Development of New Rate Model for the Adsorption of Direct Blue 86

The present investigation had been focused on the insights of the theoretical aspects of pseudo-second-order kinetic equation which is typically used for a solid-liquid adsorption system. The basic principal of this developed kinetic equation was found to be in line with universal rate law. Based on this principal a pseudo-second order equation had been proposed for the adsorption of direct blue 86 on the microwave assisted carbon surface. The proposed rate equation could be used as an alternative of the universal rate equation which is quite complex in nature. The rate of adsorption was expressed in the form of a power law equation where the adsorption capacity (mg/g) was assumed to be a function of time (min). The values of various coefficients namely A, B, C and D used in the rate law expression were also determined at different initial concentrations (32 – 100 mg/l) and temperatures (13.5 – 35 °C). It was observed that the values of A remained almost constant with varying experimental conditions whereas, the values D was increased with increase in initial concentration but the values of C was decreased with increase in concentration. Besides, the values of B were increased with increase in temperature. The activation energy and frequency factor were also determined and the corresponding values were found to be 78.34 kJ/mol and 0.83 min-1.

Author(s): Monal Dutta and Jayanta Kumar Basu

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