X = Total possible isomers of dimethylcyclohexane which are chiral. Find the value of X.

Question

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Ans. 4

Sol. structure

structure

1,1-dimethyl (achiral), cis-1,2 (achiral, meso), trans-1,2 (chiral - a pair of enantiomers), cis-1,3 (achiral, meso), trans-1,3 (chiral - a pair of enantiomers), cis-1,4 (achiral), trans-1,4 (achiral). Chiral isomers = trans-1,2 (2) + trans-1,3 (2), so X = 4.

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