the total energy. As this expression for function
is free from all location co-ordinates
, we see that this state of thermal equilibrium is independent of these space co-ordinates and conclude that in this state the molecules are uniformly distributed in space; only the velocities are variously distributed, all of which accords with the earlier presentation. Substituting the results of (19) in the general equation (18) there results for the entropy S of the state of equilibrium of a monatomic gas,
To make Eq. (20) practically serviceable we need to know the constants
and
