Given the equation of ㅠ $(e) = () (2me) ³/2 m represents the mass, and cubical box of side L a) Please calculate the (e) # of states that are in the interval, e and € + de, b) Your next task is to demonstrate that 1019 states lie from € to € + de. You would choose your de to be 10-24 erg (safely smaller than e) 6 x 10-14 erg. c) Argon atom at a room temp has energy typical of Make a very rough numerical estimate of N(E) for a liter of argon gas at room tempera- ture if E= Ne (N is the number of atoms in the liter), and & E= 10-24 erg. Perhaps this will convince you that In (22) is a more tractable quantity than 2. [Hint: First estimate (E) for the gas by assuming that each atom has any energy up to e and can be in any one of the states found in part (c).]

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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ChapterMA: Math Assessment
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Need help with this Statistical Mechanics Problem!

Given the equation of
øle) = G (2me)/2.
T ( L
6 (Th
$(e)
m represents the mass, and cubical box of side L
a) Please calculate the 2(e) #of states that are in the interval, e and e + de,
b) Your next task is to demonstrate that 1019 states lie from e to e+ de.
You would choose your de to be 10-24 erg (safely smaller than e)
6 x 10-14
erg.
c) Argon atom at a room temp has energy typical of
| Make a very rough numerical estimate of N(E) for a liter of argon gas at room tempera-
ture if E = Ne (N is the number of atoms in the liter), and &E = 10–24 erg. Perhaps this
will convince you that In(2) is a more tractable quantity than 2. [Hint: First estimate
(E) for the gas by assuming that each atom has any energy up to e and can be in any
one of the states found in part (c).]
Transcribed Image Text:Given the equation of øle) = G (2me)/2. T ( L 6 (Th $(e) m represents the mass, and cubical box of side L a) Please calculate the 2(e) #of states that are in the interval, e and e + de, b) Your next task is to demonstrate that 1019 states lie from e to e+ de. You would choose your de to be 10-24 erg (safely smaller than e) 6 x 10-14 erg. c) Argon atom at a room temp has energy typical of | Make a very rough numerical estimate of N(E) for a liter of argon gas at room tempera- ture if E = Ne (N is the number of atoms in the liter), and &E = 10–24 erg. Perhaps this will convince you that In(2) is a more tractable quantity than 2. [Hint: First estimate (E) for the gas by assuming that each atom has any energy up to e and can be in any one of the states found in part (c).]
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