Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Textbook Question
Chapter 20, Problem 46P
A box contains N identical gas molecules equally divided between its two halves. For N = 50, what are (a) the multiplicity W of the central configuration, (b) the total number of microstates, and (c) the percentage of the time the system spends in the central configuration? For N = 100, what are (d) W of the central configuration, (e) the total number of microstates, and (f) the percentage of the time the system spends in the central configuration? For N = 200, what are (g) W of the central configuration, (h) the total number of microstates, and (i) the percentage of the time the system spends in the central configuration? (j) Does the time spent in the central configuration increase or decrease with an increase in N?
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Problem 1: A box contains N = 50 identical gas molecules divided between its two halves. What are:
(a) the multiplicity of the equilibrium configuration,
(b) the total number of possible microstates, and
(c) the percentage of the time the system spends in the equilibrium configuration?
(d) How do the answers change when N = 200 instead?
2. A box contains N =100 identical gas molecules equally divided between its two
halves. What are
(a) the multiplicity of the central configuration?
(b) the total number of microstates?
(c) the percentage of time the system spends in the central configuration?
(d) the trend of the percentage of time the system spends in the central configuration as
N increases?
10 atm
3. One mole if ideal monatomic is taken through the reversible P-V cycle shown. Find
(a) the energy added to the gas as heat
(b) the energy leaving the gas as heat
(c) the net work done by the gas
adiabatic
(d) the efficiency of the cycle
1.00 x 10-3 m
8.00 x 10-3 m
A sealed container contains a fixed volume of a monatomic ideal gas. If the gas temperature is increased by a factor of two, what is the ratio of the final to the initial (a) pressure, (b) average molecular kinetic energy, (c) root-mean-square speed, and (d) internal energy.
Chapter 20 Solutions
Fundamentals of Physics Extended
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