Calculate the total aggregate number of stereoisomers (active and meso) for the symmetrical compound — Isomerism and Stereochemistry Chemistry Question
Question
Calculate the total aggregate number of stereoisomers (active and meso) for the symmetrical compound 2,4-dichloro-3-pentanol ($CH_3-CH(Cl)-CH(OH)-CH(Cl)-CH_3$).
Answer: 4
💡 Solution & Explanation
The molecule is symmetrical (terminals are identical methyls) and contains an odd number of chiral centers ($n=3$). The formula for calculating the total number of stereoisomers in a symmetrical odd system is simply $2^{n-1}$. Therefore, $2^{(3-1)} = 2^2 = 4$ total isomers.
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