See image β GOC and Organic Chemistry Basics Chemistry Question
Question
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π‘ Solution & Explanation
Ease of ionization under acidic conditions refers to the ease of carbocation (oxocarbenium/carbenium) formation upon protonation and loss of water β i.e., the stability of the resulting carbocation. Step 1 β Identify the carbocation formed upon ionization of each alcohol: β’ Compound I (9-fluorenol): loss of OH gives the 9-fluorenyl cation. The five-membered ring carbocation is flanked by two benzene rings; however, the geometry of fluorene forces the empty p-orbital to be perpendicular to both aromatic Ο-systems, giving poor conjugation. The 9-fluorenyl cation is actually destabilized relative to a simple benzylic cation because the two aryl groups are locked in a geometry where the p-orbital at C9 cannot overlap effectively with both arenes simultaneously (bridged, rigid planar system). The fluorenyl cation is antiaromatic (cyclopentadienyl cation character β 4Ο electrons in the five-membered ring), making it highly unstable. β’ Compound II (xanthen-9-ol): loss of OH gives the xanthenyl cation (xanthylium cation). The oxygen atom of the pyran ring is directly conjugated with the empty carbocation center at C9, providing powerful lone-pair donation (oxocarbenium stabilization), plus additional delocalization into both flanking benzene rings. The xanthylium cation is exceptionally stable β it is a well-known, isolable, highly colored cation. This gives compound II the greatest ease of ionization. β’ Compound III (dibenzosuberol): loss of OH gives the dibenzosuberyl (5-dibenzo[a,d]cycloheptenyl) cation. The seven-membered ring allows the two benzene rings to adopt a geometry where the empty p-orbital at C5 can conjugate with both arenes. The carbocation is stabilized by homoaromatic/bishomoarene overlap and normal bis-benzylic conjugation. It is more stable than the fluorenyl cation (no antiaromaticity) but less stable than the xanthylium cation (no heteroatom lone-pair donation). Step 2 β Rank the carbocation stabilities (= ease of ionization): Xanthylium (II) > Dibenzosuberyl (III) > Fluorenyl (I) β’ II is most stable due to oxygen lone-pair donation (oxocarbenium) + extended conjugation. β’ III is intermediate: bis-benzylic stabilization, flexible geometry, no destabilizing antiaromaticity. β’ I is least stable: the 9-fluorenyl cation is antiaromatic (4n Ο, n=1, in the five-membered ring), making ionization most difficult. Step 3 β Match to answer choices: Decreasing order of ease of ionization: II > III > I β option (c). Why other options fail: (a) I > III > II β wrong; places the antiaromatic fluorenyl cation as most stable, which is incorrect. (b) I > II > III β same error, also ignores oxocarbenium stabilization of II. (d) II > I > III β wrong order for I and III; fluorenyl cation is less stable than dibenzosuberyl cation. Therefore, the correct answer is C.