2. Let index y(= 1, 2, ...) enumerate the N-particle states. Let fy(T,V, N) denote the probability for a system with giv

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2 Let Index Y 1 2 Enumerate The N Particle States Let Fy T V N Denote The Probability For A System With Giv 1 (129.48 KiB) Viewed 77 times

2. Let index y(= 1, 2, ...) enumerate the N-particle states. Let fy(T,V, N) denote the probability for a system with given values of N, V and T to be found in 7th state. a) Show that the rate of change of fy with temperature can be written as df,/dT = (E, - Ē) f/(KT), where E is the average energy. b) Using the result in part (a) show that heat capacity Cv (= (aĒ/BT),N) is related to the energy fluctuations via Cy = {E2 – (E)?}/(kT2).