The rate of a first-order reaction is followed by spectroscopy, monitoring the absorbance of a colored reactant at 520 nm. The reaction occurs in a 1.00-cm sample cell, and the only colored species in the reaction has an extinction coefficient of 5.60 × 103 M-1 cm-1 at 520 nm.
(a) Calculate the initial concentration of the colored reactant if the absorbance is 0.605 at the beginning of the reaction.
(b) The absorbance falls to 0.250 at 30.0 min. Calculate the rate constant in units of s-1.
(c) Calculate the half-life of the reaction.
(d) How long does it take for the absorbance to fall to 0.100?