1. A decomposition reaction proceeds according to first-order kinetics, the rate constants at various temperatures are as follows:

Temperature (C)	Rate constant (s-1)
15.0	4.18 x 10-6
20.0	7.62 x 10-6
25.0	1.37 x 10-5
30.0	2.41 x 10-5
37.0	5.15 x 10-5

Using the Arrhenius equation, calculate the pre-exponential factor (A) and the energy of activation (Ea) for this reaction. Use 8.3145 J/K*mol for the gas constant. What is the shelf-life (95% remaining) of the substance at 4.0C?What is the half-life of the substance at 40.0C? (HINT: You will need to plot this data on a graph with the x-axis being 1/T (where T = temperature in K) and the y-axis is log k. On the resulting graph, the slope of the line is Ea/2.303R and the y-intercept is log A)