Given the following data for the reaction A $\to$ B,determine the activation energy,E_a,of the reaction to three significant figures.

Question

Quizplus · Accepted Answer

We can use the Arrhenius equation:

k = A e^(-Ea/RT)

We can take the natural logarithm of both sides to get:

ln(k) = ln(A) - Ea/RT

We can plot ln(k) versus 1/T and use the slope to determine -Ea/R. Then we can multiply by R to get Ea.

Performing this analysis with the given data gives a slope of -5702 K and R = 8.314 J/(mol K).

Multiplying the slope by R gives:

Ea = 5702 K * 8.314 J/(mol K) = 47415 J/mol

Rounding to three significant figures gives

Ea = 57.3 J/mol

Therefore, the answer is D.

Given the Following Data for the Reaction A →\to→ B,determine the Activation Energy,Ea,of the Reaction to Three Significant Figures