Analysis of Binary Mixtures by Second-Order Differential Reaction Rates.

1963 ◽  
Vol 35 (3) ◽  
pp. 403-403
Author(s):  
Sidney. Siggia ◽  
H. B. Mark
Keyword(s):  
Binary Mixtures ◽  
Reaction Rates ◽  
Second Order ◽  
Differential Reaction

scholarly journals Uptake of Zn, Pb, Cu and Fe Ions from Spent and Unspent Engine Oil Using Termite Soil

2017 ◽  
Vol 9 (3) ◽  
pp. 85
Author(s):  
Iwekumo Agbozu ◽  
Bassey Uwem ◽  
Boisa Ndokiari
Keyword(s):  
Contact Time ◽  
Diffusion Constant ◽  
Reaction Rates ◽  
Second Order ◽  
Engine Oil ◽  
Initial Reaction ◽  
Kinetics Equation ◽  
Spent Engine Oil ◽  
Pseudo Second Order ◽  
Fe Ions

Removal of Zn, Pb, Cu and Fe ions from unspent and spent engine oil was studied using Termite soil. Process parameters such as contact time and adsorbent dosage were varied. Values from contact time were used for predicting kinetics equation of their uptake. At optimum time of 40 minutes, percentage adsorption was of the order Fe>Zn>Cu>Pb for both spent and unspent engine oil. Kinetics equation such as Elovich, Intra-particle, Pseudo-first order and Pseudo-second order were tested. Results obtained shows that their sequestering pattern fit into the pseudo-second order kinetics. Initial reaction rates, h (mg/g.min) and α (mg. g-1min-1) for all metal ions obtained from Pseudo-second order and Elovich kinetic models followed the trends Zn>Fe>Cu>Pb and Zn>Fe>Pb>Cu respectively in spent engine oil while for unspent engine oil, the trend was Fe>Zn>Cu>Pb for h (mg/g.min) and Zn>Fe>Pb>Cu for α (mg. g-1min-1). Electrostatic attraction existing on the surface of the adsorbent assisted in the high initial reaction of Zn and Fe ions, implying good affinity of the ions for the adsorbent. Desorption constant ᵦ (g/mg) was of the trend Cu>Pb>Fe>Zn and Cu>Pb>Zn>Fe for spent and unspent engine oils respectively. Intra-particle diffusion constant kid (mgg-1min-1/2) followed a similar pattern, revealing strong binding between Zn and termite soil than any of the metal ion. This pilot research has been able to suggest a kinetic process for uptake of the studied ions from spent and unspent engine oil.

scholarly journals Kinetics and Optimization by Response Surface Methodology of Aerobic Bioremediation. Geoelectrical Parameter Monitoring

2020 ◽  
Vol 10 (1) ◽  
pp. 405 ◽  
Author(s):  
Carla Maria Raffa ◽  
Fulvia Chiampo ◽  
Alberto Godio ◽  
Andrea Vergnano ◽  
Francesca Bosco ◽  
...  
Keyword(s):  
Response Surface Methodology ◽  
Dielectric Permittivity ◽  
Response Surface ◽  
Reaction Rates ◽  
Diesel Oil ◽  
Second Order ◽  
Coaxial Cable ◽  
Oil Concentration ◽  
Two Parameters ◽  
Aerobic Bioremediation

This study aimed to investigate the kinetics of an aerobic bioremediation process of diesel oil removal by indigenous microorganisms, and to define the optimal operative conditions by means of response surface methodology. This was carried out by setting up a series of microcosms (200 g of soil), polluted with the same diesel oil concentration (70 g·kg−1 of soil), but with different water contents (u%) and carbon to nitrogen (C/N) ratios. The process was monitored by: (1) residual diesel oil concentration, to measure the removal efficiency, and (2) fluorescein production, to check the microbial activity. These two parameters were the objective variables used for the analysis of variance (ANOVA) and response surface methodology (RSM). The results allowed the interactions between u% and C/N to be defined and the optimal range to be adopted for each. The process kinetics was modeled with first- and second-order reaction rates; slightly better results were achieved for the second-order model in terms of parameter variability. Biological processes like degradation may have effects on dielectric properties of soil; an open-ended coaxial cable was used to measure the dielectric permittivity of microcosm matrices at the start and after 130 days of bioremediation. The evolution of the real and the imaginary components of dielectric permittivity provided results that supported the evidence of a biodegradation process in progress.

Synergistic Effects in Analyses Based on Differential Reaction Rates.

1964 ◽  
Vol 36 (1) ◽  
pp. 228-230 ◽  
Author(s):  
Sidney. Siggia ◽  
J. G. Hanna
Keyword(s):  
Synergistic Effects ◽  
Reaction Rates ◽  
Differential Reaction

Swelling of N-vinylcaprolactam–dodecyl methacrylate gel in {heptane + toluene} mixtures

2015 ◽  
Vol 69 (5) ◽  
Author(s):  
Lutfullah M. Sevgili ◽  
Serdar Toprak ◽  
Selva Çavuş
Keyword(s):  
Binary Mixtures ◽  
Diffusion Mechanism ◽  
Second Order ◽  
Gravimetric Analysis ◽  
First Order ◽  
Second Order Differential Equations ◽  
Dodecyl Methacrylate ◽  
Initial Content ◽  
Diffusion Mechanisms ◽  
Polymerization Method

AbstractA copolymer gel has been synthesized from N-vinylcaprolactam and dodecyl methacrylate in ethanol using the free radical cross-linking polymerization method. Characterizations of the gel were performed by scanning electron microscopy (SEM), Fourier transform infrared spectroscopy (FTIR), and thermal gravimetric analysis (TGA) techniques. Swelling behavior of the gel was investigated in heptane, toluene, and their binary mixtures with different compositions. Swelling value in toluene is higher than that in heptane and swelling value increases with the increasing initial content of toluene in the binary mixture with heptane. The swelling values are correlated by the first- and second-order differential equations, and the best model correlating the experimental results is a second-order one. Diffusion coefficients have also been calculated for heptane and toluene at each concentration by power-law and first-order equations. While the diffusion mechanism of the gel in heptane is a Fickian one, the gel swelled in toluene exhibits a non-Fickian character. Diffusion mechanisms of the gels in binary mixtures are much more complicated. Because of the higher swelling degree in toluene compared to that in heptane, selectivity of the gel in different {heptane + toluene} mixtures with selectivity close to 1 has also been taken into consideration.

Kinetics studies of rapid strain-promoted [3+2] cycloadditions of nitrones with bicyclo[6.1.0]nonyne

2014 ◽  
Vol 92 (4) ◽  
pp. 337-340 ◽  
Author(s):  
Douglas A. MacKenzie ◽  
John Paul Pezacki
Keyword(s):  
Rate Constants ◽  
Substituent Effect ◽  
Reaction Rates ◽  
Reaction Vessel ◽  
Second Order ◽  
Cyclic Nitrones ◽  
Organic Azides ◽  
Kinetics Studies ◽  
Bioorthogonal Labeling ◽  
Potential Applications

Strain-promoted alkyne−nitrone cycloaddition (SPANC) reactions represent a bioorthogonal labeling strategy that is both very rapid and at the same time efficient and selective. Nitrones provide increased reaction rates as well as greater susceptibility toward stereoelectronic modification when compared with organic azides. We find that strain-promoted cycloadditions of cyclic nitrones with bicyclo[6.1.0]nonyne react with second-order rate constants as large as 1.49 L mol−1 s−1 at 25 °C. These reactions display rate constants that are up to 37-fold greater than those of the analogous reactions of benzyl azide with bicyclo[6.1.0]nonyne. We observed that reactions of nitrones with bicyclo[6.1.0]nonyne showed a stronger dependence on substituent effect for the reaction, as evidenced by a larger Hammett ρ value, than that for biaryl-aza-cyclooctanone. We demonstrate the ability to stereoelectronically tune the reactivity of nitrones towards different cyclooctynes in SPANC reactions. This ability to introduce selectivity into different SPANC reactions through substituent provides the opportunity to perform multiple SPANC reactions in one reaction vessel and opens up potential applications in multiplex labeling.

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