Mathematical Modeling of Moisture Sorption Isotherms and Determination of Isosteric Heats of Sorption of Ziziphus Leaves

Table 2

Mathematical models used to describe desorption and adsorption isotherms of Ziziphus spina-christi leaves.

Models names	Models equations	References
GAB	𝑋𝑒=𝐶𝐴𝐵𝑎𝑤1−𝐵𝑎𝑤1−𝐵𝑎𝑤+𝐴𝐵𝑎𝑤	Iglesias and Chirife (1995) [34]
BET	𝑋𝑒=𝐴𝐵𝑎𝑤1−𝑎𝑤1+(𝐴−1)𝑎𝑤	BET (1938) [35]
Henderson-Thompson	𝑋𝑒=ln1−𝑎𝑤−𝐴(𝑇+𝐵)^1/𝐶	Henderson (1952) [36]
Modified Chung and Pfost	𝑋𝑒=𝐴−𝐵ln𝑎𝑤ln(−𝑇+𝐵)	Chung and Pfost (1967) [37]
Halsey	𝑋𝑒−𝐵=𝐴ln𝑎𝑤^1/𝐶	Halsey (1948) [38]
Oswin	𝑋𝑒𝑎=𝐴^𝑤1−𝑎𝑤^𝐵	Chen (1990) [39]
Peleg	𝑋𝑒=𝐴𝑎𝑤^𝐵+𝐶𝑎𝑤^𝐷	Peleg (1993) [40]
Adam and Shove	𝑋𝑒=𝐴+𝐵𝑎𝑤+𝐶𝑎𝑤^2+𝐷𝑎𝑤^2	Chirife and Iglesias (1978) [41]

Where 𝐴, 𝐵, 𝐶, and 𝐷 are parameters of the equations, 𝑇 is temperature (°C), 𝑋_𝑒 is equilibrium moisture content (kg/kg d.b.), and 𝑎_𝑤 is the water activity.