Homework NC

# Homework NC - Homework C PHY4523 Each problem 10 pts except for(5 pts Due 1(22.5 Typo in the problem It should be ZN = Z1N/N(1st ed Consider N as a

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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 , Stefan-Boltzmann 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 black-body 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  ) .

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## 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.

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Homework NC - Homework C PHY4523 Each problem 10 pts except for(5 pts Due 1(22.5 Typo in the problem It should be ZN = Z1N/N(1st ed Consider N as a

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