a. Draw the product or products that would be obtained from the reaction of $c i s-2$ -butene and trans-2-butene with each of the following reagents. If a product can cxist as stereoisomers, show which stercoisomers are formed.
1. $\mathrm{HCl}$
4. $\mathrm{Br}_{2}$ in $\mathrm{CH}_{2} \mathrm{Cl}_{2}$
7. $\mathrm{H}_{2} \mathrm{O}+\mathrm{H}_{2} \mathrm{SO}_{4}$
2. $\mathrm{BH}_{3} / \mathrm{THF}$ followed by $\mathrm{HO}^{-}, \mathrm{H}_{2} \mathrm{O}_{2}, \mathrm{H}_{2} \mathrm{O}$
5. $\mathrm{Br}_{2}+\mathrm{H}_{2} \mathrm{O}$
8. $\mathrm{CH}_{3} \mathrm{OH}+\mathrm{H}_{2} \mathrm{SO}_{4}$
3. a peroxyacid
6. $\mathrm{H}_{2}^{-}+\mathrm{Pd} / \mathrm{C}$
b. With which reagents do the two alkenes react to form different products?