The reaction has a certain entropy change .
The reaction is exothermic so it will heat the contents of the adiabatic
container, resulting in an entropy increase
. Since the reaction is spontaneous,
the second law requires that
, i.e.\
that
.
Note that
so that we cannot determine the
sign of
from this argument. It is tempting to
conclude that
is positive (due to the gaseous product), but it is in
fact negative. Roughly speaking, the ionic products organize the
solution in a way which more than compensates for the increased
disorder due to the hydrogen gas.