Propose a mechanism for each reaction, showing explicitly how the observed mixtures of products are formed.(a) 3@methylbut@2@en@1@ol + HBr S 1@bromo@3@methylbut@2@ene + 3@bromo@3@methylbut@1@ene(b) 2@methylbut@3@en@2@ol + HBr S 1@bromo@3@methylbut@2@ene + 3@bromo@3@methylbut@1@ene(c) cyclopenta-1,3-diene + Br2 S 3,4-dibromocyclopent-1-ene + 3,5-dibromocyclopent-1-ene(d) 1@chlorobut@2@ene + AgNO3, H2O S but@2@en@1@ol + but@3@en@2@ol(e) 3@chlorobut@1@ene + AgNO3, H2O S but@2@en@1@ol + but@3@en@2@ol

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Propose a mechanism for each reaction, showing explicitly how the observed mixtures of products are formed.
(a) 3@methylbut@2@en@1@ol + HBr S 1@bromo@3@methylbut@2@ene + 3@bromo@3@methylbut@1@ene
(b) 2@methylbut@3@en@2@ol + HBr S 1@bromo@3@methylbut@2@ene + 3@bromo@3@methylbut@1@ene
(c) cyclopenta-1,3-diene + Br2 S 3,4-dibromocyclopent-1-ene + 3,5-dibromocyclopent-1-ene
(d) 1@chlorobut@2@ene + AgNO3, H2O S but@2@en@1@ol + but@3@en@2@ol
(e) 3@chlorobut@1@ene + AgNO3, H2O S but@2@en@1@ol + but@3@en@2@ol

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