Adsorption of Reactive Black 5 on Synthesized Titanium Dioxide Nanoparticles: Equilibrium Isotherm and Kinetic Studies

Table 1

Adsorption parameters.

Kinetic parameters for RB 5 adsorption on TiO2-NPs
Pseudo first order model
𝐶𝑜 (ppm)	𝑞𝑒, exp(mgg^−1)	𝑞𝑒, cal (mgg^−1)	𝑘1 min^−1	𝑅^2	R.S.D (%)
30	16.8695	0.5828	0.0240	0.9754	7.529
40	22.4347	0.6609	0.0260	0.9918	10.020
50	27.3788	0.6704	0.0280	0.9642	12.233
60	31.3292	0.6679	0.0320	0.9888	14.001
70	33.7639	0.9855	0.0440	0.9784	15.087
80	36.6708	0.6855	0.0550	0.9724	16.391
Pseudo-second-order model
𝐶𝑜 (ppm)	𝑞𝑒, exp(mgg^−1)	𝑞𝑒, cal (mgg^−1)	𝑘2 (gmg^−1min^−1)	𝑅^2	R.S.D (%)
30	16.8695	30.7692	0.0132	0.9989	6.729
40	22.4347	42.7350	0.0041	0.9951	9.181
50	27.3788	54.3478	0.0019	0.9863	11.356
60	31.3292	62.5000	0.0013	0.9792	13.119
70	33.7639	68.0272	0.0011	0.9704	14.199
80	36.6708	70.9219	0.0012	0.9720	15.535
Intraparticle diffusion model
𝐶𝑜 (ppm)	𝑞𝑒, exp(mgg^−1)	C (mg g^−1)	𝑘id (mgg^−1min^−1/2)	𝑅^2	R.S.D (%)
30	16.8695	23.0690	0.8879	0.8629	6.933
40	22.4348	22.9300	2.1929	0.8962	9.576
50	27.3789	19.5110	3.6157	0.9317	11.926
60	31.3292	18.8080	4.4369	0.9362	13.742
70	33.7639	17.2540	5.0252	0.9379	14.871
80	36.6708	14.1950	6.1106	0.9979	16.227