SECTION 10.1 The Kinetic-Molecular Theory of Matter Teacher Notes and Answers 2.Real gases approach ideal gas behavior at high SECTION 1 The Kinetic-Molecular Theory of Matter 3.H2 O, NH3, and HCl would deviate from ideal 1.The kinetic energy of a single particle in a gas is always greater than zero. 2.faster 3.Real gas particles feel some slight attractive forces from other particles. In an ideal gas, the particles move randomly and independently. Review 1.An ideal gas is a hypothetical gas that fits temperatures and low pressures. behavior because they are polar. 4.Pressure exerted by gases is caused by collisions of the gas molecules with a surface. 5.Gas particles are pushed closer together. 6.Gas particles move more rapidly, increasing their average kinetic energy. 7.The lower mass of hydrogen molecules means that they are traveling at higher speeds, so it is easier for them to escape the force of gravity. perfectly all the assumptions of the kinetic theory. S tat e s o f M at t e r 1 SECTION 10.1 The Kinetic-Molecular Theory of Matter In the late nineteenth century, scientists developed a theory to account for the particles that make up matter. This theory explains the differences between the three states of matter: solid, liquid, and gas. The kinetic-molecular theory is based on the idea that particles of matter are always in motion. The properties of solids, liquids, and gases are a result of the energy of their particles and forces acting between the particles. Key Terms kinetic-molecular theory ideal gas elastic collision diffusion effusion real gas The kinetic-molecular theory explains the constant motion of gas particles. The kinetic-molecular theory provides a model of what is called an ideal gas. An ideal gas is a theoretical gas that perfectly fits these five assumptions of the kinetic-molecular theory. 1. Gases consist of large numbers of tiny particles that are far apart relative to their size. Most of the volume occupied by a gas is empty space. 2. Collisions between particles or a particle and a container are elastic. In an elastic collision no kinetic energy is lost, but energy may be transferred between particles. A gas exerts pressure on its container through the collisions of its particles with the container. 3. Gas particles are always in motion, so they always have kinetic energy. They can move freely in all directions. 4. There are no forces of attraction between particles. They behave like billiard balls. When they collide they immediately bounce apart, instead of sticking together. 5. The temperature of a gas depends on the average kinetic energy of its particles. If the temperature of a gas increases, the average speed of its particles increases. If it decreases, the average speed of its particles decreases. 2 C H A P TER 1 0 Gas particles travel in straight lines until they collide with each other or a container wall. READING CHECK 1. What is always true about the kinetic energy of a single particle in a gas? Kinetic Energy and Temperature The kinetic energy of any moving object is given by the following equation. KE = __ 1 mv2 2 The quantity m is the mass of the particle and v is the speed of the particle. In a specific gas, the mass of each particle is the same, so the kinetic energy of the gas, and thus its temperature, depends only on the speed of the particles. READING CHECK 2. If the temperature of a gas increases, then its particles move . In a mixture of gases, the particles of each gas have the same temperature and the average kinetic energy. Consider such a mixture of hydrogen gas and oxygen gas. The hydrogen particles are moving much faster on average than the oxygen particles because they have less mass. The kinetic-molecular theory explains the constant motion of gas particles. (a) The kinetic-molecular theory states that particles in an ideal gas are always moving. This section will describe how the theory explains the physical properties of an ideal gas. Expansion Gases do not have a definite shape or volume. The particles move randomly until they fill any container. A gas that enters a container twice as large expands to fill the new container. Fluidity Particles in a gas feel no attractive forces, so they slide past each other. In other words, gases flow in the same way that liquids flow. Both gases and liquids are referred to as fluids. (b) (a) Gas particles expand to fill the cylinder when the piston is raised. (b) Lowering the piston exerts pressure on the gas, compressing it into a smaller volume. Low Density Gases have a very low density compared to liquids and solids. Gas particles typically occupy a volume 1000 times greater than an equal number of particles in a liquid or solid. Compressibility A compression is a reduction in volume. Because particles in a gas are so far apart, the volume of a gas can be dramatically decreased. Gases are often kept compressed in high-pressure steel cylinders for industrial purposes. These cylinders can hold over 100 times more gas than unpressurized cylinders. Gas cylinders used in scuba diving hold compressed air so that the diver can carry more air at one time. S tat e s o f M at t e r 3 final 4-12 -11 LKell Diffusion and Effusion Diffusion is the mixing of the particles of two substances caused by their random motions. Because gas particles are so spread out, two gases that are released into a container can easily occupy the same space. The gases will mix together just through the natural motion of their particles; they do not require additional stirring. Gas particles passing through a tiny opening is called effusion. The rate of effusion depends on the velocities of the particles. A low-mass gas such as hydrogen effuses through an opening more rapidly N2 H2in a mixture, because its particles than other gases Stopcock travel at higher speeds at a givenclosed temperature. H2 N2 Stopcock closed (a) (b) Stopcock open Real gases do not behave according to the kinetic-molecular theory. (a) (b) The kinetic-molecular theory only applies to ideal gases. However, ideal gases do not actually exist. Kineticmolecular theory is still useful because, as long as the pressure is not too high or the temperature too low, many gases behave like ideal gases. A real gas is a gas that does not behave completely according to the assumptions of kinetic-molecular theory. Real gas particles feel some attractive forces from other particles. These effects are minor, unless the temperature is low or the pressure is high. Then the particles are either too close together or do not have enough energy to escape the influence of attractive forces. Noble gases such as helium and neon behave more like ideal gases because their particles have little attraction for each other. These gases consist of monatomic particles, which are neutrally charged and stable. For the same reason, nonpolar gases such as hydrogen and nitrogen also behave like ideal gases. Gases with polar molecules, such as water vapor and ammonia, deviate the most from ideal gas behavior because of attractive forces between the molecules. 4 C H A P TER 1 0 Gases diffuse readily into one another. When the stopcock is open, both gases act as if they are occupying an identical, larger container and spread out to fill the entire volume together. READING CHECK 3. What is the difference between an ideal gas and a real gas? SECTION 10.1 REVIEW VOCABULARY 1. What is an ideal gas? REVIEW 2. Describe the conditions under which a real gas is most likely to behave ideally. 3. Which of the following gases would you expect to deviate significantly from 2, HCl, or NH3 ? ideal behavior: He, O 2, H2, H2O, N 4. How does kinetic-molecular theory explain the pressure exerted by gases? 5. What happens to gas particles when a gas is compressed? 6. What happens to gas particles when a gas is heated? Critical Thinking 7. DRAWING CONCLUSIONS Molecules of hydrogen escape from Earth, but molecules of oxygen and nitrogen are held to the surface and remain in the atmosphere. Explain. S tat e s o f M at t e r 5
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