For a given thermodynamic system, the number of available macro states is accessible. Among
these macro states, it is assumed that all have equal probability of occurrence. Most of these
macro states are disordered.
All of the physical processes that take place in a system tend to cause the system and its
surroundings to move towards more probable macro states and hence towards randomness.
Thus, the entropy of the system increases. Hence, it can be concluded that the
entropy of the
universe increases in all real processes. This statement is equivalent to that of Kelvin-Planck and
Clausius statements.
A Statistical View of Entropy:
In the statistical point of view a given macro state can have a number of microstates so that the
entropy can be considered as the measure of microscopic disorder. And there is more number of
disordered microstates than the ordered ones. For a given macro state, the entropy can be
connected with the number of microstates as:
where kB is the Boltz-mann constant and W
is the number of microstates available to the system
for the existing macro state. Because of the statistical tendency of systems to proceed towards the
states of greater probability and greater disorder, all natural processes are irreversible, and for
them the entropy increases.