Table 5 The statistical fitting criteria of the models were applied to experimental 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

SSE

1.14 × 10− 3

3.84 × 10− 4

1.75 × 10− 4

1.84 × 10− 5

6.91 × 10− 5

3.90 × 10− 5

R2

0.97

0.993

0.998

0.999

0.998

0.999

PE (%)

2.32

2.82

0.58

0.01

0.02

0.02

GAB model

SSE

1.27 × 10− 3

5.12 × 10− 4

3.13 × 10− 4

4.7 × 10− 3

4.4 × 10− 1

6.01 × 10− 3

R2

0.966

0.991

0.996

0.994

0.958

0.996

PE (%)

75.63

6.06

0.95

2.43

14.69

3.29

BET model

SSE

1.70 × 10− 3

6.59 × 10− 4

8.84 × 10− 4

8.4 × 10− 2

2.46 × 10− 2

7.01 × 10− 3

R2

0.956

0.988

0.988

0.993

0.959

0.974

PE (%)

137.88

10.49

2.12

3.72

7.17

2.66

Halsey model

SSE

2.21 × 10− 3

1.09 × 10− 3

1.42 × 10− 3

2.58 × 10− 2

2.50 × 10− 2

6.50 × 10− 2

R2

0.945

0.98

0.981

0.953

0.959

0.988

PE (%)

235.86

22.24

4.98

7.68

6.40

1.71

Oswin model

SSE

1.63 × 10− 3

6.71 × 10− 4

8.29 × 10− 4

2.41 × 10− 2

2.40 × 10− 2

6.53 × 10− 3

R2

0.959

0.988

0.989

0.902

0.924

0.969

PE (%)

155.53

11.43

2.26

7.57

6.96

2.49

Smith model

SSE

1.14 × 10− 3

3.23 × 10− 3

4.67 × 10− 3

1.93 × 10− 3

2.05 × 10− 2

8.13 × 10− 3

R2

0.967

0.942

0.938

0.92

0.879

0.909

PE (%)

54.59

16.89

4.59

7.26

9.40

7.44

Adam and shove model

SSE

9.38 × 10− 4

1.16 × 10− 3

3.52 × 10− 4

2.10 × 10− 2

2.34 × 10− 2

6.44 × 10− 3

R2

0.971

0.979

0.995

0.998

0.997

0.996

PE (%)

14.58

6.89

2.37

8.49

9.09

4.16

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