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WOLFRAM|DEMONSTRATIONS PROJECT

Endpoints Method for Predicting Chemical Degradation in Frozen Foods

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kinetic parameter estimation
T
1
-15.
t
final1
100.
C
exper1
0.85
T
2
-5.
t
final2
60.
C
exper2
0.65
assumed kinetic order
n
assumed
1.
reference temperature
T
ref
-10.
estimated degradation's parameters
k
Trefest
0.02
c
est
0.08
time axis maximum
t
max
250.
temperature axis minimum
T
max
-40.
prediction
show prediction for the following conditions
T
3
-20.
t
final3
200.
T
1
(t) = -15.
T
2
(t) = -5.
n
as
= 1.
T
ref
= -10.
k
Trefest
= 0.02
c
est
= 0.08
The chemical degradation of nutrients and pigments in stored frozen foods frequently follows first-order or approximately first-order kinetics. If their concentration ratios after storage for times
t
1
and
t
2
at temperatures
T
1
and
T
2
, respectively, are experimentally determined, then it is possible, at least in theory, to extract their kinetic parameters from these endpoints, assuming that the rate constant’s temperature dependence follows the simple exponential model (a convenient substitute for the traditional Arrhenius equation).
This Demonstration exploits this principle to recreate the entire degradation curves at the two temperatures (both must be below the freezing point) and predict those at other frozen temperatures by numerical solution of the two corresponding simultaneous nonlinear equations. The solution is aided by matching the two endpoints with their recreated degradation curves on the screen, using sliders.
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