An Introduction to Thermal Physics
1st Edition
ISBN: 9780201380279
Author: Daniel V. Schroeder
Publisher: Addison Wesley
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Chapter 7.2, Problem 15P
To determine
The chemical potential of system.
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A system containing a single particle in a rigid container at temperature 100 K has a translational partition function of Ztrans = 1.5 × 1012.
(a) If the mass of the particle is doubled, what is the new value for ztrans? Report your answer in scientific notation (in Blackboard, 1.23 x
1045 is written 1.23E45).
A particle with a size just below r* is unstable but a particle with a size
2)
just above r* is stable. What comments would you make on this statement? If you agree
then, why are the particles just above (very little bigger than r*) a critical size r*
thermodynamically stable even though the energy (Gibbs free energy) is positive.
a)
A 4G,
surface energy
4xr'y
AG
Volume free energy
Excess free energy
AG.
b)
Why the free energy vs particle radius curves for homogeneous and
heterogeneous nucleation differs.
CAG,
AG
AG
JAGeter
AGoma
For an ideal gas of classical non- interacting atoms in thermal equilibrium, the Cartesian
component of the velocity are statistically independent. In three dimensions, the probability
density distribution of the velocity is:
where σ² =
kBT
m
P(Vx, Vy, Vz) = (2nо²)-³/² exp
20²
1. Show that the probability density of the velocity is normalized.
2. Find an expression of the arithmetic average of the speed.
3. Find and expression of the root-mean-square value of the speed.
4. Estimate the standard deviation of the speed.
Chapter 7 Solutions
An Introduction to Thermal Physics
Ch. 7.1 - Prob. 1PCh. 7.1 - Prob. 3PCh. 7.1 - Prob. 4PCh. 7.1 - Show that when a system is in thermal and...Ch. 7.1 - Prob. 7PCh. 7.2 - Prob. 8PCh. 7.2 - Prob. 9PCh. 7.2 - Prob. 11PCh. 7.2 - Prob. 12PCh. 7.2 - Prob. 13P
Ch. 7.2 - Prob. 14PCh. 7.2 - Prob. 15PCh. 7.2 - Prob. 16PCh. 7.2 - Prob. 17PCh. 7.2 - Prob. 18PCh. 7.3 - Prob. 19PCh. 7.3 - Prob. 20PCh. 7.3 - Prob. 21PCh. 7.3 - Prob. 22PCh. 7.3 - Prob. 24PCh. 7.3 - Prob. 25PCh. 7.3 - Prob. 26PCh. 7.3 - Prob. 29PCh. 7.3 - Prob. 32PCh. 7.3 - Prob. 33PCh. 7.3 - Prob. 34PCh. 7.4 - Prob. 37PCh. 7.4 - Prob. 38PCh. 7.4 - Prob. 39PCh. 7.4 - Prob. 40PCh. 7.4 - Prob. 41PCh. 7.4 - Prob. 42PCh. 7.4 - Prob. 43PCh. 7.4 - Prob. 44PCh. 7.4 - Prob. 45PCh. 7.4 - Prob. 46PCh. 7.4 - Prob. 47PCh. 7.4 - Prob. 48PCh. 7.4 - Prob. 49PCh. 7.4 - Prob. 50PCh. 7.4 - Prob. 51PCh. 7.4 - Prob. 52PCh. 7.4 - Prob. 53PCh. 7.4 - Prob. 54PCh. 7.4 - Prob. 55PCh. 7.4 - Prob. 56PCh. 7.5 - Prob. 57PCh. 7.5 - Prob. 58PCh. 7.5 - Prob. 59PCh. 7.5 - Prob. 60PCh. 7.5 - The heat capacity of liquid 4He below 0.6 K is...Ch. 7.5 - Prob. 62PCh. 7.5 - Prob. 63PCh. 7.5 - Prob. 64PCh. 7.6 - Prob. 65PCh. 7.6 - Prob. 66PCh. 7.6 - Prob. 67PCh. 7.6 - Prob. 68PCh. 7.6 - If you have a computer system that can do...Ch. 7.6 - Prob. 70PCh. 7.6 - Prob. 71PCh. 7.6 - Prob. 72PCh. 7.6 - Prob. 73PCh. 7.6 - Prob. 75P
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