The isomerization of compound A to compound B is monitored at 298 K. The following half-life data are obtained.
Experiment
[A]₀ (mol L⁻¹)
t₁/₂ (s)
1
0.100
8.00
2
0.400
2.00
Assume the reaction follows a single rate law throughout.
(1) Determine the overall order of the reaction with respect to A. Show your reasoning using the numerical relationship between [A]₀ and t₁/₂.
(2) Using the order obtained in part (a), calculate the numerical value and units of the rate constant k at 298 K.
(3) For Experiment 2, calculate the time required for the concentration of A to decrease from 0.400 mol L⁻¹ to 0.100 mol L⁻¹. Express your answer with the appropriate number of significant figures and units.