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 = Ae^-E_a/RT where k is the rate constant, A is the frequency factor. E_a is the activation energy, R = 8.314 J/(mole middot K) is the universal gas constant, and T is the absolute temperature. A certain reaction has an activation energy of 65.0 kJ/midland a frequency factor of A_1 = 5.50 times 10^12 M^-1s^-1. What is the rate constant, k of this reaction at 26.0 Degree C? k = the Arrhenius equation can be rearranged to a form that resembles the equation for a straight line: ln k = -(E_a/R) (1/T) + ln A y = m x + b where y is in k m is the slope or E_a/R x is 1/T and b is the y-intercept or in A. the linearity of this equation is illustrated graphically in the image. An unknown reaction was observed, and the following data were collected: Determine the activation energy for this reaction.

Explanation / Answer

A) k = Ae^(-Ea/RT);
k = (5.50×10^12)e^((-65,000 J/mol)/(8.314 J/K·mol)(303 K));
k = 24.243

(B) ln k = (-Ea/R) x (1/T) + ln A

ln(k2/k1) = (-Ea/R) x (1/T2 - 1/T1)

ln(185/109) = (-Ea/8.314) x (1/426 - 1/352)

Ea = 8.91 x 103 J/mol = 8.91 kJ/mol

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