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WOLFRAM|DEMONSTRATIONS PROJECT

Nonisothermal Degradation Kinetics

​
t
25.
model
Arrheniusk
T
ref
E
A
(1/
T
ref
- 1/T)/R
e
exponentialk
T
ref
cT-
T
ref
e
C
0
10.
n
1.25
T
ref
25.
k​
T
ref
​
0.5
E
A
500.
c
0.6
temperature profile
risingt
b
r
+
T
0
falling
T
0
-t
b
f
oscillatingΔTsin(δ+tω)+
T
0
T
0
20.
b
r
0.1
b
f
0.1
ΔT
3.
ω
0.5
δ
0.
axes limits
time axis maximum
60.
temp. axis maximum
30.
conc. axis maximum
10.
rate axis minimum
-2.
The orders of chemical and biochemical reactions, their rate constants, and how they vary with temperature are usually determined in a series of isothermal experiments on samples where diffusion and transient heat transfer considerations can be neglected. The kinetics of nonisothermal or dynamic reactions under such circumstances can be predicted from such data using rate equations with parameters varying with time. This Demonstration illustrates the principle by simulating concentration versus time relationships in degradation reactions or decay processes in which the temperature rises linearly, falls linearly, or oscillates sinusoidally, and also when the rate temperature dependence of the rate constant is characterized by an Arrhenius or exponential model.
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