See image — Isomerism and Stereochemistry Chemistry Question

💡 Solution & Explanation

# Analysis of Stereoisomers in Compound X **Structure Identification:** The compound $H_3C(HO)HC - CH = CH - CH(OH)CH_3$ has: - **2 chiral centers**: C1 (with $-OH$) and C4 (with $-OH$) - **1 C=C double bond** (C2=C3) between them --- **Step 1: Total stereoisomers** With 2 chiral centers: $2^2 = 4$ possible stereoisomers total **Statement (A) is INCORRECT** (claims 6) --- **Step 2: Diastereomers analysis** The 4 stereoisomers consist of: - 1 enantiomeric pair from one double bond geometry - 1 enantiomeric pair from the other double bond geometry This gives **2 pairs of enantiomers = 2 diastereomers per geometry** **Statement (B) is INCORRECT** (claims 3) --- **Step 3: Trans double bond (trans-alkene)** When the double bond is **trans**: - C1-C4 are on opposite sides of the double bond - The two chiral centers are **NOT equivalent** by symmetry - Both chiral centers can vary independently: $(R,R), (R,S), (S,R), (S,S)$ - All 4 stereoisomers are distinct enantiomers (2 enantiomeric pairs) - Number of enanomers = **4** ✓ **Statement (C) is CORRECT** --- **Step 4: Cis double bond (cis-alkene)** When the double bond is **cis**: - C1-C4 are on the same side - A **plane of symmetry** exists through the double bond - This creates a **meso compound**: $(R,S)$ is superimposable on $(S,R)$ - Only 2 distinct enanomers: $(R,R)$ and $(S,S)$ ✓ **Statement (D) is CORRECT** --- **Answer: (C) and (D)** are both correct statements.