Isomerism and StereochemistryhardNUMERICAL

Calculate the total aggregate number of stereoisomers (active and meso) for the symmetrical compoundIsomerism 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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