Write the chemical reactions of acetic acid $(CH_3COOH)$ with the following reagents:
$(i)$ Excess $Cl_2$ $+$ Red $P$ followed by $H_2O$
$(ii)$ Heating with sodalime $(NaOH + CaO)$
$(iii)$ Electrolysis of its sodium salt ($Kolbe's$ electrolysis)
$(iv)$ Heating with excess ammonia $(NH_3)$
$(v)$ Reaction with $PCl_5$
$(vi)$ Reaction with $PCl_3$
$(vii)$ Reaction with $SOCl_2$
$(viii)$ Heating with $P_2O_5$
$(ix)$ Reaction with $NaOH_{(aq)}$
$(x)$ Reaction with $NaHCO_{3_{(aq)}}$
$(xi)$ Reaction with $Na$ metal
$(xii)$ Reaction with $LiAlH_4$ / ether or $BH_3$
$(xiii)$ Reaction with ethanol $(C_2H_5OH)$ in the presence of $H_2SO_4$ or $HCl$ gas

(N/A) $(i)$ $CH_3COOH \xrightarrow{Cl_2/Red P} ClCH_2COOH \xrightarrow{Cl_2/Red P} Cl_2CHCOOH \xrightarrow{Cl_2/Red P} Cl_3CCOOH$
$(ii)$ $CH_3COOH + NaOH \rightarrow CH_3COONa + H_2O$; then $CH_3COONa + NaOH(CaO) \xrightarrow{\Delta} CH_4 + Na_2CO_3$
$(iii)$ $2CH_3COONa + 2H_2O \xrightarrow{Electrolysis} CH_3-CH_3 + 2CO_2 + H_2 + 2NaOH$
$(iv)$ $CH_3COOH + NH_3 \rightarrow CH_3COONH_4 \xrightarrow{\Delta} CH_3CONH_2 + H_2O$
$(v)$ $CH_3COOH + PCl_5 \rightarrow CH_3COCl + POCl_3 + HCl$
$(vi)$ $3CH_3COOH + PCl_3 \rightarrow 3CH_3COCl + H_3PO_3$
$(vii)$ $CH_3COOH + SOCl_2 \rightarrow CH_3COCl + SO_2 + HCl$
$(viii)$ $2CH_3COOH \xrightarrow{P_2O_5, \Delta} (CH_3CO)_2O + H_2O$
$(ix)$ $CH_3COOH + NaOH \rightarrow CH_3COONa + H_2O$
$(x)$ $CH_3COOH + NaHCO_3 \rightarrow CH_3COONa + H_2O + CO_2$
$(xi)$ $CH_3COOH + Na \rightarrow CH_3COONa + \frac{1}{2}H_2$
$(xii)$ $CH_3COOH \xrightarrow{LiAlH_4/Ether} CH_3CH_2OH$
$(xiii)$ $CH_3COOH + C_2H_5OH \xrightarrow{H^+} CH_3COOC_2H_5 + H_2O$