Use the Beer-Lambert relationship in quantitative spectrophotometric analysis.
Calculate the following (express your answer to 3 significant figures):
(a) The concentration \(\left(\mu \mathrm{g} \mathrm{mL}^{-1}\right)\) of
pentachlorophenol in a test solution giving an absorbance at \(300
\mathrm{~nm}\left(A_{300}\right)\) of \(0.57\) in a cuvette of path length \(5
\mathrm{~mm}\), based on an absorptivity of \(20 \mathrm{~L} \mathrm{~g}^{-1}
\mathrm{~cm}^{-1}\).
(b) The amount (ng) of pentachlorophenol in a \(50 \mu \mathrm{L}\) sub-sample
from a test solution where \(A_{300}=0.31\) in a cuvette of path length \(1
\mathrm{~cm}\), based on an absorptivity of \(20 \mathrm{~L} \mathrm{~g}^{-1}
\mathrm{~cm}^{-1}\).