Calculate the total number of stereoisomers (including both optically active and meso forms) for cla β Isomerism 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
π‘ 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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