This preview shows pages 1–2. Sign up to view the full content.
Homework C
PHY4523
Due: March 14, 2011
Each problem 10 pts except for * (5 pts).
1. (22.5)*
Typo in the problem.
It should be
Z
N
= Z
1
N
/N!
(1
st
ed.) Consider N as a
variable.
3. (22.6) only (a) and (b).
The single particle partition function in ideal gas is Z
1
=
V/
th
3
.
You know this relation was derived based on the ground state energy is at zero.
For an hydrogen atom the ground state energy is at R = 13.6 eV so you need a factor e
R
to shift this amount of energy, Z
1
= V/
th
3
e
R
.
4. (23.1)
Power radiated per unit area, P =
T
4
, StefanBoltzmann Law.
5. (23.5)
From the central eq. of thermodynamics! For (d), using the result of (b) one can
prove that keeping p constant results in constant T.
So no matter how much heat you put,
T will not change as far as p is kept constant!
6. (23.3)
You may do (c) before (b).
7. (23.6)
8.
In class, we derived the spectral density of blackbody radiation,
3
23
1
u
ce
.
(a) From this derive another expression of the spectral density as a function of
wavelength,
5/
8
(1
hc
hc
u
e
)
.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 12/15/2011 for the course PHY 4523 taught by Professor Hill during the Spring '08 term at University of Florida.
 Spring '08
 Hill
 Physics, Work

Click to edit the document details