Final answer:
Ferrocene, Acetylferrocene, and Diacetylferrocene can be ranked by increasing polarity based on their elution order from column chromatography and corresponding R values in TLC analysis, with Ferrocene being the least polar, followed by Acetylferrocene, and Diacetylferrocene as the most polar.
Step-by-step explanation:
The substances Ferrocene, Acetylferrocene, and Diacetylferrocene can be ranked in order of increasing polarity based on their behavior during column chromatography and TLC analysis. Ferrocene, having no polar functional groups, is the least polar and was eluted first using pure hexane, a nonpolar solvent. Acetylferrocene, with one acetyl group, has a higher polarity and required a 1:1 mixture of hexane and methylene chloride for elution. Diacetylferrocene, with two acetyl groups, is the most polar and required a stronger polar solvent mixture (9:1 mixture of hexane and methylene chloride) to elute. The TLC results should support this ranking, as Ferrocene would have the lowest Rf value (indicating the least interaction with the polar stationary phase), followed by Acetylferrocene with a higher Rf value, and Diacetylferrocene with the highest Rf value, assuming a typically polar stationary phase for TLC.