a.Consider a hypothetical gas of four distinguishable particles, labeled W, X, Y and Z. Assume that...

a.Consider a hypothetical gas of four distinguishable particles, labeled W, X, Y and Z. Assume that they are distributed between only two translational quantum states of energies 2E and 4E. How many different configurations of this gas are there?

b.Consider a hypothetical gas of three distinguishable particles, labeled A, B and C. Each of the particles has only three quantum states of energies 5E, 10E and 15E. How many different configurations of this gas have a total energy of 30E?

c.Consider a hypothetical gas of three identical particles, each of which has only three quantum states of energies 3E, 6E and 9E. List all the different configurations of this gas that have a total energy of 18E assuming that the particles are (i) identical bosons and (ii) identical fermions.

d.Consider a hypothetical gas of four identical bosons, each of which has only four quantum states of energies E, 2E, 3E and 4E. Suppose the total energy of the gas is fixed at 12E. Determine the probability of finding all four particles in the same quantum state.

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genius_generous answered 1 year ago

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