Figure 4.5 (page 116):

First-order, reversible kinetics in a batch reactor, k_1=1, k_{-1}=0.5, c_{A0}=1, c_{B0}=0.

Code for Figure 4.5

Text of the GNU GPL.

main.m

%% Copyright (C) 2001, James B. Rawlings and John G. Ekerdt
%%
%% This program is free software; you can redistribute it and/or
%% modify it under the terms of the GNU General Public License as
%% published by the Free Software Foundation; either version 2, or (at
%% your option) any later version.
%%
%% This program is distributed in the hope that it will be useful, but
%% WITHOUT ANY WARRANTY; without even the implied warranty of
%% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
%% General Public License for more details.
%%
%% You should have received a copy of the GNU General Public License
%% along with this program; see the file COPYING.  If not, write to
%% the Free Software Foundation, 59 Temple Place - Suite 330, Boston,
%% MA 02111-1307, USA.


k1 = 1;
k_1 = 0.5;
npts  = 100;
x = linspace(0,5,npts)';
y = [ exp(-(k1+k_1)*x)+k_1/(k1+k_1)*(1 - exp(-(k1+k_1)*x)), ...
     1 - (exp(-(k1+k_1)*x) + k_1/(k1+k_1)*(1 - exp(-(k1+k_1)*x))), ...
     ones(npts,1)/3, 2*ones(npts,1)/3];

table = [x, y];


plot (x, y)
title ('Figure 4.5')