Kinetics of Cd2+ and Cr3+ Sorption from Aqueous Solutions Using Mercaptoacetic Acid Modified and Unmodified Oil Palm Fruit Fibre (Elaeis guineensis) Adsorbents

被引:0
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作者
A. A. Abia
E. D. Asuquo
机构
[1] Department of Pure and Industrial Chemistry University of Port Harcourt B. M. B. 5323 Choba Port Harcourt Nigeria
[2] Department of Pure and Industrial Chemistry University of Port Harcourt B. M. B. 5323 Choba Port Harcourt Nigeria
关键词
kinetics; adsorbent; agricultural by-products; oil palm fruit fibre; heavy metals;
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中图分类号
TQ424 [吸附剂];
学科分类号
摘要
In this paper, we mainly study the relation of two cyclically reduced words w and w ′on the condi- tion they have the same trace polynomial (i.e., tr w= trw ′). By defining an equivalence relation through such operators on words as inverse, cyclically left shift, and mirror, it is straightforward to get that w ~ w ′ implies tr w = tr w ′. We show by a counter example that tr w = tr w ′ does not imply w ~ w ′. And in two special cases, we prove that tr w = tr w ′ if and only if w ~ w ′.
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页码:485 / 492
页数:8
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