Figure 8.29:

Reaction rate versus concentration of limiting reactant; rate expression is neither convex nor concave.

Code for Figure 8.29

Text of the GNU GPL.

main.m

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% 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.
%
% Revised 8/16/2018

a = 5;
b = 0.05;

% c0 = 5;
% conv = 0.95;
% d  = sqrt((1-2*b)*(1-2*b) - 4*b*(b+1));
% w1 = (1-2*b + d)/(2*b);
% w2 = (1-2*b - d)/(2*b);
% x1  = sqrt(w1/a);
% x2  = sqrt(w2/a);


c = linspace(0.01,10,300)';
y = rate(c, a, b);
table = [c y];

save -ascii leven_rate.dat table;

if (~ strcmp (getenv ('OMIT_PLOTS'), 'true')) % PLOTTING
    plot (table(:,1), table(:,2));
    % TITLE
end % PLOTTING

rate.m

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function retval = rate(c, a, b)
    rate = c./(1 + a*c.*c) + b*c;
    retval = rate;