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 onlycolored species in the reaction has an extinction coefficientof 5.60 x 103 M-1 cm-1 at 520 nm. (a) Calculate the initialconcentration of the colored reactant if the absorbance is0.605 at the beginning of the reaction. (b) The absorbancefalls to 0.250 at 30.0 min. Calculate the rate constant inunits 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?

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