effuses of two gases with their molecular mass: This equation is known as Graham’s law of effusion, which states that the rates of effusion of gases at the same temperature and pressure are inversely proportional to the square roots of their molar masses.

Graham’s Law of Effusion Section 4 Diffusion and Effusion Chapter 11 Graham’s Law of Effusion Click below to watch the Visual Concept. Visual Concept

Equation for Graham’s Law of Effusion Section 4 Diffusion and Effusion Chapter 11 Equation for Graham’s Law of Effusion Click below to watch the Visual Concept. Visual Concept

Section 4 Diffusion and Effusion Chapter 11 Graham’s Law

Graham’s Law of Effusion, continued Section 4 Diffusion and Effusion Chapter 11 Graham’s Law of Effusion, continued Sample Problem J Compare the rates of effusion of hydrogen and oxygen at the same temperature and pressure.

Graham’s Law of Effusion, continued Section 4 Diffusion and Effusion Chapter 11 Graham’s Law of Effusion, continued Sample Problem J Solution Given: identities of two gases, H2 and O2 Unknown: relative rates of effusion Solution: The ratio of the rates of effusion of two gases at the same temperature and pressure can be found from Graham’s law.

Graham’s Law of Effusion, continued Section 4 Diffusion and Effusion Chapter 11 Graham’s Law of Effusion, continued Sample Problem J Solution, continued Substitute the given values into the equation: Hydrogen effuses 3.98 times faster than oxygen.

End of Chapter 11 Show