Responses to Temperature Change Thermal Expansion (solids/liquids) Kinetic Theory (gases) Lesson 11 Lesson 11: Thermal Expansion & Kinetic Theory of Gases AP Physics B Objectives II.B.2. Heat transfer and thermal expansion Students should understand heat transfer and thermal expansion, so they can: a) Calculate how the flow of heat through a slab of material is affected by changes in the thickness or area of the slab, or the temperature difference between the two faces of the slab. b) Analyze what happens to the size and shape of an object when it is heated. II.C.1. Ideal Gases a) Students should understand the kinetic theory model of an ideal gas, so they can: (4) Explain qualitatively how the model explains the pressure of a gas in terms of collisions with the container walls, and explain how the model predicts that, for fixed volume, pressure must be proportional to temperature. Lesson 11: Thermal Expansion and Kinetic Theory of Gases Student Objectives Students will be able to 1. 2. Determine the thermal expansion of a material. Explain the kinetic theory of gases. Thermal Expansion When the temperature of a substance rises, its molecules move at higher speeds. Collisions with neighboring molecules are more energetic. Molecules use more space to move around. This causes most substances to expand when their temperature goes up. Mathematically: L = LoT L is change in length is coefficient of linear expansion Lo is original length of substance T is change in temperature Sample problem: If the Eiffel tower is 301 m tall on a day when the temperature is 22o C, how much does it shrink when the temperature drops to 0O C? The coefficient of linear expansion is 12 x 10-6 K-1 for the iron the tower is made from. What about when you raise the temperature of a gas? The kinetic energy increases with temperature, but because a gas is compressible, predicting how it will expand is more complicated than for a solid or a liquid. Gases are compressible and require a different approach – the Kinetic Theory of Gases 1. Gases consist of a large number of molecules that make elastic collisions with each other and the walls of the container. 2. Molecules are separated, on average, by large distances and exert no forces on each other except when they collide. 3. There is no preferred position for a molecule in the container, and no preferred direction for the velocity.