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Approximate solution of the autocatalytic hydrolysis of cellulose

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Abstract

Depolymerization of cellulose in homogeneous acidic medium is analyzed on the basis of autocatalytic model of hydrolysis with a positive feedback of acid production from the degraded biopolymer. The normalized number of scissions per cellulose chain, S(t)/n° = 1 − C(t)/C0, follows a sigmoid behavior with reaction time t, and the cellulose concentration C(t) decreases exponentially with a linear and cubic time dependence, C(t) = C0exp[−at − bt 3], where a and b are model parameters easier determined from data analysis.

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Acknowledgments

MHG thanks FAPESP and CNPq for the financial support of this study. This work is also within the scope of INCT-Catálise Research Center in Brazil. The author thanks Professor Dr. Ernesto R. Gonzales for helpful discussion.

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Correspondence to Marcelo H. Gehlen.

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Gehlen, M.H. Approximate solution of the autocatalytic hydrolysis of cellulose. Cellulose 16, 1069–1073 (2009). https://doi.org/10.1007/s10570-009-9315-z

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  • DOI: https://doi.org/10.1007/s10570-009-9315-z

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