Total number of possible stereoisomers of dim | vedclass

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(C) To find the total number of stereoisomers of dimethylcyclopentane,we analyze the structural isomers:$1$. $1,1$-dimethylcyclopentane: This molecule

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$6$

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(C) To find the total number of stereoisomers of dimethylcyclopentane,we analyze the structural isomers:$1$. $1,1$-dimethylcyclopentane: This molecule has a plane of symmetry and no chiral centers,so it has $0$ stereoisomers.$2$. $1,2$-dimethylcyclopentane: This molecule has $2$ chiral centers. It exists as a cis-isomer (which is meso,$1$ isomer) and a trans-isomer (which is a pair of enantiomers,$2$ isomers). Total = $3$ stereoisomers.$3$. $1,3$-dimethylcyclopentane: This molecule also has $2$ chiral centers. It exists as a cis-isomer (which is meso,$1$ isomer) and a trans-isomer (which is a pair of enantiomers,$2$ isomers). Total = $3$ stereoisomers.Summing these up,the total number of stereoisomers is $0 + 3 + 3 = 6$.

Total number of possible stereoisomers of dimethylcyclopentane is $....$

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