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Prob. 16. A hypothetical system contains two different particles, each of which is capable of having the energies e: 0, 1, 4, 9,..., i^2,..., (x0). Assume that there is no interaction energy between the particles so that the total energy of the system is E = e1 + e2. (a) Some of the values of Wi, the number of degeneracy of energy level l, are listed in the table. Complete this table. 1 Ei Particles Wi 1 2 0 0 0 9 0 0 3 0 0 0 1 2 3 4 5 6 0 10 20 40 50 0 9 0 3 40 40 1 2 1 (b) Determine the values of e - Ei in (a), if e0 = 1. (c) Determine the partition function for a canonical ensemble, making the assumption that only five energy levels l = 0, 1, 2, 3, 4 are needed, and the contribution from higher energy levels can be ignored. (d) What is E?

          Prob. 16. A hypothetical system contains two different particles, each of which is capable of having the energies e: 0, 1, 4, 9,..., i^2,..., (x0).
Assume that there is no interaction energy between the particles so that the total energy of the system is E = e1 + e2.

(a) Some of the values of Wi, the number of degeneracy of energy level l, are listed in the table. Complete this table.

1
Ei
Particles
Wi
1
2
0
0
0
9
0
0
3
0
0
0
1
2
3
4
5
6
0
10
20
40
50
0
9
0
3
40
40
1
2
1

(b) Determine the values of e - Ei in (a), if e0 = 1.

(c) Determine the partition function for a canonical ensemble, making the assumption that only five energy levels l = 0, 1, 2, 3, 4 are needed, and the contribution from higher energy levels can be ignored.

(d) What is E?

prob 16 a hypothetical system contains two different particleseach of which is capable of having the energies e 0149i2xo assume that there is no interaction energy between the molecules so t 03215

Added by Jeff N.

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