The Sorption of Ni(II) by Grape Shell Ash from Aqueous Solution: Kinetic and Thermodynamic Studies

Table 4

The pseudo-first-order, pseudo-second-order, and Elovich’s equation kinetic parameters for Ni(II) sorption onto GSA at different temperatures of solution.

	𝑇 (K)	Equation	𝑅^2	𝑞𝑒.cal	𝑘1	𝑞𝑒.exp
Pseudo- first-order equation	298	𝑦=−0.0163−0.0603	0.406	0.870964	0.036848	6.4137
	308	𝑦=−0.0151𝑥−0.1427	0.479	0.721107	0.034545	6.3447
	318	𝑦=−0.0175𝑥+0.1621	0.745	1.452112	0.039151	6.3102
	328	𝑦=−0.0231𝑥+0.3185	0.757	2.079697	0.052969	6.4137
	𝑇 (K)	Equation	𝑅^2	𝑞𝑒.cal	𝑘2	𝑞𝑒.exp
Pseudo-second-order equation	298	𝑦=0.1553𝑥+0.1074	0.999	6.451613	0.224533	6.4137
	308	𝑦=0.1586𝑥+0.0623	0.999	6.329114	0.402645	6.3447
	318	𝑦=0.1581𝑥+0.1297	0.999	6.329114	0.193519	6.3102
	328	𝑦=0.1541𝑥+0.1957	0.999	6.493506	0.121621	6.4137
	𝑇 (K)	Equation	𝑅^2	𝑎	𝑏	𝑞𝑒.exp
Elovich equation	298	𝑦=0.1352𝑥+5.7911	0.605	5.740 * 10^17	7.407407	6.4137
	308	𝑦=0.0787𝑥+5.9307	0.484	8.096 * 10^31	12.82051	6.3447
	318	𝑦=0.1959𝑥+5.4117	0.727	2.191 * 10^11	5.128205	6.3102
	328	𝑦=0.2894𝑥+5.1307	0.926	1.47 * 10^7	3.460208	6.4137