The rate of a certain reaction was studied at various temperatures. The table sh

Question

The rate of a certain reaction was studied at various temperatures. The table shows temperature (T) and rate constant (k) data collected during the experiments. Plot the data, and then answer the following questions.

What is value of the activation energy, Ea, for this reaction? In kJ*mol-1

What is the value of the pre-exponential factor (sometimes called the frequency factor), A, for this reaction? In s-1

420

T (K) k (s-1) 400 0.0000173

420

0.000127 440 0.000773 460 0.00403 480 0.0183 500 0.0738 520 0.267 540 0.879 560 2.66 580 7.43

Explanation / Answer

ln(K2/K1) = EA/R[1/t1-1/t2]

ln(0.000127/0.0000173) = (Ea/8.314)*((1/400)-(1/420))

Ea = 139.22 kj/mol

K = A*e^(-Ea/RT)

0.0000173 = A*e^(-139220/(8.314*400))

A = frequency factor = 2.624*10^13

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