College Physics
2nd Edition
ISBN: 9780134601823
Author: ETKINA, Eugenia, Planinšič, G. (gorazd), Van Heuvelen, Alan
Publisher: Pearson,
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Chapter 12, Problem 33P
* Some students are given the following problem: “A 5000-cm3” cylinder is filled with nitrogen gas at 1.0 x 105 Pa and 300 K and closed with a movable piston. The gas is slowly compressed at constant temperature to a final volume of 5 cm3. Determine the final pressure of the gas.” (a) Explain why the
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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 air bubble starts rising from the bottom of a lake. Its diameter is 3.60 mm at the bottom and 4.00 mm at the surface. The depth of the lake is 2.50 m, and the temperature at the surface is 40.0C. What is the temperature at the bottom of the lake? Consider the atmospheric pressure to be 1.01 105 Pa and the density of water to be 1.00 103 kg/m3. Model the air as an ideal gas. 53. Use the ideal gas law for the bottom (point 1) and the surface (point 2) of the lake. At the surface, the pressure is atmospheric pressure. However, at the bottom it is equal to to the sum of the atmospheric pressure and the pressure due to 2.50 m column of water. P2=1.01105PaP1=P2+WghWP1=1.01105Pa+(1.00103kg/m3)(9.81m/s2)(2.50m) Use the ideal gas law (Eq. 19.17). T1=P1V1P2V2T2 The volume ratio at the bottom and top of the lake can be calculated with the diameters given. V1V2=43r1343r23=(1.82.0)3 T1=P1P2(V1V2)T2T1=1.01105Pa+(1.00103kg/m3)(9.81m/s2)(2.50m)1.01105Pa(1.802.00)3(40.0+273.15K)T1=284Karrow_forwardUnreasonable Results (a) How many moles per cubic meter of an ideal gas are there at a pressure of 1.001014N/m2 and at 0C ? (b) What is unreasonable about this result? (c) Which premise or assumption is responsible?arrow_forwardAn 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_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_forwardAir (a diatomic ideal gas) at 27.0C and atmospheric pressure is drawn into a bicycle pump (Figure P17.53) that has a cylinder with an inner diameter of 2.50 cm and length 50.0 cm. The downstroke adiabatically compresses the air, which reaches a gauge pressure of 8.00 105 Pa before entering the tire. We wish to investigate the temperature increase of the pump. (a) What is the initial volume of the air in the pump? (b) What is the number of moles of air in the pump? (c) What is the absolute pressure of the compressed air? (d) What is the volume of the compressed air? (e) What is the temperature of the compressed air? (f) What is the increase in internal energy of the gas during the compression? What If? The pump is made of steel that is 2.00 mm thick. Assume 4.00 cm of the cylinders length is allowed to come to thermal equilibrium with the air. (g) What is the volume of steel in this 4.00-cm length? (h) What is the mass of steel in this 4.00-cm length? (i) Assume the pump is compressed once. After the adiabatic expansion, conduction results in the energy increase in part (f) being shared between the gas and the 4.00-cm length of steel. What will be the increase in temperature of the steel after one compression? Figure P17.53arrow_forward
- In 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_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_forwardA 1.00-mol sample of hydrogen gas is heated at constant pressure from 300 K to 420 K. Calculate (a) the energy transferred to the gas by heat, (b) the increase in its internal energy, and (c) the work done on the gas.arrow_forward
- A vertical cylinder of cross-sectional area A is fitted with a tight-fitting, frictionless piston of mass m (Fig. P16.56). The piston is not restricted in its motion in any way and is supported by the gas at pressure P below it. Atmospheric pressure is P0. We wish to find die height h in Figure P16.56. (a) What analysis model is appropriate to describe the piston? (b) Write an appropriate force equation for the piston from this analysis model in terms of P, P0, m, A, and g. (c) Suppose n moles of an ideal gas are in the cylinder at a temperature of T. Substitute for P in your answer to part (b) to find the height h of the piston above the bottom of the cylinder.arrow_forwardIn Figure P19.22, the change in internal energy of a gas that is taken from A to C along the blue path is +800 J. The work done on the gas along the red path ABC is 500 J. (a) How much energy must be added to the system by heat as it goes from A through B to C? (b) If the pressure at point A is five times that of point C, what is the work done on the system in going from C to D? Figure P19.22 (c) What is the energy exchanged with the surroundings by heat as the gas goes from C to A along the green path? (d) If the change in internal energy in going from point D to point A is +500 J, how much energy must be added to the system by heat as it goes from point C to point D?arrow_forwardA 2.00-mol sample of a diatomic ideal gas expands slowly and adiabatically from a pressure of 5.00 atm and a volume of 12.0 L to a final volume of 30.0 L. (a) What is the final pressure of the gas? (b) What are the initial and final temperatures? Find (c) Q, (d) Eint, and (e) W for the gas during this process.arrow_forward
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