Consider the following $E_1/S_N1$ reaction. The missing product$(s)$ is(are):

The reaction of the compound shown in the image with $alc. KOH$ yields:

Which among the following is $NOT$ obtained when bromobenzene is treated with bromoethane and sodium in the presence of dry ether?

Give the chemical reactions for the following conversions:
$(1)$ $m$-nitrobenzoic acid from toluene
$(2)$ $m$-chloronitrobenzene from benzene
$(3)$ $n$-propyl bromide from $1, 2$-dibromopropane

Write the structure of the major organic product in each of the following reactions:
$(i)$ $CH_3-CH_2-CH_2-Cl + NaI \xrightarrow[\text{heat}]{\text{acetone}}$
$(ii)$ $CH_3-C(CH_3)_2-Br + KOH \xrightarrow[\text{heat}]{\text{ethanol}}$
$(iii)$ $CH_3-CH(Br)-CH_2-CH_3 + NaOH \xrightarrow{\text{water}}$
$(iv)$ $CH_3-CH_2-Br + KCN \xrightarrow{\text{aq. ethanol}}$
$(v)$ $C_6H_5-ONa + C_2H_5-Cl \longrightarrow$
$(vi)$ $CH_3-CH_2-CH_2-OH + SOCl_2 \longrightarrow$
$(vii)$ $CH_3-CH_2-CH=CH_2 + HBr \xrightarrow{\text{peroxide}}$
$(viii)$ $CH_3-CH=C(CH_3)_2 + HBr \longrightarrow$

What are $X$ and $Y$ respectively in the following reaction sequence?
$C_3H_6$ $\xrightarrow[\text{(C}_6\text{H}_5\text{CO)}_2\text{O}_2]{\text{HBr}} X$ $\xrightarrow{\text{Na/ dry ether}} Y$