The data below were collected for the following reaction at 500 ^\circ {\rm C}:
{\rm{CH}}_3 {\rm{CN(}}g)\; \rightarrow \;{\rm{CH}}_3 {\rm{NC(}}g)
Time(h) [CH3CN]
0.0 1.000
5.0 0.794
10.0 0.631
15.0 0.501
20.0 0.398
25.0 0.316

Determine the value of the rate constant at this temperature.

What is the half-life for this reaction (at the initial concentration)?

How long will it take for 84% of the {\rm{CH}}_3 {\rm{NC}} to convert to {\rm{CH}}_3 {\rm{CN}}?