WOLFRAM|DEMONSTRATIONS PROJECT

A Second-Order Chemical Reaction

​
b
0
a
0
0.9
a
0
1.5
c
0
0
k
a
1
​A reaction of second order A + B → C is shown with initial concentrations
a
0
,
b
0
, and
c
0
. The rate constant
k
a
and the initial conditions are variable. Displayed are the time dependent concentrations that are solutions to the corresponding differential equations:
∂
t
a(t)=-
k
a
a(t)b(t)
,
∂
t
b(t)-
k
a
a(t)b(t)
,
∂
t
c(t)=
k
a
a(t)b(t)
,
with initial conditions
a(0)=
a
0
,
b(0)=
b
0
,
c(0)=
c
0
.
More information on the solutions as well as special cases can be found in Details.