Reaction kinetic studies in a batch reactor

1. The thermal decomposition of hydrogen iodide to hydrogen and iodine is conducted in a batch reactor. The following data are given

T, °C 508 427 393 356 283
k, cm3/mol/s0.1059 0.00310 0.000588 80.9 x 10 -6 0.942 x 10 -6
Show that the temperature dependency of rate equation follows Arrhenius equation. Find the activation energy and frequency factor.

2. The following data were obtained on the reaction 2 A -> B in a batch reactor
Time, s 0 5 10 15 20
[A], mol L-1 0.100 0.0141 0.0078 0.0053 0.004
Using a suitable plot, show that the reaction is second order. Find the rate constant.