Isomerization of CH 3 NC occurs slowly when CH 3 NC is heated. To study the rate

Question:

Isomerization of CH₃NC occurs slowly when CH₃NC is heated.

To study the rate of this reaction at 488 K, data on [CH₃NC] were collected at various times. Analysis led to the following graph.
(a) What is the rate law for this reaction?
(b) What is the equation for the straight line in this graph?

(c) Calculate the rate constant for this reaction.
(d) How long does it take for half of the sample to isomerize?
(e) What is the concentration of CH₃NC after 1.0 × 10⁴ s? [ -4.0 -5.0 -6.0 -7.0 0 4000 8000 12,000 Time, seconds