Table 1 Mathematical models applied to the actual sorption isotherm data of VDBD and FDBD.

1

Peleg

\(\:{X}_{e}={\complement\:}_{1}{\left({a}_{w}\right)}^{{C}_{2}}+{\complement\:}_{3}{\left({a}_{w}\right)}^{{C}_{4}}\)

Peleg²¹

2

GAB

\(\:{X}_{e}=\frac{{\text{X}}_{m\:}CK\:{a}_{w}}{\left(1-K{a}_{w}\right)\left(1-K{a}_{w}+CK\:{a}_{w}\right)}\)

Van den Berg⁵³

3

BET

\(\:{X}_{e}=\frac{{\text{X}}_{m\:}C{a}_{w}}{\left(1-{a}_{w}\right)(1-{a}_{w}+C{a}_{w})}\)

Brunauer²⁶

4

Halsey

\(\:{X}_{e}={\left(-\frac{A}{\text{ln}{a}_{w}}\right)}^{1/B}\)

Halsey²⁴

5

Oswin

\(\:{X}_{e}=A{\left({a}_{w}/1-{a}_{w}\right)}^{B}\)

Oswin²²

6

Smith

\(\:{X}_{e}=A-B\left(ln\left(1-{a}_{w}\right)\right)\)

Smith²⁷

7

Adam and Shove

\(\:{X}_{e}=A+B{a}_{w}+C{{a}_{w}}^{2}+D{{a}_{w}}^{3}\)

Chirife³⁰