Here are the essential concepts you must grasp in order to answer the question correctly.
Carbocation Stability
Carbocations are positively charged carbon species that can vary in stability based on their structure. Stability increases with the degree of substitution; 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 from surrounding alkyl groups.
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Determining Carbocation Stability
Hyperconjugation
Hyperconjugation is the 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.
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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 attached to a carbon chain. Alkyl groups are electron-donating, which can help stabilize a carbocation by dispersing the positive charge through the sigma bonds, making carbocations with more alkyl groups attached more stable.
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Understanding the Inductive Effect.