here qt is the adsorption capacity of the adsorbent which is magnesium oxide and the initial concentration of the reactant, which is arsenic (III), is 20 mg/L. If there is anything wrong with the equation then it will be very helpful if you could rectify that and help me with the plots.
Please see equation 10 in the attached paper. I simplified the equation and used it. The adsorption capacity of arsenic by MgO is represented by qt in the equation that I mentioned in the question. Here qe is the constant which represents the value of adsorption at equilibrium@Yurii V Geletii.
Ho and McKay's pseudo-second-order kinetic model is expressed as
dqt/dt=k2 (qe-qt)^2
and the linearized form of the pseudo-second-order model is written as
t/qt = 1/(k2*qe^2) + t/qe
where qt and qe are the amounts of adsorbate adsorbed at time t and equilibrium resectively. k2 is the equilibrium rate constant in the equation.
You then need to plot t/qt vs t curve for pseudo-second-order model.
Kindly follow the paper given in reference for your better understanding.
Reference
Laxmipriya Panda, Swagat S. Rath, Danda Srinivas Rao, Binod B. Nayak, Bisweswar Das, Pramila K. Misra, Thorough understanding of the kinetics and mechanism of heavy metal adsorption onto a pyrophyllite mine waste based geopolymer, Journal of Molecular Liquids, Volume 263, 2018, Pages 428-441,