A New Approach in Regression Analysis for Modeling Adsorption Isotherms

Table 1

Adsorption isotherm models.

No.	Type	Type of function	Nonlinear form	Linear form	True parameters			Reference
					θ 1	θ 2	θ 3
1	Langmuir	Rational	𝑞𝑒=𝑞max𝐾𝐿𝐶𝑒1+𝐾𝐿𝐶𝑒	1𝑞𝑒=1𝑞max𝐾𝐿1𝐶𝑒+1𝑞max	𝑞max=0.6	𝐾𝐿=0.4	/	[15]
2	Freundlich	Power	𝑞𝑒=𝐾𝐹𝐶^1/𝑛𝐹𝑒	ln𝑞𝑒=ln𝐾𝐹+1𝑛𝐹ln𝐶𝑒	𝐾𝐹=0.1	𝑛=1.2	/	[16]
3	Jovanovic	exp*	𝑞𝑒=𝑞𝐽(1−𝑒^−𝐾𝐽𝐶𝑒)	/	𝑞𝐽=5.1	𝐾𝐽=0.02	/	[17]
4	Redlich-Peterson	Rational	𝑞𝑒=𝐾𝑅𝐶𝑒1+𝑎𝑅𝐶^𝑔𝑒	/	𝐾𝑅=0.5	𝑎𝑅=0.25	𝑔=0.85	[18]
5	Sips	Rational	𝑞𝑒=𝑞𝑆𝐾𝑆𝐶^𝑚𝑆𝑒1+𝐾𝑆𝐶^𝑚𝑆𝑒	/	𝑞𝑆=5.0	𝐾𝑆=0.1	𝑚𝑆=0.7	[19]

∗Exponential.