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04-BS-12 · May 2014

Question 1 of 5: Carbon Classification & Alkene Stability Ranking

Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)

Notes on this paper

National Exam 04-BS-12, Organic Chemistry — May 2014. 3 hours, closed-book examination; no calculator allowed. Answer ALL FIVE problems; each problem is of equal value (20 points), and the lettered/numbered sub-parts of a given problem may be treated independently.

Reference texts: McMurry, Organic Chemistry, 9th ed. (alkane/carbon classification, alkene stability and E/Z isomerism, electrophilic addition, electrophilic aromatic substitution and benzylic oxidation, Friedel–Crafts acylation, diazonium chemistry, constitutional isomerism).

a meta (1,3) relationship, matching the drawing convention used two questions later for Question 3(a)(i)'s explicitly-labelled meta compound. Solved below as meta; this changes the product from phthalic acid (ortho) to isophthalic acid (meta).

Question 1: Carbon Classification & Alkene Stability Ranking (20 marks)

Question text not reproduced: the examination questions are © Engineers and Geoscientists BC. Open the official past paper (linked at the top of this page) to read the question, then follow the worked solution below.

a) The compound is 1-ethyl-2-(2-methylpropyl)cyclohexane — an ethyl group and an isobutyl (2-methylpropyl) group on two adjacent ring carbons.

1-ethyl-2-(2-methylpropyl)cyclohexaneCH2CH3CH2CH(CH3)CH3
Fig. Q1a — 1-ethyl-2-(2-methylpropyl)cyclohexane, C12H24 (substituents on adjacent ring carbons)

(i)/(ii) Classification. A carbon's class depends only on how many other carbons it is directly bonded to: primary (p) = 1 carbon neighbour, secondary (s) = 2, tertiary (t) = 3. Working around the 12-carbon skeleton:

  1. Ring carbons. The two substituent-bearing ring carbons (C1: ethyl; C2: isobutyl) are each bonded to two ring neighbours plus the substituent's first carbon — three carbon neighbours each → both tertiary (t). The remaining four ring carbons (C3–C6) are each bonded only to their two ring neighbours → all four secondary (s).
  2. Ethyl substituent (–CH2–CH3). The –CH2– is bonded to the ring carbon and the terminal methyl — two neighbours → secondary (s). The terminal CH3 has one neighbour → primary (p).
  3. Isobutyl substituent (–CH2–CH(CH3)–CH3). The first –CH2– (bonded to the ring and the next carbon) → secondary (s). The branch CH (bonded to the CH2, and both methyl groups) — three neighbours → tertiary (t). Both terminal methyls (one neighbour each) → primary (p) × 2.
ClassCountWhich carbons
Primary (p)3ethyl CH3; both isobutyl branch CH3's
Secondary (s)6ring C3–C6 (4); ethyl CH2; isobutyl CH2
Tertiary (t)3ring C1, ring C2; isobutyl branch CH

b) Alkene stability. All three alkenes share the same degree of substitution pattern at the double bond itself (each alkene carbon bears one alkyl chain and one H, i.e. a 1,2-dialkyl/disubstituted alkene) — the differences are (1) E vs. Z geometry and (2) how bulky the two flanking alkyl groups are right at the double bond.

trans-3-hexenecis-3-hexenecis-2,5-dimethyl-3-hexeneCH3CH3
Fig. Q1b — the three alkenes (decreasing stability left→right)
  1. Trans (E) vs. cis (Z): trans is always more stable. In the trans isomer the two ethyl groups point to opposite sides of the double bond, minimizing steric (van der Waals) crowding; in the cis isomer they are forced onto the same side, creating steric strain that raises the molecule's energy (lower stability). This ranks trans-3-hexene above cis-3-hexene.
  2. Bulkier flanking groups increase cis strain further. Cis-2,5-dimethyl-3-hexene replaces each plain ethyl flank with an isopropyl-type flank (the branch methyl sits directly on the allylic carbon, right next to the double bond), so the two bulkier groups clash even more severely on the same side than cis-3-hexene's two ethyls do. This makes it the least stable of the three.
RankCompoundReason
1 (most stable)trans-3-hexenetrans, small ethyl flanks
2cis-3-hexenecis, small ethyl flanks (steric strain)
3 (least stable)cis-2,5-dimethyl-3-hexenecis, bulkier isopropyl-type flanks (most strain)
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