Prove that entropy is a state function.
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A: I have written formula
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Q: Consider a system in thermal equilibrium, having energies 0 and 'E'. Find the partition function (Z)…
A: given,energy =0, Epartition function Z =∑gie-βEii=12where gi is degenracy of ith stateEi is energy…
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A: The answer is given below
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Q: Problem 3: Consider an Einstein solid with N oscillators and total energy U = qe, in the limit N,q »…
A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…
Q: Consider a three-level system with separations of & and 2. Plot the partition function as function…
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A: We know, the formula for entropy when probability Pr of different levels are given is: S=-kB ∑rPr…
Q: A system of three particles can possess four energies 0, E, 2E, and 4E with degeneracy 1,3,5,6…
A:
Q: |Calculate the change in entropy in cal/K for a sample of water with mass m= 1.6 kg and changing…
A: mass of water m = 1.6 kg initial temperature is T1 = 24.2 oC = 24.2 + 273.15 = 297.35 K final…
Q: The volume of a monatomic ideal gas triples in an isothermalexpansion. By what factor does its…
A: initial volume = V final volume = 3 V
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A: The partition of the system is given by Where gi = Degeneracy of the state, Ei = Energy of the…
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A:
Q: A highly non-ideal gas has an entropy given by S=aNU/V, where the internal energy, U is a function…
A: A highly non-ideal gas has an entropy given by S=aNUV, Where the internal energy, U, is a function…
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A: Given values: n= 5,p= 16,q= 1-pq= 1-16q= 56 . Assume "X" be the number "6" in the event at uppermost…
Q: Consider a system of two Einstein solids, with NA = 300, NB = 200, and qtotal = 100 Compute the…
A: The entropy is, Here, is the Boltzmann constant and is the total number of macro states. The most…
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A: 2D gas Number of molecules = N Surface area = A
Q: The natural variables for the internal energy U are the entropy S and the volume V. This means that,…
A: Given:- PT= ∫∂U∂VT dTT2 +fV
Q: Consider a system of N non-interacting distinguishable particles in which the energy of each…
A: a) Find the entropy of this system as a function of E solution;
Prove that entropy is a state function.
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