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Organic Synthesis: What products would you expect?

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What products would you expect from the reaction of 1 mol of 1,3-butadiene and each of the following reagents? (If no reaction would occur, indicate that as well.)
a) 1 mol of Cl2
b) 2 mol of Br2
c) Hot KMnO4 (excess)
d) 1 mol of Cl2 in H2O
e) 2 mol of H2, Ni

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This solution identifies products.

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a) Mixtures of 1,2- and 1,4-addition products are obtained when 1,3-butadiene is allowed to react with chlorine or bromine. ...

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