eprintid: 3530
rev_number: 2
eprint_status: archive
userid: 1
dir: disk0/00/00/35/30
datestamp: 2023-11-09 15:51:47
lastmod: 2023-11-09 15:51:47
status_changed: 2023-11-09 15:47:02
type: article
metadata_visibility: show
creators_name: Binti Hasan, N.A.S.
creators_name: Balasubramanian, P.
title: Exact solution for the kinetic equations of first order reversible reaction systems through flow graph theory approach
ispublished: pub
keywords: Chemically reacting systems; Kinetic equations; Linear ordinary differential equations; Molar concentration; Reacting species; Reaction stoichiometry; Reversible reaction; Time evolutions, Batch reactors; Graph theory; Graphic methods; Integral equations; Kinetic energy; Kinetic theory; Laplace transforms; Ordinary differential equations, Flow graphs
note: cited By 6
abstract: In a first order monomolecular reversible reaction system, the time evolution of molar concentration of the reacting species in a batch reactor is governed by linear ordinary differential equations. In this work, a flow graph theory approach is considered to derive the analytical solution for the kinetic equations of two and three species reacting systems. The flow graph is based on the image of reaction stoichiometry and utilizes Cramer's method of determinants to find an analytical solution for the chemically reacting system. The exact solutions derived for the reversible reaction systems through the flow graph theory approach are consistent with the reported analytical solutions obtained through Laplace transforms. © 2013 American Chemical Society.
date: 2013
official_url: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84881400755&doi=10.1021%2fie303501t&partnerID=40&md5=ab99c8666058d9e77127d1379a49304c
id_number: 10.1021/ie303501t
full_text_status: none
publication: Industrial and Engineering Chemistry Research
volume: 52
number: 31
pagerange: 10594-10600
refereed: TRUE
issn: 08885885
citation:   Binti Hasan, N.A.S. and Balasubramanian, P.  (2013) Exact solution for the kinetic equations of first order reversible reaction systems through flow graph theory approach.  Industrial and Engineering Chemistry Research, 52 (31).  pp. 10594-10600.  ISSN 08885885