In the following reactions,$P$,$Q$,$R$,and $S$ are the major products.
The correct statement$(s)$ about $P$,$Q$,$R$,and $S$ is (are)
$(A)$ $P$ and $Q$ are monomers of polymers dacron and glyptal,respectively.
$(B)$ $P$,$Q$,and $R$ are dicarboxylic acids.
$(C)$ Compounds $Q$ and $R$ are the same.
$(D)$ $R$ does not undergo aldol condensation and $S$ does not undergo Cannizzaro reaction.

The product is:

$CH_3COOH \xrightarrow{LiAlH_4} A$
$A + CH_3COOH \xrightarrow{H_3O^+} B + H_2O$
In the above reactions,'$A$' and '$B$' respectively are:

Provide identification tests for the following pairs of compounds:
$(1)$ Phenol and carboxylic acid
$(2)$ Formic acid and acetic acid
$(3)$ Acetic acid and ethanol
$(4)$ Acetic acid and acetone
$(5)$ Aldehyde and ketone
$(6)$ Acetaldehyde and acetone
$(7)$ Acetaldehyde and formaldehyde
$(8)$ Benzaldehyde and acetaldehyde

Find the missing information from the following reactions:
$(i)$ $CH_3COOH \rightarrow[\Delta]{H_2SO_4/P_2O_5} ?$
$(ii)$ $? + CH_3OH \rightleftharpoons[H^{+}]{} CH_3COOCH_3 + H_2O$
$(iii)$ $3 CH_3COOH + PCl_3 \rightarrow 3 CH_3COCl + ?$
$(iv)$ $CH_3COOH + PCl_5 \rightarrow CH_3COCl + ? + HCl$
$(v)$ $C_6H_5COONa \rightarrow{?} C_6H_6$
$(vi)$ $CH_3CH_2COOH \rightarrow{\text{excess } Br_2 + \text{Red } P} ? + ?$
$(vii)$ $CH_3CH_2COOH \rightarrow{?} CH_3CH_2CH_2OH$
$(viii)$ $C_6H_5COOH \rightarrow{\text{anhydrous } AlCl_3, CH_3Cl \text{ or } CH_3COCl} ?$

Match the following.

List-$I$ (Substance)	List-$II$ (Use)
$(A)$ Methanoic acid	$(i)$ Textile
$(B)$ Ethanoic acid	$(iv)$ Vinegar
$(C)$ Hexanedioic acid	$(ii)$ Polymer
$(D)$ Sodium benzoate	$(iii)$ Food preservative