## Figure 5.10 (page 221):

### Normalized concentration of C versus dimensionless time for the series reaction A -> B -> C. ## Code for Figure 5.10

### 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.

% This program "schm1_conc.m" generates curves for the final product in
% a series problem as the rate constant ratios for the first and
% second first-order reactions are varied.
% Last edited 1/30/97.

global k1 k2

k1 = 1;

k2 = 1.0;
Initial = [1,0,0]';
t = [0:.01:5]';
opts = odeset ('AbsTol', sqrt (eps), 'RelTol', sqrt (eps));
[tsolver, solution] = ode15s(@rxrate,t,Initial,opts);
answer = [t solution];

k2 = 10.0;
Initial = [1,0,0]';
t = [0:.01:5]';
opts = odeset ('AbsTol', sqrt (eps), 'RelTol', sqrt (eps));
[tsolver, solution] = ode15s(@rxrate,t,Initial,opts);

k2 = 50.0;
Initial = [1,0,0]';
t = [0:.01:5]';
opts = odeset ('AbsTol', sqrt (eps), 'RelTol', sqrt (eps));
[tsolver, solution] = ode15s(@rxrate,t,Initial,opts);

c_Css = 1-exp(-k1*t);

title ('Figure 5.10')
```

### rxrate.m

```function dcdt = rxrate(t,x)
global k1 k2
c1 = x(1);
c2 = x(2);
c3 = x(3);

r1 = k1*c1;
r2 = k2*c2;

dcdt = [-r1; r1-r2; r2];
```