Suppose a system contain four identical particles and five energy levels given by the relationship, E;= i × 10¬20 J, where i = 0 ,1,2 ,3,4. If the total energy of the system is Er= 6 E. Find the total number of the microscopic states for the distribution of these particles over the system energy levels keeping the given system conditions. Solution 4 identical particles Energy Macroscopic state (10-* Joule) 4 Er= 6 € Levels 2 1 2 Ea (10~º J) k 1 4 7 0. N! Wk = na!n,!n,!n3!ng! Sk = kglnwk

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Suppose a system contain four identical particles and five energy levels given by the
relationship, E;= i × 10-2º J, where i = 0,1,2 ,3,4. If the total energy of the system is
Er= 6 E. Find the total number of the microscopic states for the distribution of these
particles over the system energy levels keeping the given system conditions.
Solution
4 identical particles
Energy
(10- Joule)
Macroscopic state
4
Er= 6 €
3
Levels
1
E2
E (10-º J)
k
1
2
4
5
6
7
N!
Wk
no! n!n2!n3!n4!
Sk = kglnwk
Transcribed Image Text:Suppose a system contain four identical particles and five energy levels given by the relationship, E;= i × 10-2º J, where i = 0,1,2 ,3,4. If the total energy of the system is Er= 6 E. Find the total number of the microscopic states for the distribution of these particles over the system energy levels keeping the given system conditions. Solution 4 identical particles Energy (10- Joule) Macroscopic state 4 Er= 6 € 3 Levels 1 E2 E (10-º J) k 1 2 4 5 6 7 N! Wk no! n!n2!n3!n4! Sk = kglnwk
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