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Here's a precise problem for a chemistry student to solve based on the subtopic Rearrangement reactions:What products form from the acid-catalyzed rearrangement of 2-methyl-3-butene to form 3-methyl-1-butene? Use mechanisms to explain why this rearrangement occurs.

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The acid-catalyzed rearrangement of 2-methyl-3-butene to form 3-methyl-1-butene occurs through a series of steps involving the formation of a carbocation intermediate. Here's a step-by-step explanation of the mechanism:1. Protonation of the alkene: In the presence of an acid catalyst, the alkene  2-methyl-3-butene  reacts with a proton  H+  to form a carbocation intermediate. The double bond between carbons 3 and 4 breaks, and the proton attaches to carbon 3, forming a secondary carbocation at carbon 4.2. Carbocation rearrangement: The secondary carbocation formed in the previous step is not the most stable carbocation possible. A more stable carbocation can be formed by a 1,2-hydride shift. A hydride  H-  from the adjacent carbon  carbon 3  moves to the carbocation center  carbon 4 , forming a more stable tertiary carbocation at carbon 3.3. Deprotonation: In the final step, a base  usually the conjugate base of the acid catalyst  abstracts a proton from the carbon adjacent to the carbocation center  carbon 1 . This results in the formation of a new double bond between carbons 1 and 3, yielding the final product, 3-methyl-1-butene.The rearrangement occurs because the tertiary carbocation formed in step 2 is more stable than the initial secondary carbocation. This is due to the inductive effect and hyperconjugation, which stabilize the positive charge on the carbocation center. The more stable carbocation leads to a lower energy transition state, making the rearrangement thermodynamically favorable.

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