An Introduction to Thermal Physics
1st Edition
ISBN: 9780201380279
Author: Daniel V. Schroeder
Publisher: Addison Wesley
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Question
Chapter 3.3, Problem 25P
(a)
To determine
The expression for the entropy of an Einstein solid as a function of N and q.
The reason for the omit of factors from the formula as there is no effect on the entropy, when N and q are large.
(b)
To determine
The temperature of an Einstein solid as a function of its energy.
(c)
To determine
The energy as a function of temperature and differentiating it to find the heat capacity expression.
(d)
To determine
Heat capacity is
(e)
To determine
The graph of
The heat capacity at low temperature comparing the data for lead, aluminum and diamond.
The value of
(f)
To determine
The accurate approximate for heat capacity at high temperature.
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Statical Mechanics (Thermal and Statical Physics)
Instruction:
Write ALL the solutions of this (necessary or and not direct answer). Write also the equations that are needed to solve for a certain problem. Thank you.
Problem: Now, we have the number of microstates and in between E and E + ∆E in isolated system of N particles in the volume V is given by: (Please see the image attached)
Where a,b, c are constants.
Note: Answer also letter A-D
Prove that the entropy S of an ideal gas [Sackur and Tetrode's equation] is an extensive quantity.
Then show that the entropy of the gas of particles to be separated from each other is
3
S = NKB
— Nku [2 - In (2/V)],
and that this quantity is not extensive.
Remember: by extensiveness we mean that if we scale the size of the system by a factor a (V
→ a V, N a N, but the particle density n = N/V remains constant), any extensive quantity
a s)
also scales by a factor a (here: S
→
Statistical Physics
This is the chemical potential of an ideal gas.
The second image is the answer to 4.20 problem. Please generate a solution for this problem (to validate the given answer). Thank you!
Chapter 3 Solutions
An Introduction to Thermal Physics
Ch. 3.1 - Use Table 3.1 to compute the temperature of solid...Ch. 3.1 - Use the definition of temperature to prove the...Ch. 3.1 - Figure 3.3 shows graphs of entropy vs. energy for...Ch. 3.1 - Can a miserly system, with a concave-up...Ch. 3.1 - Prob. 5PCh. 3.1 - Prob. 6PCh. 3.1 - Prob. 7PCh. 3.2 - Prob. 8PCh. 3.2 - In solid carbon monoxide, each CO molecule has two...Ch. 3.2 - An ice cube (mass 30 g) at 0C is left sitting on...
Ch. 3.2 - In order to take a nice warm bath, you mix 50...Ch. 3.2 - Estimate the change in the entropy of the universe...Ch. 3.2 - When the sun is high in the sky, it delivers...Ch. 3.2 - Experimental measurements of the heat capacity of...Ch. 3.2 - Prob. 15PCh. 3.2 - A bit of computer memory is some physical object...Ch. 3.3 - Prob. 17PCh. 3.3 - Prob. 18PCh. 3.3 - Prob. 19PCh. 3.3 - Prob. 20PCh. 3.3 - Prob. 21PCh. 3.3 - Prob. 22PCh. 3.3 - Prob. 23PCh. 3.3 - Prob. 24PCh. 3.3 - Prob. 25PCh. 3.3 - Prob. 26PCh. 3.4 - What partial-derivative relation can you derive...Ch. 3.4 - A liter of air, initially at room temperature and...Ch. 3.4 - Sketch a qualitatively accurate graph of the...Ch. 3.4 - As shown in Figure 1.14, the heat capacity of...Ch. 3.4 - Experimental measurements of heat capacities are...Ch. 3.4 - A cylinder contains one liter of air at room...Ch. 3.4 - Prob. 33PCh. 3.4 - Polymers, like rubber, are made of very long...Ch. 3.5 - Prob. 35PCh. 3.5 - Prob. 36PCh. 3.5 - Prob. 37PCh. 3.5 - Suppose you have a mixture of gases (such as air,...Ch. 3.6 - Prob. 39P
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