Cobalt was used as an internal standard to analyze a sample of titanium with atomic absorption spectroscopy. A mixture was prepared by combining a 4.50 mL Ti solution of unknown concentration with 2.00 mL of a 10.5 micrograms/mL solution of Co. The atomic absorbances were measured as 0.106 and 0.214 for Ti and Co, respectively.
As a reference, a standard mixture containing 2.26 micrograms Co/mL and 1.92 micrograms Ti/mL was prepared and measured to have a signal-to-signal ratio of 2.41 Ti: 1.00 Co.
Determine the concentration (moles/L) of titanium in the original unknown solution.