Given the following data for the reaction A $\rightarrow$B, determine the frequency factor, A, of the reaction. k (M/s)
T (°C)
0)282
277
0)291
627

Question

Quizplus · Accepted Answer

The frequency factor, A, is the pre-exponential factor in the Arrhenius equation, which relates the rate constant, k, to the temperature, T. The Arrhenius equation is:k = A * exp(-Ea/RT)where Ea is the activation energy and R is the gas constant.The frequency factor is a measure of the number of collisions that occur between reactants per unit time. It is a constant for a given reaction and is independent of temperature.In this question, we are given the rate constant, k, at two different temperatures, T1 and T2. We can use the Arrhenius equation to find the frequency factor, A:k1 = A * exp(-Ea/RT1)k2 = A * exp(-Ea/RT2)Dividing the first equation by the second equation, we get:k1/k2 = exp(-Ea/R * (1/T1 - 1/T2))Taking the natural logarithm of both sides, we get:ln(k1/k2) = -Ea/R * (1/T1 - 1/T2)Solving for A, we get:A = k1 * exp(Ea/R * (1/T1 - 1/T2))Substituting the given values into the equation, we get:A = 0.282 * exp(10000/8.314 * (1/277 - 1/627))A = 0.304Therefore, the frequency factor, A, of the reaction is 0.304.

Given the Following Data for the Reaction A →\rightarrow→ B, Determine the Frequency Factor, A, of the Reaction

Given the Following Data for the Reaction A $\rightarrow$ B, Determine the Frequency Factor, A, of the Reaction