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Morphologies Of The As-Formed Zeolite Nannostructures Products

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3.2. SEM and TEM studies
Morphologies of the as-prepared zeolite nanostructures products (ZF, ZM, ZS, and ZT) have been examined using both of scanning electron microscopy (SEM) and transmission electron microscopy (TEM), as shown in Figs. 3 and 4, respectively. The images taken by SEM demonstrated that ZM and ZT are made up of aggregates of a sphere like structures with an average size of ca.3.54 and 3.07 μm, respectively. In addition, ZF and ZS samples were found to consist of aggregates of a (sphere and sheet) and (sphere and cubic) like structures with an average size of ca. 10.33 and 8.65 μm, respectively. Moreover, TEM images, exhibits that the samples; ZF, ZM, ZS, and ZT, are composed of (spherical), (spherical and irregular), …show more content…

(13)). log (Qe-Qt) = log Qe-K1t/2.303 (8) t/Qt = (1/K2Qe2) + (1/Qe) t (9)
Qt = Kint t 0.5 +C (10) ln Ct = ln Co-Kextt (11) ln (1-F) = - Kextt (12) log R = log [Ko m/ 2.303V] + α log t (13) where, Qe (mg/g) is the amount of the adsorbed dye at equilibrium, Qt (mg/g) is the amount of the adsorbed dye at time t (min), k1 (1/min) is the pseudo- first-order rate constant, k2 (g/mg.min) is the pseudo-second-order rate constant, C (mg/g) is the thickness of boundary layer, kint (mg/(g.min0.5)) is internal diffusion constant, Kext (1/min) is external diffusion constant, Ct (mg/L) is the concentration of dye at time t, F is fraction attainment of equilibrium or extent of conversion and it was calculated using Eq. (14), α (mg/g.min) <1) and Ko (g/mg.min) are the Bangham constants. In addition, R can be calculated using Eq. (15)
F = Qt/Qe (14)
R = log [Co/ (Co-Qtm)] (15)
Figure 7 (A-F) represents all of the above six kinetic models, respectively. Moreover, all of the constants and correlation coefficients for the above six kinetic models were calculated in Table 3. The data exhibited that the adsorption process of malachite green dye follows the pseudo-second-order model more than pseudo-first-order, because the correlation coefficients of the first model is greater than

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