Isomerism and StereochemistryhardNUMERICAL

Calculate the total number of stereoisomers (including both optically active and meso forms) for claIsomerism and Stereochemistry Chemistry Question

Question

Calculate the total number of stereoisomers (including both optically active and meso forms) for classic tartaric acid, whose chemical formula is $HOOC-CH(OH)-CH(OH)-COOH$.

Answer: 3

💡 Solution & Explanation

Tartaric acid is a symmetrical molecule because its two structural ends are identical. It contains an even number of chiral centers ($n=2$). The total number of stereoisomers for a symmetrical, even system is given by $2^{n-1} + 2^{(n/2 - 1)}$. Substituting $n=2$: $2^{(2-1)} + 2^{(2/2 - 1)} = 2^1 + 2^0 = 2 + 1 = 3$ (two enantiomers and one meso compound).

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