Fraction of molecules The exponential term in the Arrhenius equation is equal to

Question

Fraction of molecules The exponential term in the Arrhenius equation is equal to the fraction of molecules, f, with kinetic energy greater than or equal to the activation energy: f=e^{-E/(R T) Most scientific calculators have an ex function as the second function of the LN button. Part B A certain reaction with an activation energy of 165kJ/mol was run at 465K and again at 485K . What is the ratio of f at the higher temperature to f at the lower temperature? Express your answer numerically using one significant figure.

Explanation / Answer

f(485)/f(465) = exp(-165000/8.314x485)/ exp(-165000/8.314 x465) = 1.6935 x10^ -18/2.91 x10^ -19 = 5.8

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