17. Kinetics Comparison
First Order
5 ppm 10 ppm 20 ppm 40 ppm
R2 0.9754 0.9317 0.9881 0.9064
Qe exp
(mg/g)
0.9853 1.806 2.324 2.458
Qe
calc
(mg/g)
1.124 1.791 2.232 2.094
k1 0.08682 0.06402 0.04813 0.06974
Second Order
5 ppm 10
ppm
20
ppm
40
ppm
R2 0.998 0.9327 0.9461 0.9378
Qe exp
(mg/g)
0.9853 1.806 2.324 2.458
Qe
calc
(mg/g)
1.120 2.428 3.531 3.263
k2 0.1376 0.0238 0.2832 0.3065
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18. Adsorption Isotherms
โข Langmuir Isotherm: adsorption onto
homogenous surface with finite
number of adsorption sites.
qe = qm โ
bCe
1 + bCe
Or
๐ช๐
๐๐
=
๐ช๐
๐๐
+
๐
๐โ๐๐
Where Ce=equilibrium concentration
qe= equilibrium adsorption capacity
qm=maximum adsorption capacity
b=Langmuir adsorption constant (energy
of adsorption)
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19. Adsorption Isotherms
โข Freundlich Model: adsorption on
heterogenous surface of adsorbent
qe = KF โ Ce
1
n
Or ๐ฟ๐๐ ๐๐ = ๐ฟ๐๐ ๐พ๐ +
๐ฟ๐๐ ๐ถ๐
๐
Where qe= equilibrium adsorption
capacity
Ce=equilibrium concentration
Kf=Freundlich constant: adsorption
capacity
n= Freundlich constant: adsorption
intensity
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20. Looking at the R2 values, it is clear that the Langmuir model fits the best for this
experiment.
Langmuir Model
R2 b qm
0.9985 1.743 L/mg 2.710 mg/g
Freundlich Model
R2 Kf n
0.891 1.521 mg/g 3.010
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21. Conclusion/Final Thoughts
โข PAN nanofibers ๏ APAN nanofibers๏ Cu(II) Adsorption
Experiments๏ ICP๏ Analysis
โข As concentration increases, adsorption curves become less steep,
but adsorption capacity increases
โข As more DETA is added, adsorption capacity increases
โข Experiment fits the second order kinetic model and Langmuir
adsorption isotherm
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