4. Consider a system of non-interacting, identical but distinguishable particles. Using the canonical ensemble demonstrate that...

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4. Consider a system of non-interacting, identical but distinguishable particles. Using the canonical ensemble demonstrate that U (T,V,N) NkT? -In Z F(T,V,N) -NKT In Z1 (T, V) S(T,V,N) Nk T InZ + InZ1 where Z1 (T, V) = Z(T,V, 1) is the one-particle partition function. Which of these equations is fundamental?. 4. Consider a system of non-interacting, identical but distinguishable particles. Using the canonical ensemble demonstrate that U (T,V,N) NkT? -In Z F(T,V,N) -NKT In Z1 (T, V) S(T,V,N) Nk T InZ + InZ1 where Z1 (T, V) = Z(T,V, 1) is the one-particle partition function. Which of these equations is fundamental?.