From Wikipedia, the free encyclopedia
Mean kinetic temperature (MKT ) is a simplified way of expressing the overall effect of temperature fluctuations during storage or transit of perishable goods. The MKT is used to predict the overall effect of temperature fluctuations on perishable goods. It has more recently been applied to the pharmaceutical industry .
The mean kinetic temperature can be expressed as:
T
K
=
Δ
H
R
−
ln
(
t
1
e
(
−
Δ
H
R
T
1
)
+
t
2
e
(
−
Δ
H
R
T
2
)
+
⋯
+
t
n
e
(
−
Δ
H
R
T
n
)
t
1
+
t
2
+
⋯
+
t
n
)
{\displaystyle T_{K}={\cfrac {\frac {\Delta H}{R}}{-\ln \left({\frac {{t_{1}}e^{\left({\frac {-\Delta H}{RT_{1}}}\right)}+{t_{2}}e^{\left({\frac {-\Delta H}{RT_{2}}}\right)}+\cdots +{t_{n}}e^{\left({\frac {-\Delta H}{RT_{n}}}\right)}}{{t_{1}}+{t_{2}}+\cdots +{t_{n}}}}\right)}}}
Where:
T
K
{\displaystyle T_{K}\,\!}
kelvins
Δ
H
{\displaystyle \Delta H\,\!}
activation energy (in kJ mol−1 )
R
{\displaystyle R\,\!}
gas constant (in J mol−1 K−1 )
T
1
{\displaystyle T_{1}\,\!}
T
n
{\displaystyle T_{n}\,\!}
t
1
{\displaystyle t_{1}\,\!}
t
n
{\displaystyle t_{n}\,\!}
When the temperature readings are taken at the same interval (i.e.,
t
1
{\displaystyle t_{1}\,\!}
t
2
{\displaystyle t_{2}\,\!}
⋯
{\displaystyle \cdots }
t
n
{\displaystyle t_{n}\,\!}
T
K
=
Δ
H
R
−
ln
(
e
(
−
Δ
H
R
T
1
)
+
e
(
−
Δ
H
R
T
2
)
+
⋯
+
e
(
−
Δ
H
R
T
n
)
n
)
{\displaystyle T_{K}={\cfrac {\frac {\Delta H}{R}}{-\ln \left({\frac {e^{\left({\frac {-\Delta H}{RT_{1}}}\right)}+e^{\left({\frac {-\Delta H}{RT_{2}}}\right)}+\cdots +e^{\left({\frac {-\Delta H}{RT_{n}}}\right)}}{n}}\right)}}}
Where:
n
{\displaystyle n\,\!}
