Give the chemical reactions for the following conversions:
$(1)$ Tertiary butyl alcohol from $1-$bromo$-2-$methylpropane
$(2)$ Ethanol from $1,2-$dibromoethane

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(N/A) $(1)$ Conversion of $1-$bromo$-2-$methylpropane to tertiary butyl alcohol:
$CH_3-CH(CH_3)-CH_2Br$ $\xrightarrow{\text{alc. KOH}} CH_3-C(CH_3)=CH_2$ $\xrightarrow{H_2O/H^+} CH_3-C(OH)(CH_3)-CH_3$
$(2)$ Conversion of $1,2-$dibromoethane to ethanol:
$CH_2Br-CH_2Br$ $\xrightarrow{Zn, \Delta} CH_2=CH_2$ $\xrightarrow{H_2O/H^+} CH_3-CH_2OH$

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