Question

The rate constants for the reaction of oxygen atoms with benzene have been reported to be:...

The rate constants for the reaction of oxygen atoms with benzene have been reported to be:

k (M-1 s-1) 1.44 x 107 3.03 x 107 6.90 x 107

T (oC) 27.2 68.0 119

Determine the activation energy and pre-exponential constant for this reaciton

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Homework Answers

Answer #1

Solution:

We know Arhenium equation,

K = Ae(-E/RT)

ln K = ln A - E/RT

Plot a graph of lnK vs 1/T, the slpope of the straight line is -E/R and Intercept is ln A

so,

K lnK T C T K 1/T
1.44 * 107 16.48 27.2 300.2 0.00333
3.3 * 107 17.31 68 341 0.00293
6.9 * 107 18.05 119 392 0.00255

The graph is as follows:

Slope of the line = Y/X

= -1.57/0.0078

= -2012.82

Activation energy is = -Slope * R

= - (-2012.82) * 8.314

Ea = 16734 J

Y intercept of the line 16.05

ln A = 16.05

A = 43.62

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