DubininRaduskevichrelációkat

DubininRaduske is a mathematical model used to describe the adsorption of gases and solutes onto porous materials. Developed by Andrey Dubinin and later refined by L. V. Radushkevich, the model is particularly effective for explaining adsorption phenomena in activated carbons and other microporous adsorbents. The core of the Dubinin-Raduske equation, often referred to as the Dubinin-Radushkevich (D-R) equation, relates the amount of adsorbate taken up by a solid to the pressure of the adsorbate in the gas phase.

The equation is typically expressed as: x/m = Xm * exp(-k * (epsilon)^2), where x/m is the amount of adsorbate adsorbed per unit mass of adsorbent, Xm is the limiting adsorption capacity, k is a constant related to the adsorbent's pore structure and the adsorbate's properties, and epsilon is the Polanyi potential. The Polanyi potential is defined as epsilon = RT * ln(P0/P), where R is the ideal gas constant, T is the absolute temperature, P0 is the saturation vapor pressure of the adsorbate, and P is the equilibrium pressure.

The Dubinin-Raduske equation is based on the theory of volume filling of micropores. It assumes that the adsorption process occurs in micropores (pores with a width less than 2 nm) and that the adsorption energy is related to the size of the micropores. The model is widely used in environmental engineering for studying the removal of pollutants from air and water, as well as in material science for characterizing porous materials. While it has limitations and other models exist, the Dubinin-Raduske equation remains a valuable tool for understanding and predicting adsorption behavior in many practical applications.