Temperature Independence and The Relation To The Arrhenius Equation
The Arrhenius equation gives the quantitative basis of the relationship between the activation energy and the rate at which a reaction proceeds. From the Arrhenius equation, the activation energy can be expressed as
where A is the frequency factor for the reaction, R is the universal gas constant, T is the temperature (in kelvin), and k is the reaction rate coefficient. While this equation suggests that the activation energy is dependent on temperature, in regimes in which the Arrhenius equation is valid this is cancelled by the temperature dependence of k. Thus, Ea can be evaluated from the reaction rate coefficient at any temperature (within the validity of the Arrhenius equation).
Read more about this topic: Activation Energy
Famous quotes containing the words temperature, independence, relation and/or equation:
“The siren south is well enough, but New York, at the beginning of March, is a hoyden we would not care to missa drafty wench, her temperature up and down, full of bold promises and dust in the eye.”
—E.B. (Elwyn Brooks)
“... were not out to benefit society, to remold existence, to make industry safe for anyone except ourselves, to give any small peoples except ourselves their rights. Were not out for submerged tenths, were not going to suffer over how the other half lives. Were out for Marys job and Luellas art, and Barbaras independence and the rest of our individual careers and desires.”
—Anne OHagan (1869?)
“Concord is just as idiotic as ever in relation to the spirits and their knockings. Most people here believe in a spiritual world ... in spirits which the very bullfrogs in our meadows would blackball. Their evil genius is seeing how low it can degrade them. The hooting of owls, the croaking of frogs, is celestial wisdom in comparison.”
—Henry David Thoreau (18171862)
“A nation fights well in proportion to the amount of men and materials it has. And the other equation is that the individual soldier in that army is a more effective soldier the poorer his standard of living has been in the past.”
—Norman Mailer (b. 1923)