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 on the positively charged carbon atom. Tertiary carbocations, which have three alkyl groups attached, are more stable than secondary and primary carbocations due to hyperconjugation and inductive effects. The more alkyl groups surrounding the carbocation, the greater the electron-donating effect, which helps to stabilize 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 (usually 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. The more hyperconjugative interactions available, the more stable the carbocation becomes.
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Understanding trends of alkene stability.
Inductive Effect
The inductive effect refers to the electron-withdrawing or electron-donating effects transmitted through sigma bonds in a molecule. Alkyl groups are electron-donating, which can help stabilize a carbocation by reducing the positive charge through the inductive effect. The presence of more alkyl groups around a carbocation enhances its stability due to this electron-donating property.
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Understanding the Inductive Effect.