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Table 4 The calculation results for Langmuir-Hinshelwood models 1–7

From: Combination of rGO/S, N/TiO2 for the enhancement of visible light-driven toluene photocatalytic degradation

Model

Reaction Rate Expression

Temp

(K)

k

(mol cm−3 s−1)

KA

(cm3 mol− 1)

Kw

(cm3 mol− 1)

RSS

R2

1

\(-r=k\mathrm{x}\frac{K_A{C}_A}{1+{K}_A{C}_A}\)

298

2.75E-10

1.02E+ 08

–

3.62E-20

0.92

308

3.23E-10

9.89E+ 07

–

3.37E-20

0.93

318

4.72E-10

8.30E+ 07

–

3.12E-20

0.93

2

\(-r=k\mathrm{x}\frac{K_A{C}_A{K}_w{C}_w}{1+{K}_A{C}_A}\)

298

9.41E-02

1.59E+ 00

1.36E+ 03

2.87E-23

0.00

308

4.26E-01

7.18E+ 00

6.16E+ 03

9.26E-24

0.35

318

4.19E-01

7.06E+ 00

6.05E+ 03

4.70E-24

0.77

3

\(-r=k\mathrm{x}\frac{K_A{C}_A}{1+{K}_A{C}_A+{K}_w{C}_w}\)

298

9.97E-06

2.34E+ 03

1.87E+ 05

1.37E-24

0.89

308

1.11E-05

2.58E+ 03

5.99E+ 04

9.90E-25

0.93

318

1.29E-05

3.01E+ 03

7.24E+ 03

1.34E-24

0.93

4

\(-r=k\mathrm{x}\frac{K_A{C}_A{K}_w{C}_w}{\left(1+{K}_A{C}_A+{K}_w{C}_w\right)}\)

298

4.27E-09

3.60E+ 07

1.25E+ 06

1.36E-24

0.96

308

4.81E-09

3.30E+ 07

1.15E+ 06

1.68E-24

0.96

318

5.55E-09

3.05E+ 07

1.08E+ 06

1.12E-24

0.95

5

\(-r=k\mathrm{x}\frac{K_A{C}_A}{1={K}_A{C}_A}\mathrm{x}\frac{K_w{C}_w}{1+{K}_w{C}_w}\)

298

2.89E-09

1.00E+ 07

1.06E+ 07

9.13E-25

0.93

308

3.11E-09

1.05E+ 07

3.06E+ 07

8.93E-25

0.94

318

3.49E-09

1.16E+ 07

1.66E+ 07

1.27E-24

0.94

6

\(-r=K\mathrm{x}\frac{K_A{C}_A{K}_w{C}_w}{1+{K}_w{C}_w}\)

298

9.57E-10

1.08E+ 07

3.02E+ 07

9.05E-25

0.93

308

1.02E-09

3.07E+ 07

3.22E+ 07

8.93E-25

0.94

318

1.13E-09

1.67E+ 07

3.58E+ 07

1.27E-24

0.94

7

\(- rk\mathrm{x}\frac{{\left({K}_A{C}_A{K}_w{C}_w\right)}^{1\left/ 2\right.}}{{\left[1+{\left({K}_A{C}_A\right)}^{1\left/ 2\right.}+{\left({K}_w{C}_w\right)}^{1\left/ 2\right.}\right]}^2}\)

298

8.16E-09

1.84E+ 04

6.19E+ 05

3.76E-24

0.70

308

9.28E-09

1.89E+ 04

6.36E+ 05

4.76E-24

0.67

318

1.26E-08

1.53E+ 04

6.35E+ 05

6.98E-24

0.66

  1. Note: k = reaction rate constant (mol cm− 3 s− 1); KA = toluene adsorption equilibrium constants (cm3 mol− 1); KW = water vapor adsorption equilibrium constants (cm3 mol− 1); r = reaction rate (mol cm− 3 s− 1); CA = toluene concentration (mol cm− 3); CW = water concentration (mol cm− 3)