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Isolated system A has non-degenerate single particle quantum energy levels of energy 0, 2, 4, 6, 8, 10 energy units and consists of one red particle of spin zero having an energy of 6 energy units. Isolated system B has non-degenerate single particle quantum energy levels of energy 0, 1, 2, 3 ... 10 energy units, and consists of two non-interacting particles of spin zero, coloured white and blue respectively. The total energy of the white and the blue particles is 2 energy units. List the microstates accessible to each isolated system. The two systems are placed in thermal contact. What is the number of microstates accessible to the composite system? What is the increase in entropy? Calculate the ensemble averages of the energies of both systems after they are placed in thermal contact. Repeat the calculations for the case when the particles are identical bosons of spin zero.

          Isolated system A has non-degenerate single particle quantum energy levels of energy 0, 2, 4, 6, 8, 10 energy units and consists of one red particle of spin zero having an energy of 6 energy units. Isolated system B has non-degenerate single particle quantum energy levels of energy 0, 1, 2, 3 ... 10 energy units, and consists of two non-interacting particles of spin zero, coloured white and blue respectively. The total energy of the white and the blue particles is 2 energy units. List the microstates accessible to each isolated system. The two systems are placed in thermal contact. What is the number of microstates accessible to the composite system? What is the increase in entropy? Calculate the ensemble averages of the energies of both systems after they are placed in thermal contact. Repeat the calculations for the case when the particles are identical bosons of spin zero.

Isolated system A has non-degenerate single particle quantum energy levels of energy 0, 2, 4, 6, 8, 10 energy units and consists of one red particle of spin zero having an energy of 6 energy units. Isolated system B has non-degenerate single particle quantum energy levels of energy 0, 1, 2, 3 ... 10 energy units, and consists of two non-interacting particles of spin zero, coloured white and blue respectively. The total energy of the white and the blue particles is 2 energy units. List the microstates accessible to each isolated system. The two systems are placed in thermal contact. What is the number of microstates accessible to the composite system? What is the increase in entropy? Calculate the ensemble averages of the energies of both systems after they are placed in thermal contact. Repeat the calculations for the case when the particles are identical bosons of spin zero.

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