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(C) The starting material is $1,2$-dimethylcyclohex-$3$-ene-$1,2$-diol. Upon treatment with $H^+$ and heating,the diol undergoes acid-catalyzed dehydr

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$1,2-$dimethylbenzene (o-xylene)

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(C) The starting material is $1,2$-dimethylcyclohex-$3$-ene-$1,2$-diol. Upon treatment with $H^+$ and heating,the diol undergoes acid-catalyzed dehydration followed by rearrangement to form an aromatic compound. The reaction involves the loss of two water molecules and the shifting of double bonds to achieve aromaticity,resulting in the formation of $1,2$-dimethylbenzene (o-xylene).

Product $(A)$ is

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