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

Question

e 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. The rate of a certain reaction was studied at variou T (K) (s) 400 420 440 460 480 500 520 540 560 580 What is value of the activation energy, Ea, for this reaction? 0.0000173 0.000127 0.000773 0.00403 0.0183 0.0738 0.267 0.879 2.66 7.43 Number kJ mol What is the value of the pre-exponential factor (sometimes called the frequency factor), A, for this reaction? weauin ty tre af he pis reacronia factor (sometimes called the Number

Explanation / Answer

according to arrhenius equation

ln (K2/K1 ) = ( Ea / R ) ( 1/T1 - 1/T2 )

so

using T1 as 560 and T2 as 580 we get

ln ( 7.43 / 2.66 ) = ( Ea / 8,314 ) ( 1/560 - 1/580)

Ea = 138.69 kJ/mol

so the activation energy is 138.69 kJ/mol

now

K = Ae^(-Ea /RT )

so

consider at temp 560 we get

2.66 = Ae(-138.69 x 1000 / 8.314 x 560 )

solving we get

A= 2.30 x 10^13

so the pre-exponentital factor is 2.30 x 10^13 s-1

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