Chapter 10 - Physical Characteristics of Gases 10-1 The Kinetic-Molecular Theory of Matter A. - Intro 1. The kinetic-molecular theory is based on the idea that _________________ of _________________ are always in _________________. The theory can be used to explain the _____________________ of solids, liquids, and gases in terms of the ____________________ of particles and the __________________ that act between them. B. - The Kinetic-Molecular Theory of Gases 1. The theory provides a _____________ of what is called an _______________ ____________. 2. An ideal gas is an ______________________ gas that _____________________ fits all the assumptions of the kinetic-molecular theory. 3. The kinetic-molecular theory of gases is based on the following _____________ assumptions: a. Gases consist of ______________ numbers of __________ particles that are _______ _________ relative to their ______________. Gases typically occupy a volume about __________ times greater than the volume in the _______________ or _____________ state. Most of the volume occupied by a gas is ______________ _______________. b. _____________________ between gas particles and between particles and container _________ are _____________________ collisions. An elastic collision is one in which there is no ________ __________ of __________________ ___________________. The total __________________ __________________ of the two particles remains _______ __________ as long as the temperature is ______________________. c. Gas particles are in _________________, _______________, _______________ motion. They therefore possess ___________________ energy, which is the energy of ____________. d. There are no forces of _______________________ or _____________________ between gas particles. When they collide, they do not ____________ ________________, but immediately ________________ ______________. e. The __________________ kinetic energy of gas particles depends on the ____________________ of the gas. Write the equation for kinetic energy, and label all of the variables: All gases at the same ______________________ have the same _________________ kinetic energy. C. - The Kinetic-Molecular Theory and the Nature of Gases 1. Many gases behave _____________ ideally if pressure is not _________ __________ or temperature is not __________ __________. 2. Expansion: Gases do not have a _________________ shape or a __________________ volume. They _________________ fill any container in which they are enclosed, and they take its ____________ 3. Fluidity: Because the __________________ forces between gas particles are ________________________, gas particles ______________ easily past one another. Because liquids and gases flow, they are both referred to as __________________. 4. Low Density: The density of a substance in the gaseous state is about __________________ the density of the same substance in the liquid or solid state. 5. Compressibility: The volume of a sample of gas can be _____________ ____________________. 6. Diffusion and Effusion: Gases ______________ __________ and ________ with one another, even without being _________________. a. Diffusion is the _______________________ mixing of the particles of two substances caused by their ________________ motion. The rate of diffusion of one gas through another depends on ____________ properties of the gas particles: their _____________, their __________________, and the __________________ forces between them b. Effusion is a process by which gas particles under _________________ pass through a ________ ____________________. The rates of effusion are ___________________ proportional to the ___________________ of their particles. Molecules of ________ mass effuse _______________ than molecules of ____________ mass. 1 D. - Deviations of Real Gases from Ideal Behavior 1. All ___________ gases deviate to some degree from ___________-gas behavior. 2. A real gas is a gas that does not behave _______________________ according to the ________________ of the kinetic-molecular theory. At very high ________________________ and low ___________________ the deviation may be _______________________. 3. The kinetic-molecular theory is more likely to ___________ ___________ for gases whose particles have little __________________ for each other. The more _______________ a gas's molecules are, the greater the ______________________ forces between them and the more the gas will _______________ from ideal gas behavior. 10-2 Pressure A. - Pressure and Force 1. Pressure is defined as the ______________ per unit of _________ on a surface. Write the equation defining pressure: ___________ = _____________ 2. Gas molecules exert pressure on any _________________ with which they _______________. The pressure exerted by a gas depends on _______________, ______________________, and the number of ______________________ present. 3. A barometer is a device used to measure _________________________ pressure. The first barometer was introduced by Evangelista ___________________ during the early ____________. 4. From experiments like ______________________, it is known that at _______ level at ____ °C, the average pressure of the _____________________ can support a __________mm column of mercury. 5. A common unit of pressure is ___________________ of ________________, symbolized ____________. 6. Pressures are often measured in units of ________________________. a. One ___________________ of pressure (_______) is defined as being exactly _______________. 7. In SI, pressure is measured in derived units called _______________. a. One _______________ (_____) is defined as the pressure exerted by a force of one ______________ acting on an area of one _______________ _______________. b. 1 atm = _______________kPa 8. For purposes of ______________________, scientists have agreed on standard conditions of exactly ___________ pressure and ________. These conditions are called Standard Temperature and Pressure and are commonly abbreviated ___________. 10-3 The Gas Laws A. - Boyle's Law: Pressure-Volume Relationship 1. Boyle's Law states that the __________________ of a fixed mass of gas varies _________________ with the pressure at _________________ temperature. Mathematically, Boyle's law is expressed as: ______ = k a. The value of ____ is constant and depends only on the ___________ of gas and the _____________________. 2. The graph of the Boyle's law relationship is (circle one): linear parabolic hyperbolic 3. Write the equation relating P1, V1, P2 and V2: ___________ = ___________ How many of the variables must be known in order to solve for one unknown?_______ *** On a separate piece of paper, answer Chapter Review Problems #20 - 24 from page 328. Attach your work and answers to THIS PAGE! 2 B. - Charles's Law: Volume-Temperature Relationship 1. The experiments of Jacques Charles showed that all gases ________________ to the same extent when __________________ through the same temperature interval. Charles found that the volume changes by ___________ of the original volume for each ______________ degree, at constant __________________ and an initial temperature of ________. a. Given that you have 1 liter of a gas at 0°C, what would be the new volume of the gas at 15°C? New volume = __________________liters 2. The same regularity occurs if a gas is _____________________ at constant pressure. At this rate of volume ____________________, a gas cooled from ______ to __________ would have ________ volume, which is not _____________ _________________. 3. The Kelvin temperature scale is a scale that starts at a temperature corresponding to ____________. That temperature is the _______________ one possible. It is also referred to as __________________ zero and is given a value of _________ in the Kelvin scale. For theoretical calculations in this book, _________ is rounded off to ___________. Convert each of the following: 0.°C = ________k 27 °C = ________k -50 °C = _______k 237 K = ________°C 350 K = ________°C 100 K = _______°C -273 °C = ________k 20. K = ________°C 4. Gas ______________ and _______________ temperature are ________________ proportional to each other. 5. Charles's Law states that the volume of a ____________ mass of gas at constant _________________ varies directly with the _______________ temperature. It may be expressed as: V = k______ or _____ = k The value of _____ is the Kelvin temperature and ______ is a constant. 6. The form of Charles's law that can be applied directly to most _______________-___________________ problems involving gases is as follows: _____ = ______ *** On a separate piece of paper, answer Chapter Review Problems #25 - 27 from page 328. Attach your work and answers to THIS PAGE! C. - Gay-Lussac's Law: Pressure-Temperature Relationship 1. Gay-Lussac's law states that the pressure of a fixed mass of gas at ________________ _______________ varies directly with the _________________ temperature. Mathematically, Gay-Lussac's law is expressed as follows: P = k ___ or ______ = k 2. Unknown values can be found using this form of Gay-Lussac's law: _______ = ________ *** On a separate piece of paper, answer Chapter Review Problems #28 - 30 from page 236. Attach your work and answers to THIS PAGE! 3 D. - The Combined Gas Law 1. The combined gas law expresses the relationship between ____________________, ___________________ and ________________________ of a fixed amount of gas. It can be expressed as follows: _______ = k 2. Relating original conditions P1, V1, T1 to new conditions P2, V2, and T2 requires this variation on the combined gas law: _________ = _________ *** On a separate piece of paper, answer Chapter Review Problems #31, 32, 36, and 37 from page 328. Attach your work and answers to THIS PAGE! E. - Dalton's Law of Partial Pressures 1. The pressure of each gas in a _________________ is called the ________________ pressure of that gas. 2. Dalton's law of partial pressures states that the ____________ pressure of a mixture of gases is equal to the ________ of the partial pressures of the component gases. Dalton's law may be expressed as follows: PT = _______________________________ 3. Gases produced in the laboratory are often collected over ______________. Water vapor, like other gases, exerts a __________________, known as ____________-_____________ ____________________. 4. According to Dalton's law of partial pressures, the following is true: Patm = P_____ + P_____ 5. You need to look up the value of P_____ at the __________________ of the experiment in a standard reference table like that in Table A-8 of this book. *** On a separate piece of paper, answer Chapter Review Problems #39 - 43 from page 329. Attach your work and answers to THIS PAGE! Problem Answers: 20. a) 100. mL 21. 142 mL 22. 38.8 kPa 23. a) 225.0 mL 24. 6.05 x 105 mL 25. a) 93.3 mL 26. 121 K or -152°C 27. 406 mL 28. 0.360 atm 29. 540. K or 267°C 30. 127°C 31. 3.41 L 32. 485 torr 36. 243 L 37. -43°C 39. 166.190 torr 40. 712 mm Hg 41. 699.8 mm Hg 42. 168 mL 43. 109 mL b) 280 mL c) 1.4 mm Hg b) 1800. mL b) 588 K or 315°C c) 29.9 mL 4
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