q= 3∫_0^R▒(q_i r^2 dr)/R^3 (2)
The adsorption isotherm is used to relate the concentration qs and Cs. The equilibrium adsorption at external surface (qs) is studied using two-parameter Langmuir isotherm. q_s= (Q_m K_L C_s)/(1+K_L C_s ) (3)
The boundary layer mass transfer equation in batch system is as: dq/dt=(3k_f R(C-C_s ))/(D_s ρ(1-ε)) (4)
The equation of material balance for slurry adsorption system is studied using