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The linear form of the pseudo second order equation can also be written as:
formula
4
where is the amount of Cr(VI) adsorbed at equilibrium (mg g−1) and K2 is equilibrium rate constant of the second order kinetics model (mg(g min)−1). against t determines rate constant K2 and R2 values (Ho & McKay 1999). K1, qe, and R2 (correlation coefficient for the first order kinetic model) and K2, qe, and R2 (correlation coefficient for the second order kinetic model) values are obtained and are presented in Table 2 . According to the results, the data obtained through the process of biosorption of chromium using AGHP conform to and follow the pseudo first order kinetic model .
Table 2

Results of Cr(VI) biosorption kinetic modeling

ModelPseudo first order equationPseudo second order equationWeber and Morris model
Equation    
Plot    
Concentration 20 20 20 
Fitted model    
R2 0.854 0.980 0.896 
Constant    
Calculated qe (qe.cal  – 
Experimental qe (qe.exp  – 
 2.80% 0.72% – 
ModelPseudo first order equationPseudo second order equationWeber and Morris model
Equation    
Plot    
Concentration 20 20 20 
Fitted model    
R2 0.854 0.980 0.896 
Constant    
Calculated qe (qe.cal  – 
Experimental qe (qe.exp  – 
 2.80% 0.72% – 
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