Question 1Level 2 · ExamSingle correct
Suppose benzene had a single fixed Kekulé structure, with three localised C=C bonds and three localised C–C single bonds that never interconvert. Treat two dibromo derivatives CHBr as different whenever no symmetry operation of that fixed structure converts one into the other. If is the number of dibromobenzenes this model predicts and is the number actually known, then is ______. Exactly one option is correct.
A(3, 3)
B(4, 3)
C(5, 3)
D(4, 2)
Show answer and solution
Answer: B
Number the ring C1–C6 with fixed double bonds C1=C2, C3=C4, C5=C6. 1,2-Dibromo: the two Br atoms can sit on carbons joined by a double bond (C1, C2) or by a single bond (C2, C3). No symmetry of the fixed structure turns a double bond into a single bond, so these are two different compounds. 1,3-Dibromo: every 1,3 pair (e.g. C1, C3) is joined through one double and one single bond; all such pairs are equivalent, so one compound. 1,4-Dibromo: all para pairs are equivalent, so one compound. Fixed model: = 2 + 1 + 1 = 4. In reality all six C–C bonds are identical (139 pm); the two Kekulé structures are only resonance contributors to one delocalised structure, so there is a single 1,2-dibromobenzene. Known isomers: ortho, meta, para, = 3. Answer: (B). Difficulty: Hard