Distribution of pore area and pore volume Sample Clauses

Distribution of pore area and pore volume. To ca1culate the distribution of pore area and pore volume as a function of pore size, the isotherm is divided into a suitable number of intervals, each of them corresponding to a small relative pressure range defined by its mean value. The calculation is worked downwards from saturation and for the kth interval, characterized by a pressure pk, the specific surface area, Sk and the volume Vk of the pores of radius rpk are given by: where ΔVk is the variation of the adsorbed or desorbed volume on the kth interval (in m³ STP gas/kg of adsorbent) f is the shape factor as defined in paragraph 8.2. rpk and tk. k are the solutions of equations (14) and (15) if the adsorption branch of the isotherm is considered, and of equations (14) and (16) if the desorption branch is used ti,k for i = 1, ... , (k - 1), are the solutions of equation (14) for each pair pk, rpi The relations (17) and (18) have been obtained according to a line of reasoning similar to the one developed by Xxxxxxx, Xxxxxx and Xxxxxxx [39] in their simple BJH method based on a cylindrical pore model and the uncorrected Xxxxxx-equation. The relations proposed by these authors are only a particular limiting case of equations (17) and (18). The latter are of general interest, for they are applicable to both adsorption and desorption isotherms, whatever the pore shape and the adsorbent-adsorbate interactions. By plotting as a function of rk the values of Sk and Vk calculated by equations (17) and (18), the distributions of pore area and pore volume with respect to pore size are obtained. The cumulative specific surface area Scum and the cumulative pore volume Vcum are defined by the sum on k of all the Sk or Vk values.
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