Physics for Scientists and Engineers, Technology Update (No access codes included)
Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN: 9781305116399
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Textbook Question
Chapter 21, Problem 21.7OQ

A sample of gas with a thermometer immersed in the gas is held over a hot plate. A student is asked to give a step-by-step account of what makes our observation of the temperature of the gas increase. His response includes the following steps, (a) The molecules speed up. (b) Then the molecules collide with one another more often. (c) Internal friction makes the collisions inelastic, (d) Heat is produced in the collisions. (e) The molecules of the gas transfer more energy to the thermometer when they strike it, so we observe that the temperature has gone up. (f) The same process can take place without the use of a hot plate if you quickly push in the piston in an insulated cylinder containing the gas. (i) Which of the parts (a) through

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Chapter 21 Solutions

Physics for Scientists and Engineers, Technology Update (No access codes included)

Ch. 21 - A sample of gas with a thermometer immersed in the...Ch. 21 - Prob. 21.8OQCh. 21 - Which of the assumptions below is not made in the...Ch. 21 - Hot air rises, so why does it generally become...Ch. 21 - Prob. 21.2CQCh. 21 - When alcohol is rubbed on your body, it lowers...Ch. 21 - What happens to a helium-filled latex balloon...Ch. 21 - Which is denser, dry air or air saturated with...Ch. 21 - One container is filled with helium gas and...Ch. 21 - Daltons law of partial pressures states that the...Ch. 21 - (a) How many atoms of helium gas fill a spherical...Ch. 21 - A cylinder contains a mixture of helium and argon...Ch. 21 - Prob. 21.3PCh. 21 - In an ultrahigh vacuum system (with typical...Ch. 21 - A spherical balloon of volume 4.00 103 cm3...Ch. 21 - A spherical balloon of volume V contains helium at...Ch. 21 - A 2.00-mol sample of oxygen gas is confined to a...Ch. 21 - Oxygen, modeled as an ideal gas, is in a container...Ch. 21 - Prob. 21.9PCh. 21 - The rms speed of an oxygen molecule (O2) in a...Ch. 21 - A 5.00-L vessel contains nitrogen gas at 27.0C and...Ch. 21 - A 7.00-L vessel contains 3.50 moles of gas at a...Ch. 21 - In a period of 1.00 s, 5.00 1023 nitrogen...Ch. 21 - In a constant-volume process, 209 J of energy is...Ch. 21 - A sample of a diatomic ideal gas has pressure P...Ch. 21 - Review. A house has well-insulated walls. It...Ch. 21 - A 1.00-mol sample of hydrogen gas is healed at...Ch. 21 - A vertical cylinder with a heavy piston contains...Ch. 21 - Calculate the change in internal energy of 3.00...Ch. 21 - A 1.00-L insulated bottle is full of tea at 90.0C....Ch. 21 - Review. This problem is a continuation of Problem...Ch. 21 - A certain molecule has f degrees of freedom. Show...Ch. 21 - In a crude model (Fig. P21.23) of a rotating...Ch. 21 - Why is the following situation impossible? A team...Ch. 21 - Prob. 21.25PCh. 21 - A 2.00-mol sample of a diatomic ideal gas expands...Ch. 21 - During the compression stroke of a certain...Ch. 21 - How much work is required to compress 5.00 mol of...Ch. 21 - Air in a thundercloud expands as it rises. If its...Ch. 21 - Why is the following situation impossible? A new...Ch. 21 - During the power stroke in a four-stroke...Ch. 21 - Air (a diatomic ideal gas) at 27.0C and...Ch. 21 - A 4.00-L sample of a diatomic ideal gas with...Ch. 21 - Prob. 21.34PCh. 21 - Prob. 21.35PCh. 21 - Fifteen identical particles have various speeds:...Ch. 21 - Prob. 21.37PCh. 21 - Prob. 21.38PCh. 21 - Prob. 21.39PCh. 21 - Consider a container of nitrogen gas molecules at...Ch. 21 - Prob. 21.41PCh. 21 - Prob. 21.42PCh. 21 - The law of atmospheres states that the number...Ch. 21 - Prob. 21.44APCh. 21 - Prob. 21.45APCh. 21 - The dimensions of a classroom are 4.20 m 3.00 m ...Ch. 21 - The Earths atmosphere consists primarily of oxygen...Ch. 21 - Prob. 21.48APCh. 21 - An air rifle shoots a lead pellet by allowing high...Ch. 21 - Prob. 21.50APCh. 21 - A certain ideal gas has a molar specific heat of...Ch. 21 - Prob. 21.52APCh. 21 - Review. Oxygen at pressures much greater than 1...Ch. 21 - Prob. 21.54APCh. 21 - Model air as a diatomic ideal gas with M = 28.9...Ch. 21 - Review. As a sound wave passes through a gas, the...Ch. 21 - Prob. 21.57APCh. 21 - In a cylinder, a sample of an ideal gas with...Ch. 21 - As a 1.00-mol sample of a monatomic ideal gas...Ch. 21 - A sample consists of an amount n in moles of a...Ch. 21 - Prob. 21.61APCh. 21 - A vessel contains 1.00 104 oxygen molecules at...Ch. 21 - A pitcher throws a 0.142-kg baseball at 47.2 m/s....Ch. 21 - The latent heat of vaporization for water at room...Ch. 21 - A sample of a monatomic ideal gas occupies 5.00 L...Ch. 21 - Prob. 21.66APCh. 21 - Prob. 21.67APCh. 21 - Prob. 21.68APCh. 21 - Prob. 21.69APCh. 21 - On the PV diagram for an ideal gas, one isothermal...Ch. 21 - Prob. 21.71APCh. 21 - Review, (a) H it has enough kinetic energy, a...Ch. 21 - Prob. 21.73APCh. 21 - Prob. 21.74CPCh. 21 - A cylinder is closed at both ends and has...
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  • For a temperature increase of 10 at constant volume, what is the heat absorbed by (a) 3.0 mol of a dilute monatomic gas; (b) 0.50 mol of a dilute diatomic gas; and (c) 15 mol of a dilute polyatomic gas?
    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
    Two cylinders A and B at the same temperature contain the same quantity of the same kind of gas. Cylinder A has three times the volume of cylinder B. What can you conclude about the pressures the gases exert? (a) We can conclude nothing about the pressures. (b) The pressure in A is three times the pressure in B. (c) The pressures must be equal. (d) The pressure in A must be one-third the pressure in B.
  • 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.
    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.
    A certain ideal gas has a molar specific heat of Cv = 72R. A 2.00-mol sample of the gas always starts at pressure 1.00 105 Pa and temperature 300 K. For each of the following processes, determine (a) the final pressure, (b) the final volume, (c) the final temperature, (d) the change in internal energy of the gas, (e) the energy added to the gas by heat, and (f) the work done on the gas. (i) The gas is heated at constant pressure to 400 K. (ii) The gas is heated at constant volume to 400 K. (iii) The gas is compressed at constant temperature to 1.20 105 Pa. (iv) The gas is compressed adiabatically to 1.20 105 Pa.
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