Explanation:
Entropy means the amount of randomness present within the molecules of the body of a substance.
Relation between entropy and microstate is as follows.
S =
where, S = entropy
= Boltzmann constant
= number of microstates
This equation only holds good when the system is neither losing or gaining energy. And, in the given situation we assume that the system is neither gaining or losing energy.
Also, let us assume that = 1, and
= 0.833
Therefore, change in entropy will be calculated as follows.
=
=
=
or, =
Thus, we can conclude that the entropy change for a particle in the given system is J/K particle.