The Reddy-O'Shea (RO) and Cuadros-Mulero (CM) equations of state for two-di
mensional Lennard-Jones fluids have been used to obtain the isosteric heat
of adsorption of simple fluids onto flat surfaces. The results are compared
with a set of available experimental data, observing a large degree of agr
eement, especially when the more simple CM equation of state is used. Anoth
er advantage of the CM equation is that it is based on the Weeks-Chandler-A
ndersen theory for simple fluids. In light of these results, we propose, as
a first approach, the application of the CM model to describe the thermody
namics of the adsorption of simple fluids onto flat surfaces.