Abstract
During studying the heat capacity of metals and brightening more than the original Lena’s image, the temperature increasing term obtained in binomial expansion is transformed into the adsorption increasing term and thereafter we have derived the total adsorption rate equation with it. In the first layer the quantization does not occur and from 2nd layer to nth layer the quantization occurs. So as to get the total adsorption rate equation we add the quantized terms of the second to nth layers to the non-quantized term of the first layer. All terms are based on the unit surface sites. Instead of the unit surface sites, the new adsorption site term appears in the denominator of the adsorption equation. Hence the adsorption equations come out much better than BET equation. The surface area is also calculated through the integration of the adsorption isotherm equation excluding the first layer adsorption equation from the inflection point to the wanted relative pressure.
Highlights
We derived the heat capacity equations of metals and used consistent step multiplication of the appropriate binomial equations [1]
Specific surface areas are changed according to the relative pressures
The total adsorption rate equations closely related with the past references are derived correctly and the figures according to four constants ( m, n, βa, ga ) are considered to describe BET-like figures well
Summary
We derived the heat capacity equations of metals and used consistent step multiplication of the appropriate binomial equations [1]. They are fitted to experimental data well [2]. The heat capacity equation (type V) and the adsorption equation (type II) draw sigmoid (S character) lines all together. The measurement gases of heat capacity are hydrogen and helium. The adsorption gases are vapor and nitrogen. The movements of their measurement gases are different.
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