College Physics
2nd Edition
ISBN: 9780134601823
Author: ETKINA, Eugenia, Planinšič, G. (gorazd), Van Heuvelen, Alan
Publisher: Pearson,
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Chapter 12, Problem 20P
Air is a mixture of molecules of different types. Compare the rms speeds of the molecules of
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If the pressure of an ideal monatomic gas is increased while the number of moles is kept constant, what happens to the average translational kinetic energy of one atom of the gas? Is it possible to change both the volume and the pressure of an ideal gas and keep the average translational kinetic energy of the atoms constant? Explain.
Suppose we have a macroscopic amount (~ moles) of argon gas in thermodynamic equilibrium at
STP conditions. In this case, the velocities of the gas atoms follow the Maxwell and Boltzmann
distribution with very good accuracy. Which of the following statements is/are true?
Select one or more:
a. When heating a gas, the ratio of the average speed of the molecules to the most probable
speed increases.
b.Heating the gas would lead to a shift of the most probable speed of the momentum
distribution to a lower value, while the relative number of high-speed atoms would increase.
c. Replacing argon atoms with helium atoms would lead to a momentum distribution in
equilibrium, the most probable momentum of which would shift to a higher value and the
relative number of high-speed atoms would increase.
Can you please answer this question and all of the sub parts and show all of the steps to the solution
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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- An ideal gas is contained in a vessel at 300 K. The temperature of the gas is then increased to 900 K. (i) By what factor does the average kinetic energy of the molecules change, (a) a factor of 9, (b) a factor of 3, (c) a factor of 3, (d) a factor of 1, or (e) a factor of 13? Using the same choices as in part (i), by what factor does each of the following change: (ii) the rms molecular speed of the molecules, (iii) the average momentum change that one molecule undergoes in a collision with one particular wall, (iv) the rate of collisions of molecules with walls, and (v) the pressure of the gas?arrow_forwardIn the text, it was shown that N/V=2.681025m3 for gas at STP. (a) Show that this quantity is equivalent to N/V=2.681019cm3, as stated. (b) About how many atoms are mere in one m3 (a cubic micrometer) at STP? (c) What does your answer to part (b) imply about the separation of Mama and molecules?arrow_forwardA cylinder contains a mixture of helium and argon gas in equilibrium at 150C. (a) What is the average kinetic energy for each type of gas molecule? (b) What is the rms speed of each type of molecule?arrow_forward
- Cylinder A contains oxygen (O2) gas, and cylinder B contains nitrogen (N2) gas. If the molecules in the two cylinders have the same rms speeds, which of the following statements is false? (a) The two gases haw different temperatures. (b) The temperature of cylinder B is less than the temperature of cylinder A. (c) The temperature of cylinder B is greater than the temperature of cylinder A. (d) The average kinetic energy of the nitrogen molecules is less than the average kinetic energy of the oxygen molecules.arrow_forwardA gas is at 200 K. If we wish to double the rms speed of the molecules of the gas, to what value must we raise its temperature? (a) 283 K (b) 400 K (c) 566 K (d) 800 K (e) 1 130 Karrow_forwardHow many moles are there in (a) 0.0500 g of N2 gas (M = 28.0 g/mol)? (b) 10.0 g of CO2 gas (M = 44.0 g/mol)? (c) How many molecules are present in each case?arrow_forward
- (a) An ideal gas occupies a volume of 1.0 cm3 at 20.C and atmospheric pressure. Determine the number of molecules of gas in the container, (b) If the pressure of the 1.0-cm3 volume is reduced to 1.0 1011 Pa (an extremely good vacuum) while the temperature remains constant, how many moles of gas remain in the container?arrow_forwardA sealed cubical container 20.0 cm on a side contains a gas with three times Avogadros number of neon atoms at a temperature of 20.0C. (a) Find the internal energy of the gas. (b) Find the total translational kinetic energy of the gas. (c) Calculate the average kinetic energy per atom, (d) Use Equation 10.13 to calculate the gas pressure. (e) Calculate the gas pressure using the ideal gas law (Eq. 10.8).arrow_forwardAn ideal gas is maintained at constant pressure. If the temperature of the gas is increased from 200 K to 600 K, what happens to the rms speed of the molecules? (a) It increases by a factor of 3. (b) It remains the same. (c) It is one-third the original speed. (d) It is 3 times the original speed. (e) It increases by a factor of 6.arrow_forward
- An ideal gas is trapped inside a tube of uniform cross-sectional area sealed at one end as shown in Figure P19.49. A column of mercury separates the gas from the outside. The tube can be turned in a vertical plane. In Figure P19.49A, the column of air in the tube has length L1, whereas in Figure P19.49B, the column of air has length L2. Find an expression (in terms of the parameters given) for the length L3 of the column of air in Figure P19.49C, when the tube is inclined at an angle with respect to the vertical. FIGURE P19.49arrow_forwardConsider a gas filling two connected chambers that are separated by a removable barrier (Fig. P20.68). The gas molecules on the left (red) are initially at a higher temperature than the ones on the right (blue). When the barrier between the two chambers is removed, the molecules begin to mix and move from one chamber to the other. a. Describe what happens to the temperature in the left chamber and in the right chamber as time goes on, once the barrier is open. Discuss in terms of the mixing of the molecules from each gas. b. Describe what happens to the most probable speed and average speed in the left chamber and in the right chamber as time goes on, once the barrier is open. Do they increase or decrease by the same factor? Explain. FIGURE P20.68 Problems 68 and 69.arrow_forwardWhich of the assumptions below is not made in the kinetic theory of gases? (a) The number of molecules is very large. (b) The molecules obey Newtons laws of motion. (c) The forces between molecules are long range. (d) The gas is a pure substance. (e) The average separation between molecules is large compared to their dimensions. (f) of (his account are correct statements necessary for a clear and complete explanation? (ii) Which are correct statements that are not necessary to account for the higher thermometer reading? (iii) Which are incorrect statements?arrow_forward
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