Table 1 The values of parameters for isotherm models at 25 °C

Amoxicillin

Langmuir

\(\frac{{C}_{\mathrm{e}}}{{q}_{\mathrm{e}}}=\frac{1}{{{k}_{\mathrm{l}}\cdot q}_{\mathrm{m}}}+\frac{1}{{q}_{\mathrm{m}}}.{c}_{\mathrm{e}}\)

q_m = 910

k_l = 0.065

Freundlich

logq_e = logk_f + (1/n)logC_e

k_f = 68

n = 1.8

Temkin

q_e = B ln(A C_e)

A = 1.084

B = 169.21

Dubinin–Radushkevich

Ln q_e = lnq_m–kε²

q_m = 414

E = 0.707, k = 0.98

Cefixime

Langmuir

\(\frac{{C}_{\mathrm{e}}}{{q}_{\mathrm{e}}}=\frac{1}{{{k}_{\mathrm{l}}\cdot q}_{\mathrm{m}}}+\frac{1}{{q}_{\mathrm{m}}}.{c}_{\mathrm{e}}\)

q_m = 588

k_l = 0.07

Freundlich

logq_e = logk_f + (1/n)logC_e

k_f = 59.6

n = 1.98

Temkin

q_e = B ln(A C_e)

A = 1.26

B = 121.83

Dubinin–Radushkevich

Ln q_e = lnq_m–kε²

q_m = 385

E = 0.408, k = 0.34