Series Reactions in a Batch Reactor

Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
Two first-order, liquid-phase reactions take place in an isothermal batch reactor; the reactor initially contains only
at a concentration of
. The activation energy
of the second reaction (155 kJ/mol) is higher than the activation energy
of the first reaction (145 kJ/mol). Vary the temperature of the reaction with a slider. Use buttons
,
,
) to display the concentration of
,
, or
as a function of time. Select "
,
, and
" to display all three concentrations versus time. Select "selectivity
)" to plot
versus time. The selectivity changes with temperature because the reactions have different activation energies. The time scale in the plots changes between 465 K and 466 K.
Contributed by: Rachael L. Baumann (June 2013)
Additional contributions by: John L. Falconer and Nick Bongiardina
(University of Colorado Boulder, Department of Chemical and Biological Engineering)
Open content licensed under CC BY-NC-SA
Snapshots
Details
Consider the first-order reactions . The reactor is isothermal, and the temperature of the reactor is set with a slider. As the temperature changes, the selectivity
for the desired product
changes.
Mole balances are done:
,
,
,
,
,
where ,
, and
are the concentrations of
,
, and
(
),
is time (h),
and
are the rate constants for the first and second reactions (1/h),
and
are pre-exponential factors (1/h),
and
are activation energies (kJ/mol) where
,
is the ideal gas constant (kJ/[mol K]), and
is temperature (K) of the reaction.
The screencast video at [2] shows how to use this Demonstration.
References
[1] H. Scott Fogler, Essentials of Chemical Reaction Engineering, Boston: Pearson Education, 2011 pp. 298–302.
[2] Series Reactions in a Batch Reactor. www.colorado.edu/learncheme/kinetics/SeriesReactionsBatchReactor.html.
Permanent Citation