There are several factors that affect the rate of a reaction. These factors incl

Question

There are several factors that affect the rate of a reaction. These factors include temperature, activation energy, steric factors (orientation), and also collision frequency, which changes with concentration and phase. All the factors that affect reaction rate can be summarized in an equation called the Arrhenius equation:

k=AeEa/RT

where k is the rate constant, A is the frequency factor, Ea is the activation energy, R=8.314 J/(molK) is the universal gas constant, and T is the absolute temperature.

Part A

A certain reaction has an activation energy of 61.0 kJ/mol and a frequency factor of A1 = 5.30×1012 M1s1 . What is the rate constant, k, of this reaction at 22.0 C ?

Express your answer with the appropriate units. Indicate the multiplication of units explicitly either with a multiplication dot (asterisk) or a dash.

Explanation / Answer

Given

Activation energy Ea = 61 KJ/mol = 61000 J/mol

Frquency factor A = 5.3 * 1012  M-1 s-1

T = 22 C = 295 K

R = 8.314 J/mol.K

k = A e-Ea/RT

k = 5.3 * 1012 * e-(61000/(8.314*295 )  = 5.3 * 1012 * 1.579 * 10-11 = 83.71 M-1 s-1

Hence k = 83.71 (M-1 * s-1)

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