Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 21, Problem 75PQ
To determine
The average thermal energy per molecule at temperature
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Chapter 21 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 21.2 - Incorrect. Heat is not contained in Texas. The...Ch. 21.3 - In each situation listed, an objects temperature...Ch. 21.4 - Prob. 21.3CECh. 21.4 - Prob. 21.4CECh. 21.7 - Prob. 21.5CECh. 21.7 - Prob. 21.6CECh. 21.7 - Prob. 21.7CECh. 21.7 - Prob. 21.8CECh. 21.7 - Prob. 21.9CECh. 21 - Prob. 1PQ
Ch. 21 - Prob. 2PQCh. 21 - You extend an impromptu invitation to a friend for...Ch. 21 - Prob. 4PQCh. 21 - Prob. 5PQCh. 21 - Prob. 6PQCh. 21 - Prob. 7PQCh. 21 - Prob. 8PQCh. 21 - Prob. 9PQCh. 21 - Prob. 10PQCh. 21 - Prob. 11PQCh. 21 - Prob. 12PQCh. 21 - Prob. 13PQCh. 21 - Prob. 14PQCh. 21 - Prob. 15PQCh. 21 - Prob. 16PQCh. 21 - Prob. 17PQCh. 21 - Prob. 18PQCh. 21 - Prob. 19PQCh. 21 - From Table 21.1, the specific heat of milk is 3.93...Ch. 21 - Prob. 21PQCh. 21 - Prob. 22PQCh. 21 - An ideal gas is confined to a cylindrical...Ch. 21 - Prob. 24PQCh. 21 - You place frozen soup (T = 17C) in a microwave...Ch. 21 - A 25-g ice cube at 0.0C is heated. After it first...Ch. 21 - Prob. 27PQCh. 21 - Prob. 28PQCh. 21 - Prob. 29PQCh. 21 - Prob. 30PQCh. 21 - Consider the latent heat of fusion and the latent...Ch. 21 - Prob. 32PQCh. 21 - Prob. 33PQCh. 21 - A thermodynamic cycle is shown in Figure P21.34...Ch. 21 - Prob. 35PQCh. 21 - Figure P21.36 shows a cyclic thermodynamic process...Ch. 21 - Figure P21.37 shows a PV diagram for a gas that is...Ch. 21 - Prob. 38PQCh. 21 - Prob. 39PQCh. 21 - Prob. 40PQCh. 21 - Prob. 41PQCh. 21 - Prob. 42PQCh. 21 - Prob. 43PQCh. 21 - Prob. 44PQCh. 21 - Figure P21.45 shows a cyclic process ABCDA for...Ch. 21 - Prob. 46PQCh. 21 - Prob. 47PQCh. 21 - Prob. 48PQCh. 21 - Prob. 49PQCh. 21 - Prob. 50PQCh. 21 - Prob. 51PQCh. 21 - Prob. 52PQCh. 21 - Prob. 53PQCh. 21 - Prob. 54PQCh. 21 - Prob. 55PQCh. 21 - You extend an impromptu invitation to a friend for...Ch. 21 - Prob. 57PQCh. 21 - Prob. 58PQCh. 21 - A lake is covered with ice that is 2.0 cm thick....Ch. 21 - A concerned mother is dressing her child for play...Ch. 21 - Prob. 61PQCh. 21 - Prob. 62PQCh. 21 - Prob. 63PQCh. 21 - Prob. 64PQCh. 21 - Prob. 65PQCh. 21 - Prob. 66PQCh. 21 - Prob. 67PQCh. 21 - Prob. 68PQCh. 21 - Three 100.0-g ice cubes initially at 0C are added...Ch. 21 - Prob. 70PQCh. 21 - Prob. 71PQCh. 21 - Prob. 72PQCh. 21 - Prob. 73PQCh. 21 - Prob. 74PQCh. 21 - Prob. 75PQCh. 21 - Prob. 76PQCh. 21 - Prob. 77PQCh. 21 - Prob. 78PQCh. 21 - How much faster does a cup of tea cool by 1C when...Ch. 21 - The PV diagram in Figure P21.80 shows a set of...Ch. 21 - Prob. 81PQCh. 21 - Prob. 82PQCh. 21 - Prob. 83PQCh. 21 - Prob. 84PQCh. 21 - Prob. 85PQ
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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.
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A 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 K
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Find (a) the most probable speed, (b) the average speed, and (c) the rms speed for nitrogen molecules at 295 K.
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Consider 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.
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A sample of a monatomic ideal gas occupies 5.00 L at atmospheric pressure and 300 K (point A in Fig. P17.68). It is warmed at constant volume to 3.00 atm (point B). Then it is allowed to expand isothermally to 1.00 atm (point C) and at last compressed isobarically to its original state. (a) Find the number of moles in the sample. Find (b) the temperature at point B, (c) the temperature at point C, and (d) the volume at point C. (e) Now consider the processes A B, B C, and C A. Describe how to carry out each process experimentally. (f) Find Q, W, and Eint for each of the processes. (g) For the whole cycle A B C A, find Q, W, and Eint. Figure P17.68
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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?
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Consider the Maxwell-Boltzmann distribution function plotted in Problem 28. For those parameters, determine the rms velocity and the most probable speed, as well as the values of f(v) for each of these values. Compare these values with the graph in Problem 28. 28. Plot the Maxwell-Boltzmann distribution function for a gas composed of nitrogen molecules (N2) at a temperature of 295 K. Identify the points on the curve that have a value of half the maximum value. Estimate these speeds, which represent the range of speeds most of the molecules are likely to have. The mass of a nitrogen molecule is 4.68 1026 kg. Equation 20.18 can be used to find the rms velocity given the temperature, Boltzmanns constant, and the mass of the atom or molecule. The mass of a nitrogen molecule is 4.68 1026 kg. vrms=3kBTm=3(1.381023J/K)4.681026kg=511m/s Using the results of Problem 28 and the rms velocity, we can calculate the value of f(v). f(vrms) = (3.11 108)(511)2 e(5.75106(511)2) = 0.00181 The most probable speed, for which this function has its maximum value, is given by Equation 20.20. vmp=2kBTm=2(1.381023J/K)(295K)4.681026kg=417m/s f(vmp) = (3.11108)(417)2 e(5.75106(417)2) = 0.00199 We plot these points on the speed distribution. The most probable speed is indeed at the peak of the distribution function. Since the function is not symmetric, the rms velocity is somewhat higher than the most probable speed. Figure P20.29ANS
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A 0.500-m3 container holding 3.00 mol of ozone (O3) is kept at a temperature of 250 K. Assume the molecules have radius r = 2.50 1010 m. What are the a. mean free path and b. mean free time between collisions for an ozone molecule in the container?
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A sample of a monatomic ideal gas occupies 5.00 L at atmospheric pressure and 300 K (point A in Fig. P21.65). It is warmed at constant volume to 3.00 atm (point B). Then it is allowed to expand isothermally to 1.00 atm (point C) and at last compressed isobarically to its original state, (a) Find the number of moles in the sample. Find (b) the temperature at point B, (c) the temperature at point C, and (d) the volume at point C. (e) Now consider the processes A B, B C, and C A. Describe how to carry out each process experimentally, (f) Find Q, W, and Eint for each of the processes, (g) For the whole cycle A B C A, find Q, W, and Eint.
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An ideal gas has a pressure of 0.50 atm and a volume of 10 L. It is compressed adiabatically and quasi-statically until its pressure is 3.0 atm and its volume is 2.8 L. Is the monatomic, diatomic, or polyatomic?
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Two containers hold an ideal gas at the same temperature and pressure. Both containers hold the same type of gas, but container B has twice the volume of container A. (i) What is the average translational kinetic energy per molecule in container B? (a) twice that of container A (b) the same as that of container A (c) half that of container A (d) impossible to determine (ii) From the same choices, describe the internal energy of the gas in container B.
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How 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?
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