21.33 A certain hypothetical system is composed of 1 mole of identical, noninteracting, indistinguishable particles. Each particle has available to it only three energy levels, whose energies and degeneracies are e, =0, g,=1; ɛ,/k =100K , 82 = 3; e,/k= 300K, g,=5. (k is Boltzmann's constant.) (a) Calculate Z at 200 K. (b) Calculate the average number of molecules in each level at 200 K. (c) Calculate the average number of molecule in each level in the limit T ~ 00.

Chemistry: Principles and Reactions
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Chapter18: Nuclear Reactions
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21.33 A certain hypothetical system is composed of 1 mole of identical,
noninteracting, indistinguishable particles. Each particle has available to it only three
energy levels, whose energies and degeneracies are e, =0, g,=1; ɛ,/k =100K ,
82 = 3; e,/k= 300K, g,=5. (k is Boltzmann's constant.)
(a) Calculate Z at 200 K.
(b) Calculate the average number of molecules in each level at 200 K.
(c) Calculate the average number of molecule in each level in the limit T ~ 00.
Transcribed Image Text:21.33 A certain hypothetical system is composed of 1 mole of identical, noninteracting, indistinguishable particles. Each particle has available to it only three energy levels, whose energies and degeneracies are e, =0, g,=1; ɛ,/k =100K , 82 = 3; e,/k= 300K, g,=5. (k is Boltzmann's constant.) (a) Calculate Z at 200 K. (b) Calculate the average number of molecules in each level at 200 K. (c) Calculate the average number of molecule in each level in the limit T ~ 00.
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