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Table 2 Freundlich and Langmuir isotherms parameters for crystal violet adsorption on sodium titanates at room temperature

From: Improved production of titanate nanotubes by hydrothermal method for adsorption of organic dyes

Isotherm

Crystal violet

Parameters description

Langmuir

1.0000

1.0000

100

0.01

R2 is the regression coefficient

RL value lies between 0 and 1 for favorable adsorption

RL higher than 1 means unfavorable adsorption,

RL equal to 1 represents linear adsorption

RL = 0 adsorption process is irreversible

qm is the maximum adsorption capacity of adsorbent, expressed in mg/g

KL is the constant of Langmuir model

Freundlich

0.98852

0.99

1.2

0.9

R2 is the regression coefficient

Kf and n are the Freundlich constants and give indication about the maximum adsorption capacity

If 1/n is less than 0.5, the adsorption would be easily carried out

If 1/n is larger than 0.5, the adsorption is difficult