Homework Assignments PH 327 Spring 2007
For first day of class:Read parts
of Chapter 1 enough to bring to class Schroeder's definitions of a) temperature,
b) heat, and c) work.
Assignments below in dark green have been reworked for 2007.
Others are from 2000 and will probably be changed.
Set 1. Due Thursday March 8, 2007
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1.1, 1.2, 1.4, 1.5
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1.7a). Bulb OD: 5.0 mm, length 16 mm, column ID = 2/15 mm; dL/dT(exp) =
(0.070m)/(30 K)
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1.10, 1.11
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1.14, 1.15
Set 2. Due Tuesday March 13, 2007
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1.17 a) and b) For ideas on part b), read p. 142
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1.17 c) and d) For more on VDW equation, see p. 180
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1.18, 1.19
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Thermal expansion coefficient of Cu based on our 650 nm laser experiment
Set 3. Due Friday March 16, 2007
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1.21
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1.22 parts a) through d).
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Consider a space station of cubic shape, 15 m on a side. What size hole
in this station would result in a 45-min time for the pressure to reduce
to 1/e of its original pressure (1 bar) ?
Set 4 Due Friday March 23, 2007
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1.36, p. 26
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1.37, p. 26
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1.49, p. 35
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1.62, p. 40
Set 5 Due Friday March 30, 2007
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2.37, p. 81
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a) 3.3 p. 90 b) 3.4 p. 90
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3.5, p. 91
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Include the zero-point energy (p. 53, footnote) of the harmonic oscillator
in the vibrational partition function. Show that the vibrational part of
Cv is unaffected by including the zero-point energy.
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The infrared vibration 'frequency' of I2 is 240 cm^-1, while for O2 it
is 1600 cm^-1. Work out the vibrational part of Cv for each of these, understanding
that not much should show up for O2, while it'll be nearly the max for
I2.
Set 6 Due Friday April 20, 2007
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4.20, p. 133; skip the part about efficiency of diesel and otto cycles
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4.22, p. 137 efficiency of a steam engine
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4.26, p. 137 water volume needed in a steam engine
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4.30, p. 141 household refrigerator
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4.33, p. 143 liquefaction of N_2
Set 7 Due Friday April 27, 2007
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Derive formula 4.21, p. 154, for a 2-state paramagnet, using the
partition function Z and the Boltzmann factor
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4.36 p. 148 laser cooling
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5.4 p. 155 fuel cell emf
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5.8 p. 158 derive dG expression and partials (easy)
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5.11 p. 158 fuel cell emf at higher temperature
Set 8 Due Friday May 4, 2007
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5.27, p. 171 compressibility correction in diamond-graphite stability
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5.35, p. 175 Show from Clausius-Clapeyron that p is an exponential function
of L
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5.48, p. 185, obtain 'critical' VDW p, V and T
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5.51, p. 185, VDW equation in terms of 'reduced' variables
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6.52, p. 256 An easy integral for relativistic 1D partition function
Set 9 Due Friday May 11, 2007
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a) Calculate the 'escape velocity' of a particle from the surface of the
Moon b) Use Maple (Digits:=2000) to find the fraction of Argon atoms which
at 300 K have a speed greater than the escape speed from the Moon. Give
a numerical answer.
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7.54, p. 306 Temperature, luminosity, radius of Sirius A & B, and Betelgeuse
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7.19 Properties of copper including Fermi energy, and degen electrons ->
bulk modulus
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7.23 b), c), d), e) White dwarf properties, E_f, etc.
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7.45 photon gas pressure
Deadline for turning in late homework is Friday
of 10th week at the beginning of class: 10:50 AM
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Set 7 Due Tuesday April 25, 2000
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Set 8 Due Tuesday May 2, 2000
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a) 6.34 b) 6.35 (from the max of your plots at 300K and 600K)
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6.39
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6.44
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6.46 (for the gas, use diatomic nitrogen)