Copper biosorption by Bacillus pumilus OQ931870 and Bacillus subtilis OQ931871 isolated from Wadi Nakheil, Red Sea, Egypt

Table 4 Different parameters for the first-order, second order, Elovich and intraparticle diffusion models for the biosorption of copper by Bacillus pumilus and Bacillus subtilis

Models	Parameters	B. pumilus	B. subtilis
Experimental data
First order model	q_e ^exp (mg g⁻¹)	9.23	3.02
	K₁ (min⁻¹)	0.0217	0.0215
	q_e ^cal (mg g⁻¹)	9.461	3.123
	R²	0.874	0.814
Second order model	q_e ^exp (mg g⁻¹)	4.12	1.01
	K₂ (g mg⁻¹ min⁻¹)	0.009	1.237
	q_e ^cal (mg g⁻¹)	4.366	0.918
	R²	0.946	0.999
Elovich model	β	0.382	0.479
	α	0.243	0.147
	R²	0.977	0.964
Intraparticle diffusion	K_i (mg g⁻¹ min^−1/2)	0.23	0.287
Intraparticle diffusion	R²	0.914	0.91

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