Here are the essential concepts you must grasp in order to answer the question correctly.
Carbocation Stability
Carbocation stability is influenced by the degree of substitution at the positively charged carbon atom. Tertiary carbocations (three alkyl groups attached) are more stable than secondary (two alkyl groups) and primary (one alkyl group) due to hyperconjugation and inductive effects, which help to disperse the positive charge.
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Determining Carbocation Stability
Hyperconjugation
Hyperconjugation is a stabilizing interaction that occurs when the electrons in a sigma bond (C-H or C-C) interact with an adjacent empty p-orbital of a carbocation. This interaction allows for the delocalization of the positive charge, enhancing the stability of the carbocation, particularly in more substituted carbocations.
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Understanding trends of alkene stability.
Inductive Effect
The inductive effect refers to the electron-withdrawing or electron-donating effects of substituents through sigma bonds. Alkyl groups are electron-donating, which can help stabilize a carbocation by reducing the positive charge through the inductive effect, making carbocations with more alkyl groups more stable.
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Understanding the Inductive Effect.