Table 4 The statistical fitting criteria of the models were applied to experimental adsorption and desorption data of VDBD 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

SSE

2.29 × 10− 4

1.21 × 10− 4

2.11 × 10− 4

1.87 × 10− 4

4.78 × 10− 3

5.22 × 10− 5

R2

1.00

0.997

0.991

0.958

0.995

0.997

PE (%)

2.32

3.61

3.12

0.06

0.04

0.02

GAB model

SSE

5.58 × 10− 4

8.32 × 10− 4

7.54 × 10− 4

5.1 × 10− 4

2.6 × 10− 3

2.45 × 10− 2

R2

0.943

0.980

0.969

0.995

0.996

0.984

PE (%)

18.09

27.36

17.45

1.21

1.78

0.20

BET model

SSE

5.84 × 10− 4

1.76 × 10− 3

1.76 × 10− 3

2.00 × 10− 2

2.82 × 10− 2

1.22 × 10− 2

R2

0.933

0.956

0.927

0.864

0.968

0.983

PE (%)

24.17

34.31

21.36

8.84

8.20

4.04

Halsey model

SSE

8.49 × 10− 4

2.35 × 10− 3

2.03 × 10− 3

2.20 × 10− 2

2.73 × 10− 2

1.13 × 10− 2

R2

0.913

0.942

0.915

0.860

0.964

0.986

PE (%)

29.87

70.01

34.68

9.06

7.17

3.16

Oswin model

SSE

6.76 × 10− 4

1.69 × 10− 3

1.52 × 10− 3

2.07 × 10− 2

2.62 × 10− 2

1.05 × 10− 2

R2

0.931

0.959

0.937

0.895

0.937

0.985

PE (%)

16.56

43.38

26.40

9.35

7.57

3.38

Smith model

SSE

7.09 × 10− 4

1.60 × 10− 3

7.45 × 10− 4

3.97 × 10− 4

2.36 × 10− 2

8.68 × 10− 3

R2

0.927

0.963

0.969

0.911

0.916

0.970

PE (%)

21.54

39.98

5.31

0.11

10.50

5.74

Adam and shove model

SSE

1.43 × 10− 4

4.81 × 10− 5

7.68 × 10− 5

1.08 × 10− 4

2.34 × 10− 2

8.04 × 10− 3

R2

0.985

0.999

0.997

0.976

0.995

0.997

PE (%)

5.70

3.08

0.67

0.05

10.00

5.25

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