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Table 4

Kinetic model results

Kinetic modelInitial phenol conc. (mg/L)Correlation coefficientCritical valuesResult
Reichenberg model 40 0.99727 – Since the value of correlation coefficient is above 0.8, the adsorption process is of film diffusion 
80 0.99401 
120 0.98114 
160 0.89713 
200 0.96188 
Fick model 40 0.85138 – The linear segments of the curve implied that the film diffusion and intraparticle diffusion take 240 min each 
80 0.96143 
120 0.94485 
160 0.99129 
200 0.95862 
Furusawa and Smith model 40 0.80328 β = 1.443 × 10−11 cm/sec The value of correlation coefficient above 0.8 suggests that phenol moves faster from bulk to solid stage 
80 0.92623 β = 2.686 × 10−12 cm/sec 
120 0.91017 β = 2.296 × 10−12 cm/sec 
160 0.91821 β = 1.945 × 10−12 cm/sec 
200 0.91836 β = 1.527 × 10−12 cm/sec 
Elovich model 40 0.91825 – The value of correlation coefficient above 0.8 supports that the adsorption process is chemical 
80 0.97684 
120 0.92974 
160 0.91792 
200 0.92666 
Boyd model 40 0.99885 De = 1.276 × 10−13 m2/sec The value of the diffusion coefficient being within 10−9 and 10−17 supports that the process is chemisorption 
80 0.99674 De = 2.080 × 10−13 m2/sec 
120 0.97571 De = 1.468 × 10−13 m2/sec 
160 0.88583 De = 1.602 × 10−13 m2/sec 
200 0.95448 De = 1.473 × 10−13 m2/sec 
Kinetic modelInitial phenol conc. (mg/L)Correlation coefficientCritical valuesResult
Reichenberg model 40 0.99727 – Since the value of correlation coefficient is above 0.8, the adsorption process is of film diffusion 
80 0.99401 
120 0.98114 
160 0.89713 
200 0.96188 
Fick model 40 0.85138 – The linear segments of the curve implied that the film diffusion and intraparticle diffusion take 240 min each 
80 0.96143 
120 0.94485 
160 0.99129 
200 0.95862 
Furusawa and Smith model 40 0.80328 β = 1.443 × 10−11 cm/sec The value of correlation coefficient above 0.8 suggests that phenol moves faster from bulk to solid stage 
80 0.92623 β = 2.686 × 10−12 cm/sec 
120 0.91017 β = 2.296 × 10−12 cm/sec 
160 0.91821 β = 1.945 × 10−12 cm/sec 
200 0.91836 β = 1.527 × 10−12 cm/sec 
Elovich model 40 0.91825 – The value of correlation coefficient above 0.8 supports that the adsorption process is chemical 
80 0.97684 
120 0.92974 
160 0.91792 
200 0.92666 
Boyd model 40 0.99885 De = 1.276 × 10−13 m2/sec The value of the diffusion coefficient being within 10−9 and 10−17 supports that the process is chemisorption 
80 0.99674 De = 2.080 × 10−13 m2/sec 
120 0.97571 De = 1.468 × 10−13 m2/sec 
160 0.88583 De = 1.602 × 10−13 m2/sec 
200 0.95448 De = 1.473 × 10−13 m2/sec 
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