College Physics
2nd Edition
ISBN: 9780134601823
Author: ETKINA, Eugenia, Planinšič, G. (gorazd), Van Heuvelen, Alan
Publisher: Pearson,
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Textbook Question
Chapter 12, Problem 26CQ
(a) Describe experiments that were used to test the predictions of the molecular kinetic theory. (b) What experiments revealed its limitations?
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An ideal gas, at pressure 4.9 atmospheres, in a volume 1.1 m3 and at a temperature of 308 K, is compressed into a lower volume 0.44 m3, at a pressure of 6.26 atmospheres. What is the new temperature, in K with two digits of precision?
(a) The probability that a molecule in the atmosphere is at a height between z and z + dz above the surface of the Earth is
proportional to e-z/A dz (capital Greek lambda). Determine the constant of proportionality. Sketch this distribution.
(b) What is the mean molecular height, i.e. the mean height of a molecule?
(c) What is the variance in the molecular height?
(d) What is the standard deviation in the molecular height?
In the simple kinetic theory of a gas we discussed in class, the molecules are assumed to be point-like objects (without any volume) so that they rarely collide with one another. In reality, each molecule has a small volume and so there are collisions. Let's assume that a molecule is a hard sphere of radius r. Then the molecules will occasionally collide with each other. The average distance traveled between two successive collisions (called mean free path) is λ = V/(4π √2 r2N) where V is the volume of the gas containing N molecules. Calculate the mean free path of a H2 molecule in a hydrogen gas tank at STP. Assume the molecular radius to be 10-10
a) 2.1*10-7 m
b) 4.2*10-7 m
c) none of these.
Chapter 12 Solutions
College Physics
Ch. 12 - Prob. 1RQCh. 12 - Prob. 2RQCh. 12 - Prob. 3RQCh. 12 - Review Question 12.4 Ken says that the temperature...Ch. 12 - Review Question 12.5 What is the difference...Ch. 12 - Prob. 6RQCh. 12 - Prob. 7RQCh. 12 - Review Question 12.8 How do we know that the Sun’s...Ch. 12 - Prob. 1MCQCh. 12 - Prob. 2MCQ
Ch. 12 - Prob. 3MCQCh. 12 - Prob. 4MCQCh. 12 - Prob. 5MCQCh. 12 - Prob. 6MCQCh. 12 - Prob. 7MCQCh. 12 - Prob. 8MCQCh. 12 - 9. How might physicists have come to know that at...Ch. 12 - 10. A cylindrical container is filled with a gas....Ch. 12 - Prob. 11MCQCh. 12 - A completely closed rigid container of gas is...Ch. 12 - Prob. 13MCQCh. 12 - Prob. 14MCQCh. 12 - Prob. 15MCQCh. 12 - Which of the following conditions are crucial for...Ch. 12 - Prob. 17CQCh. 12 - 18. Why does it hurt to walk barefoot on gravel?
Ch. 12 - 19. In the magic trick in which a person lies on a...Ch. 12 - What does it mean if the density of a gas is 1.29...Ch. 12 - How many oranges would you have if you had two...Ch. 12 - 22. Imagine that you have an unknown gas. What...Ch. 12 - Prob. 23CQCh. 12 - Describe how temperature and one degree are...Ch. 12 - Why does sugar dissolve faster in hot tea than in...Ch. 12 - 26. (a) Describe experiments that were used to...Ch. 12 - Give three examples of diffusion that are...Ch. 12 - Why do very light gases such as hydrogen not exist...Ch. 12 - Prob. 29CQCh. 12 - Explain why Earth has almost no free hydrogen in...Ch. 12 - What are the molar masses of molecular and atomic...Ch. 12 - Prob. 2PCh. 12 - The average particle density in the Milky Way...Ch. 12 - * (a) What is the concentration (number per cubic...Ch. 12 - Prob. 5PCh. 12 - 6. You find that the average gauge pressure in...Ch. 12 - Prob. 7PCh. 12 - Prob. 8PCh. 12 - Prob. 9PCh. 12 - 10. You have five molecules with the following...Ch. 12 - 11.Two gases in different containers have the same...Ch. 12 - 12. Four molecules are moving with the following...Ch. 12 - m2, what is the average pressure of the 10 tennis...Ch. 12 - * Friends throw snowballs at the wall of a...Ch. 12 - Prob. 15PCh. 12 - Prob. 16PCh. 12 - Prob. 17PCh. 12 - Air consists of many different molecules, for...Ch. 12 - Prob. 19PCh. 12 - 20. Air is a mixture of molecules of different...Ch. 12 - Prob. 21PCh. 12 - Prob. 22PCh. 12 - 23. ** A molecule moving at speed collides...Ch. 12 - Prob. 24PCh. 12 - Prob. 25PCh. 12 - * Even the best vacuum pumps cannot lower the...Ch. 12 - Prob. 27PCh. 12 - Prob. 28PCh. 12 - * The following data were collected for the...Ch. 12 - Prob. 30PCh. 12 - Prob. 31PCh. 12 - 32. * When surrounded by air at a pressure of 1.0...Ch. 12 - 33. * Some students are given the following...Ch. 12 - 34. ** You have gas in a container with a movable...Ch. 12 - Prob. 35PCh. 12 - * Bubbles While snorkeling, you see air bubbles...Ch. 12 - Prob. 37PCh. 12 - * Mount Everest (a) Determine the number of...Ch. 12 - Prob. 39PCh. 12 - Prob. 40PCh. 12 - Prob. 41PCh. 12 - 42. * Car tire dilemma Imagine a car tire that...Ch. 12 - 43. * There is a limit to how much gas can pass...Ch. 12 - Prob. 44PCh. 12 - Prob. 45PCh. 12 - 46. * In the morning, the gauge pressure in your...Ch. 12 - ** The P-versus-T graph in Figure P12.49 describes...Ch. 12 - ** The V-versus-T graph in Figure P12.50 describes...Ch. 12 - Prob. 51PCh. 12 - Prob. 52PCh. 12 - Prob. 53PCh. 12 - 55. ** A gas that can be described by the ideal...Ch. 12 - * Equation Jeopardy 3 The three equations below...Ch. 12 - Prob. 57GPCh. 12 - 58. * See the previous problem Explain how the...Ch. 12 - Prob. 59GPCh. 12 - Prob. 60GPCh. 12 - Prob. 61GPCh. 12 - Prob. 62GPCh. 12 - 63. EST * Car engine During a compression stroke...Ch. 12 - * How can the pressure of air in your house stay...Ch. 12 - 65 * Tell-all problem Tell everything you can...Ch. 12 - 66. ** Two massless, frictionless pistons are...Ch. 12 - 67. * A closed cylindrical container is divided...Ch. 12 - Prob. 68GPCh. 12 - 69. ** The speed of sound in an ideal gas is given...Ch. 12 - 70. * Using the information from problem 12.69,...Ch. 12 - Prob. 71GPCh. 12 - 73. Why is the wall tension in capillaries so...Ch. 12 - Prob. 74RPPCh. 12 - Prob. 75RPPCh. 12 - As a person ages, the fibers in arteries become...Ch. 12 - Prob. 77RPPCh. 12 - The bag and pump have a 6.76-kg mass. The volume...Ch. 12 - The bag and pump have a 6.76-kg mass. The volume...Ch. 12 - The bag and pump have a 6.76-kg mass. The volume...Ch. 12 - The bag and pump have a 6.76-kg mass. The volume...Ch. 12 - Prob. 82RPP
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