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 alkyl substitution. Tertiary carbocations are more stable than secondary, which are more stable than primary, due to hyperconjugation and inductive effects. The presence of alkyl groups can donate electron density to the positively charged carbon, stabilizing the cation.
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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 delocalization of electrons helps to spread out the positive charge, thereby increasing the stability of the carbocation. More alkyl groups lead to more hyperconjugative interactions.
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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 positive charge in a carbocation. The more alkyl groups attached to the cation, the greater the inductive stabilization, making the cation more stable.
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Understanding the Inductive Effect.