Microstates,W, that belongs to a given energy of a system or substance. (The pro

Question

Microstates,W, that belongs to a given energy of a system or substance. (The proportionality constant k, is now known as the Boltzmann's constant) Within microstates, it turns out that those stales that disperse energy over the largest number of atoms are vastly more probable than the other possible states. With this in mind, consider the following problem. Suppose that a system of three particles, call them 1, 2, and 3, have the possibility of occupying energy states of 0, 10, or 20 joules. Collectively, the particles must have 30 joules of total energy. Show all the other energetically equivalent configurations in the empty areas above (there may be an excess of configurations available, do not fill them all!). Which configuration has the greatest (most stable) entropy (occurs most often)?

Explanation / Answer

For question 1;

Possibility of occupying energy states:

a:

b:

c:

d:

e:

f:

The most common configuration shows a particle in each state.

20J 3 10J 2 0J 1

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