Horvath Practice Problems 24

Horvath Practice Problems 24 - Ae − E a RT(5.1 where E a...

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5 THE ARRHENIOUS EQUATION Temperature Dependence of the Rate Constant We have learned that kinetics is an empirical science. That is, it is based more on experiment than on theory. One experimental observations is that the rate of a reaction generally increases as the temperature increases. In other words, the rate constant gets bigger with increasing temperature. An empirical rate constant that often captures the correct tem- perature dependence was proposed by Arrhenious:
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Unformatted text preview: Ae − E a RT (5.1) where E a is the Arrhenious activation energy and A is a con-stant called the frequency factor. Notice that if one takes the natural log of the Arrhenious equa-tion one has ln k = ln A − E a RT . (5.2) If ln k is plotted versus 1 T we get a straight line whose slope is E a R and intercept is ln A. So one needs to know the rate constant at least two tempera-tures to determine the Arrhenious parameters. THE ARRHENIOUS EQUATION 23...
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