Chp10_Arrhenius

# Chp10_Arrhenius - Arrhenius Equation and the Temperature...

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Arrhenius Equation and the Temperature Dependence of Rate Constants Rate constants are temperature dependent in a manner reminiscent of the temperature dependence of equilibrium constants. The simplest model for this property is provided by the Arrhenius Equation: ( 29 RT E a e A k / - = where A is the so-called “pre-exponential factor” that accounts for the effects of entropy; E a is the “activation energy” and R & T are the gas constant and absolute temperature respectively. The activation energy is best thought of as an energy hill or barrier over which a reaction must go in converting from reactants to products. See Fig. 10.10 on page 270. If we take the natural logarithm of the Arrhenius Equation, we obtain: T R E A k a 1 ln ln - = Thus, a plot of ln(k) vs. 1/T will yield a straight line with slope –E a /R and intercept of ln(A). Note the similiarity with: T R H R S K 1 ln - = for the temperature dependence of the equilibrium constant.

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