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Titanium (IV) and vanadium (V) form colored complexes when treated with hydrogen peroxide in 1M sulfuric acid. The titanium complex has an absorption maximum at 415nm, and the vanadium complex has an absorption maximum at 455nm. A 1.00x10-3M solution of the titanium complex exhibits an absorbance of 0.805 at 415nm and 0.465 at 455nm, while a 1.00x10-2M solution of the vanadium complex exhibits absorbances of 0.400 and 0.600 at 415nm and 455nm, respectively. A 1.0000g sample of an alloy containing titanium and vanadium was dissolved, treated with excess hydrogen peroxide, and diluted to a final volume of 100.0mL. The absorbance of the solution was 0.685 at 415nm and 0.513 at 455nm. What were the percentages of titanium and vanadium in the alloy?

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