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(A) The reaction involves $\gamma$-butyrolactone reacting with a di-Grignard reagent,$BrMg-(CH_2)_4-MgBr$. $1$. The nucleophilic carbon of the Grignar

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Cyclopentanol derivative with a $-(CH_2)_3-OH$ group

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(A) The reaction involves $\gamma$-butyrolactone reacting with a di-Grignard reagent,$BrMg-(CH_2)_4-MgBr$. $1$. The nucleophilic carbon of the Grignard reagent attacks the carbonyl carbon of the $\gamma$-butyrolactone,leading to the ring opening of the lactone. $2$. The intermediate formed is a di-alkoxide species. $3$. Upon acid hydrolysis $(H_3O^{+})$,the alkoxide groups are protonated to form hydroxyl groups. $4$. The final product is a cyclic structure with a side chain,specifically $1-$($4$-hydroxybutyl)cyclopentan$-1-$ol (or a similar diol derivative depending on the exact cyclization). Based on the provided reaction scheme,the product is a diol where the ring has opened and the Grignard chain has attached.

Identify the product of the following reaction: $\gamma$-butyrolactone + $BrMg-(CH_2)_4-MgBr$ $\xrightarrow[(ii) H_3O^{+}]{(i) THF}$

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