Investigating carotenoid loss after drying and storage of

242
Appendix 1
B/Calculation of Arrhenius model robustness using experimental
points – under variable temperature (anisothermal) conditions in the
dark
Solving of the Arrhenius equation for a first order kinetics of degradation
dC
= −kC
(First order equation) (1)
dt
−Ea
RT
= ek (Arrhenius equation) (2)
C
∞
−Ea
dC RT
∞
C
C0
dC
C
−Ea
dC RT
= −k
e dt (concentrations and times are put separately)
= −k
t
−Ea
RT
!!
e dt (integration)
∞
0
t
−Ea
= − ∞ Cek
(1) + (2)
dt
C
RT
ln = −k
∞ e dt
C ! (integrate of derivate is equal to logarithm of concentration)
C
C
0
0
=
= e
0
k e
t
− Ea
RT
∞ !
0
−
0
dt
k e
t
− Ea
RT
∞
0
−
eC !
(exponential)
dt