A statistical approach was applied to describe the model of a homogeneous m
icroporous adsorbent and obtain the dependences of the thermodynamic functi
ons on the number of molecules and the temperature for molecular aggregates
in discrete micropores over a wide region of fillings that lead to the Dub
inin-Radushkevich equation. The energy nonuniformity of the adsorption spac
e is the fundamental property of carbon adsorbents. In the region of small
fillings, the statistical approach leads to Henry's law and the finite valu
e of the initial differential energy of adsorption. The value of sorption c
orresponding to the saturated vapor pressure decreases with increasing temp
erature, but the decrease is considerably less than for the density of the
corresponding liquid.