In the pharmaceutical industry, Mean kinetic temperature (MKT) is a calculated temperature that represents the equivalent thermal effect of temperature variations over time, such that the degradation occurring under fluctuating conditions is equal to that which would occur at a constant MKT value. 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}\,\!} is the mean kinetic temperature in kelvins
Δ H {\displaystyle \Delta H\,\!} is the activation energy (in kJ mol−1)
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