Table 5 Parameters obtained by the kinetic models for the composite HAp, Ce and HAp/Ce.

From: A novel approach to prepare a composite of hydroxyapatite with cellulose nanocomposites by novel methods including theoretical studies

MB

HAp

Ce

HAp/Ce

K1 (g/mg min)

Qcal (mg/g)

R2

K1 (g/mg min)

Qcal (mg/g)

R2

K1 (g/mg min)

Qcal (mg/g)

R2

Pseudo-first-order kinetic model

 

0.22

91.0018

0.9797

0.2205

85.4815

0.9616

0.1934

92.001

0.9823

MB

HAp

Ce

HAp/Ce

K2 (g/mg.min)

Qcal (mg/g)

R2

K2 (g/mg.min)

Qcal (mg/g)

R2

K2 (g/mg.min)

Qcal (mg/g)

R2

The pseudo-second-order parameters for uptaking of MB HAp, Ce and HAp/Ce

 

38.68809

3.6724

0.9685

67.2777

4.4033

0.9927

53.1261

3.9339

0.995

MB

HAp

Ce

HAp/Ce

Kid

Z

R2

Kid

Z

R2

Kid

Z

R2

Intra-particle diffusion parameters of MB bonding onto HAp, Ce and HAp/Ce

 

25.502

4.4897

0.8565

25.725

2.1656

0.8623

25.201

9.2701

0.8853

T(K)

HAp

Ce

HAp/Ce

∆G° (KJ/mol)

∆H° (KJ/mol)

∆S° (J/K.mol)

∆G° (KJ/mol)

∆H° (KJ/mol)

∆S° (J/K.mol)

∆G° (KJ/mol)

∆H° (KJ/mol)

∆S° (J/K.mol)

Parameters values for the adsorption of MB onto HAp, Ce and HAp/Ce

298

 − 1.4149

19.7025

70.8614

 − 3.3787

19.8090

77.8112

 − 1.4149

19.7025

70.8614

313

 − 2.4771

  

 − 4.6524

  

 − 2.4771

  

323

 − 3.1857

  

 − 5.4305

  

 − 3.1857

  
 

Kdf

R2

Liquid film diffusion model

 

HAp

2.3858

0.8913

Ce

2.2659

0.905

HAp/Ce

2.518

0.8504