Variation of the rate constant with temperature for the first-order reaction

Question

2N2O5(g)  2N2O5(g) + O2(g)
Is given in the following table. Determine graphically the activation energy for the reaction.

T(K) k(s^-1)
2981.74 x 10^-5
308 6.61 x 10^-5
318 2.51 x 10^-4
328 7.59 x 10^-4
338 2.40 x 10^-3

Answer 1

Plotting lnk vs 1/T produces a line. The slope will be Ea and the intercept will be A. You can read more about it here.
http://en.wikipedia.org/wiki/Arrhenius_equation

Scroll down about half way on the page.

Answer 2

103.0 kJ/mole