Table 3 The estimated constants of the models applied to the actual adsorption and desorption data of FDBD at different temperatures.

From: Mathematical modeling of sorption isotherms and the thermodynamic properties of vacuum-dried and freeze-dried Barhi dates

Parameter

Adsorption

Desorption

25 °C

35 °C

45 °C

25 °C

35 °C

45 °C

Peleg model

C1

0.39

0.58

0.22

1.01

0.14

1.51

C2

2.94

2.75

1.50

4.41

0.00

5.26

C3

0.39

1.58

1.41

0.19

1.57

0.14

C4

2.94

13.67

6.38

0.03

5.01

0.22

GAB model

Xm

2.43

1.78

4.11

0.17

0.12

0.08

C

0.05

0.04

0.02

13.8

25.2

74.62

K

0.75

0.85

0.82

0.92

1.0

1.08

BET model

Xm

0.08

0.09

0.11

0.18

0.12

0.12

C

1.66

0.88

1.18

25.3

26.15

3.48

Halsey model

A

0.08

0.09

0.11

0.09

0.14

0.14

B

0.94

0.85

0.91

1.57

1.08

0.96

Oswin model

A

0.10

0.09

0.12

0.27

0.23

0.19

B

0.88

1.01

0.95

0.46

0.72

0.83

Smith model

A

-0.08

− 0.11

-0.12

0.10

0.03

− 0.01

B

0.29

0.34

0.40

0.26

0.33

0.33

Adam and shove model

A

0.01

− 0.11

− 0.14

0.15

0.08

0.03

B

− 0.25

1.23

1.64

0.36

0.80

0.77

C

0.74

− 3.62

− 4.68

− 1.39

− 2.97

− 2.63

D

0.24

3.67

4.59

− 1.01

3.58

3.19

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