Question

12-6 Consider a model thermodynamic assembly in which the allowed (nondegenerate) states have energies 0, ε, 2ε, 3ε. The assembly has four distinguishable (localized) particles and a total energy $U = 6\epsilon$. (a) Tabulate the nine possible distributions of the four particles among the energy levels $n\epsilon$, where $n = 0, 1, \dots$ (b) Evaluate $w_k$ for each of the macrostates and calculate $\Omega = \sum_k w_k$. (c) Calculate the average occupation numbers $\bar{N_j} = \sum_k N_{jk} w_k / \Omega$ of the four particles in the energy states.

Name: 12 6 consider a model thermodynamic assembly in which the allowed nondegenerate states have energies 0 2 3 the assembly has four distinguishable localized particles and a total energy u 6eps 87347
Uploaded: 2023-03-12T06:54:34-08:00
Duration: 1 min 45 s
Channel: Sri K
Description: 12 6 consider a model thermodynamic assembly in which the allowed nondegenerate states have energies 0 2 3 the assembly has four distinguishable localized particles and a total energy u 6eps 87347

          12-6 Consider a model thermodynamic assembly in which the allowed (nondegenerate) states have energies 0, ε, 2ε, 3ε. The assembly has four distinguishable (localized) particles and a total energy $U = 6\epsilon$.
(a) Tabulate the nine possible distributions of the four particles among the energy levels $n\epsilon$, where $n = 0, 1, \dots$
(b) Evaluate $w_k$ for each of the macrostates and calculate $\Omega = \sum_k w_k$.
(c) Calculate the average occupation numbers
$\bar{N_j} = \sum_k N_{jk} w_k / \Omega$
of the four particles in the energy states.

12 6 consider a model thermodynamic assembly in which the allowed nondegenerate states have energies 0 2 3 the assembly has four distinguishable localized particles and a total energy u 6eps 87347

Added by Tamara B.

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