 7.1P: Near the cells where oxygen is used, its chemical potential is sign...
 7.2P: In a real hemoglobin molecule, The tendency of oxygen to bind to a ...
 7.3P: Consider a system consisting of a single hydrogen atom/ ion, which ...
 7.4P: Repeat the previous problem, taking into account the two independen...
 7.5P: Consider a system consisting of a single impurity atom/ion in a sem...
 7.6P: Show that when a system is in thermal and diffusive equilibrium wit...
 7.7P: In Section 6.5, I derived the useful relation F = ? kT ln Z between...
 7.8P: Suppose you have a “box” in which each particle may occupy any of 1...
 7.9P: Compute the quantum volume for an N2 molecule at room temperature, ...
 7.10P: Consider a system of five particles, inside a container where the a...
 7.11P: For a system of fermions at room temperature, compute the probabili...
 7.12P: Consider two singleparticle states, A and B, in a system of fermio...
 7.13P: For a system of bosons at room temperature, compute the average occ...
 7.14P: For a system of particles at room temperature, how large must ? ? µ...
 7.15P: For a system obeying Boltzmann statistics, we know what µ is from C...
 7.16P: Consider an isolated system of N identical fermions, inside a conta...
 7.17P: In analogy with the previous problem, consider a system of identica...
 7.18P: Imagine that there exists a third type of particle which can share ...
 7.19P: Each atom in a chunk of copper contributes one conduction electron....
 7.20P: At the center of the sun, the temperature is approximately 107 K an...
 7.21P: An atomic nucleus can be crudely modeled as a gas of nucleons with ...
 7.22P: Consider a degenerate electron gas in which essentially all of the ...
 7.23P: A white dwarf star (see Figure) is essentially a degenerate electro...
 7.24P: A star that is too heavy to stabilize as a white dwarf can collapse...
 7.25P: Use the results of this section to estimate the contribution of con...
 7.26P: In this problem you will model helium3 as a noninteracting Fermi g...
 7.28P: Consider a free Fermi gas in two dimensions, confined to a square a...
 7.29P: Carry out the Sommerfield expansion for the energy integral 1 to ob...
 7.30P: The Sommerfield expansion is an expansion in powers of KT/?F, which...
 7.31P: In found the density of states and the chemical potential for a two...
 7.32P: Although the integrals and for N and U cannot be carried out analyt...
 7.33P: When the attractive forces of the ions in a crystal are taken into ...
 7.34P: In a real semiconductor; the density of states at the bottom of the...
 7.35P: The previous two problems dealt with pure semiconductors, also call...
 7.36P: Most spin1/2 fermions, including electrons and helium3 atoms, hav...
 7.37P: Prove that the peak of the Planck spectrum is at x = 2.82.
 7.38P: It’s not obvious from Figure how the Planck spectrum changes as a f...
 7.39P: Change variables in equation 7.83 to ? = hc/?, and thus derive a fo...
 7.40P: Starting from equation, derive a formula for the density of states ...
 7.41P: Consider any two internal states, s1 and s2, of an atom. Let s2 be ...
 7.42P: Consider the electromagnetic radiation inside a kiln, with a volume...
 7.43P: At the surface of the sun, the temperature is approximately 5800 K....
 7.44P: Number of photons in a photon gas.(a) Show that the number of photo...
 7.45P: Use the formula to show that the pressure of a photon gas is 1/3 ti...
 7.46P: Sometimes it is useful to know the free energy of a photon gas.(a) ...
 7.47P: In the text I claimed that the universe was filled with ionized gas...
 7.48P: In addition to the cosmic background radiation of photons, the univ...
 7.49P: For a brief time in the early universe, the temperature was hot eno...
 7.50P: The results of the previous problem can be used to explain why the ...
 7.51P: The tungsten filament of an incandescent light bulb has a temperat...
 7.52P: (a) Estimate (roughly) the total power radiated by your body, negle...
 7.53P: A black hole is a blackbody if ever there was one, so it should emi...
 7.54P: The sun is the only star whose size we can easily measure directly;...
 7.55P: Suppose that the concentration of infraredabsorbing gases in earth...
 7.56P: The planet Venus is different from the earth in several respects. F...
 7.57P: Fill in the steps to derive equations 7.112 and 7.117.Equation 7.117:
 7.58P: The speed of sound in copper is 3560 m/s. Use this value to calcula...
 7.59P: Explain in some detail why the three graphs in Figure all intercept...
 7.60P: Sketch the heat capacity of copper as a function of temperature fro...
 7.61P: The heat capacity of liquid 4He below 0.6 K is proportional to T3, ...
 7.62P: Evaluate the integrand in equation 7.112 as a power series in x, ke...
 7.63P: Consider a twodimensional solid, such as a stretched drumhead or a...
 7.64P: A ferromagnet is a material (like iron) that magnetizes spontaneous...
 7.65P: Evaluate the integral in equation 7.124 numerically to confirm the ...
 7.66P: Consider a collection of 10,000 atoms of rubidium87 confined insid...
 7.67P: In the first achievement of BoseEinstein condensation with atomic ...
 7.68P: Caluculate the condensation temperature for liquid helium4, preten...
 7.69P: If You have a computer system that can do numerical integrals, It’s...
 7.70P: Figure shows the heat capacity of a Bose gas as a function of tempe...
 7.71P: Starting from the formula for CV derived in Problem, calculate the ...
 7.72P: For a gas of particles confined inside a twodimensional box, the d...
 7.73P: Consider a gas of N identical spin0 bosons confined by an isotropi...
 7.74P: Consider a Bose gas confined in an isotropic harmonic trap, as in t...
 7.75P: Consider a gas of non interacting spin0 bosons at high temperature...
Solutions for Chapter 7: An Introduction to Thermal Physics 1st Edition
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ISBN: 9780201380279
Solutions for Chapter 7
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Key Physics Terms and definitions covered in this textbook

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parallel

any symbol
average (indicated by a bar over a symbol—e.g., v¯ is average velocity)

°C
Celsius degree

°F
Fahrenheit degree