Calculate the total number of stereoisomers f | vedclass

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Question

(A) The given compound is $3$-butenyl-$4$-vinylcyclopent-$1$-ene. First,identify the stereocenters and double bonds capable of exhibiting geometrical

Vedclass · Accepted Answer

$8$

Vedclass · Answer

(A) The given compound is $3$-butenyl-$4$-vinylcyclopent-$1$-ene. First,identify the stereocenters and double bonds capable of exhibiting geometrical isomerism. There are $2$ chiral centers in the cyclopentene ring (at positions $3$ and $4$). There are $3$ double bonds in the molecule: $1$. The double bond in the cyclopentene ring. $2$. The double bond in the butenyl group $(-CH=CH-CH_2CH_3)$. $3$. The double bond in the vinyl group $(-CH=CH_2)$. However,the double bond in the cyclopentene ring cannot show geometrical isomerism due to ring strain. The double bond in the vinyl group $(-CH=CH_2)$ also cannot show geometrical isomerism because one carbon atom has two identical hydrogen atoms. Thus,only the double bond in the butenyl group can exhibit geometrical isomerism ($E/Z$ isomerism). Number of stereocenters $(n)$ = $2$. Number of double bonds showing geometrical isomerism $(m)$ = $1$. Total stereoisomers = $2^{(n+m)} = 2^{(2+1)} = 2^3 = 8$.

Calculate the total number of stereoisomers for the given compound.

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