A technician pipets 5.00 mL of an unknown aqueous cobalt(II) solution into a 100.0 mL volumetric flask and dilutes to the mark with deionized water. The absorbance of this diluted sample is measured at 510 nm in a 1.00 cm cuvette and found to be 0.372. At this wavelength the molar absorptivity for the cobalt(II) complex is 1.50×103Lmol−1cm−1.
Assuming ideal instrument performance and negligible experimental error, determine the molarity of the original unknown cobalt(II) solution.
a. Provide a complete calculation that leads to the molarity of the original unknown solution, including all intermediate values and correct units.