Relation between pressure and Kinetic energy
we know that work done equals the change in kinetic energy
so,
W = dE
and work done is also equal to the produce of pressure and change in volume. So,
W = P.dV
thus, from (1) and (2), we get
dE = P.dV
or pressure
P = dE/dV
which is proportional the change of energy with volume