mean kinetic temperature
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Mean kinetic temperature (MKT) is a simplified way of expressing the overall effect of
temperature Temperature is a physical quantity that expresses quantitatively the perceptions of hotness and coldness. Temperature is measurement, measured with a thermometer. Thermometers are calibrated in various Conversion of units of temperature, temp ...
fluctuations during storage or transit of perishable goods. The MKT is widely used in the
pharmaceutical industry The pharmaceutical industry discovers, develops, produces, and markets drugs or pharmaceutical drugs for use as medications to be administered to patients (or self-administered), with the aim to cure them, vaccinate them, or alleviate symptoms. ...
. The mean kinetic temperature can be expressed as: :T_K=\cfrac Where: : T_K\,\! is the mean kinetic temperature in
kelvins The kelvin, symbol K, is the primary unit of temperature in the International System of Units (SI), used alongside its prefixed forms and the degree Celsius. It is named after the Belfast-born and University of Glasgow-based engineer and phy ...
: \Delta H\,\! is the
activation energy In chemistry and physics, activation energy is the minimum amount of energy that must be provided for compounds to result in a chemical reaction. The activation energy (''E''a) of a reaction is measured in joules per mole (J/mol), kilojoules p ...
(in kJ mol−1) : R\,\! is the
gas constant The molar gas constant (also known as the gas constant, universal gas constant, or ideal gas constant) is denoted by the symbol or . It is the molar equivalent to the Boltzmann constant, expressed in units of energy per temperature increment per ...
(in J mol−1 K−1) : T_1\,\! to T_n\,\! are the temperatures at each of the sample points in kelvins : t_1\,\! to t_n\,\! are time intervals at each of the sample points When the temperature readings are taken at the same interval (i.e., t_1\,\! = t_2\,\! = \cdots = t_n\,\!), the above equation is reduced to: :T_K=\cfrac{-\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\,\! is the number of temperature sample points Temperature Pharmaceutical industry