4) If two identical particles are
grouped into three cells having
energies 1.2% 3 ev respectively
then find the total thermodynamic
probability for B-E & F. Statistics
Answers
Answer:
Statistical theory of thermodynamics
In this chapter, we will focus on two topics: (a) foundation of statistical mechanics
and (b) application to isolated systems.
So far, we have only calculated the entropy changes but never the absolute value.
The classical theory of thermodynamics leaves important questions unanswered, e.g.,
• What really is entropy?
• Why does entropy increase?
• Can we deduce equation of state of real thermodynamic systems from first
principles?
The statistical theory addresses these. In particular, we all say that entropy is a
measure of disorder but how do we measure disorder? In addressing this question, we
need to know the state of each particle’s motion in the system, i.e., microstates of a
thermodynamic system. Hence we may say
Entropy → Disorder → Microstates
and we will provide a precise relation between these. We will be able to answer why
always ∆S ≥ 0 in a probabilistical way, namely, the opposite direction of the changes
are very unlikely.