(3) Let us assume that there are four distinguishable particles (A, B, C and D) and they occupy five energylevels, namely, 0J, 1J, 2J, 3J and 4J and coefficient refers to each of that level. For example, particleoccupy OJ will have zero joules, if 2 particles occupy 1J, each particle has 1J unit energy. There is norestriction of occupancy of number of paricles in any energy levels. Total energy is 4 unit. Determinethe total number of distributions that will give a total energy of 4J and show their arrangements as afigure(4) Show that the chemical potential from Aink and from Gink for an ideal gas is the same.(5) Derive the Maxwell-Boltzmann distribution law for distinguishable particles and no limitation for theoccupation can be shown as;A,KTHint: Use the same mathematical steps as Bose-Einstein and Fermi-Dirac statistical methods. Let thetotal number of ways of distribution of N species in groups of N, at A, levels is:Q = N!II-* N,!(6) Using the Maxwell-Boltzmann distribution show that= NkOIn zIn zdisENhv,Nhy,:(7) Show that=Given: z1-e T(8) Show that expression of pressure is same for both indistinguishable and distinguishable particles.Hint: define the pressure using the Helmholtz free energy.

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Answered: (3) Let us assume that there are four…

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