Compare the rates (R_1, R_2, R_3) of the foll | vedclass

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(C) The reactions involve the formation of carbocation intermediates in a solvolysis process ($S_N1$ mechanism).$1$. In the first reaction,a secondary

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$R_2 > R_1 > R_3$

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(C) The reactions involve the formation of carbocation intermediates in a solvolysis process ($S_N1$ mechanism).$1$. In the first reaction,a secondary carbocation is formed at the bridgehead position,which is relatively stable.$2$. In the second reaction,a tertiary carbocation is formed at the bridgehead position. Tertiary carbocations are more stable than secondary ones,so $R_2 > R_1$.$3$. In the third reaction,the carbocation is formed on a double bond (vinylic position). Vinylic carbocations are extremely unstable due to the $sp$ hybridization of the carbon atom,making the formation of this carbocation very difficult. Thus,$R_3$ is the slowest.Therefore,the order of rates is $R_2 > R_1 > R_3$.

Compare the rates $(R_1, R_2, R_3)$ of the following solvolysis reactions in ethanol $(EtOH)$:

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