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 widely used in 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\,\!}
External links
