Skip to main content

Table 3 Kinetic parameters for the adsorption of Cd(II) ions and RY4 by BMDA

From: Simultaneous removals of cadmium(II) ions and reactive yellow 4 dye from aqueous solution by bone meal-derived apatite: kinetics, equilibrium and thermodynamic evaluations

  Cd(II) ionRY4 dye
Pseudo-first orderCo (mg/L)40801201602002404080120160200240
Qe exp (mg g−1)22.4047.1070.1090.40112.60133.4021.50033.60056.10065.60072.60087.400
Qe cal (mg g−1)22.3146.6369.9789.38110.95131.2721.43932.92455.76364.25670.85884.916
k1 × 102 (min−1)0.0550.0370.0520.0600.0600.0620.0360.0390.0360.0410.0450.046
R20.9980.9970.9990.9990.9970.9970.9990.9970.9990.9990.9970.997
%SSE0.0860.4700.1261.0221.6512.1340.0610.6760.3371.3441.7422.484
RMSE0.0100.0520.0140.1140.1830.2370.0070.0750.0370.1490.1940.276
HYBRID0.0550.1440.0260.1630.2130.2320.0410.2930.0860.2990.3510.418
Pseudo-second orderQe cal (mg g−1)24.71253.08577.79498.503122.260143.95824.52438.16563.99972.53779.63395.485
k2 × 104 (g mg−1 min−1)28.98.558.578.036.415.8017.511.56.516.997.096.03
R20.9920.9940.9920.9940.9960.9960.9980.9980.9990.9980.9980.998
%SSE2.3125.9857.6948.1039.66010.5583.0244.5657.8996.9377.0338.085
RMSE0.2570.6650.8550.9001.0731.1730.3360.5070.8780.7710.7810.898
HYBRID1.3361.6111.4131.1751.1291.0481.7621.7091.7631.3661.2621.210
ElovichQe cal (mg g−1)21.5943.4567.7587.40107.64127.6320.03330.91851.95860.68467.39081.052
α (mg (g min)−1)5.166.1111.6422.7332.5744.432.3144.2975.9339.03612.34615.023
β (g mg−1)0.2300.0980.0670.0580.0490.0420.2010.1380.0770.0720.0690.057
R20.9920.9960.9910.9920.9930.9940.9950.9960.9950.9960.9960.996
%SSE0.8133.6482.3482.9964.9645.7681.4672.6824.1424.9165.2106.348
RMSE0.0900.4050.2610.3330.5520.6410.1630.2980.4600.5460.5790.705
HYBRID0.5381.1990.4950.4900.6590.6461.0461.2391.1391.1571.1051.119
Intraparticle diffusionK1d (mg g−1 min-0.5)3.235.3710.0513.4716.4019.152.533.726.577.548.4310.38
C1 (mg g−1)− 0.34− 0.31− 1.81− 1.18− 0.631.50− 0.720.11− 1.980.151.491.39
R20.9960.9970.9970.9960.9980.9980.9910.9920.9940.9950.9980.996
K2d (mg g−1 min-0.5)0.491.751.451.732.262.660.751.301.902.352.412.87
C2 (mg g−1)15.9623.3850.7367.0881.9597.5411.3715.7830.0533.3539.5547.76
R20.9970.9940.9970.9980.9980.9980.9940.9920.9950.9930.9940.995