The product $(C)$ of the given reaction sequence is:

Match the compounds given in Column-$I$ with their names in Column-$II$.

Column-$I$ (Formula)	Column-$II$ (Name)
$(A)$ $CH_3-CH=CHCHO$	$(i)$ $1,3$-diphenylprop-$2$-en-$1$-one
$(B)$ $CH_3-C(CH_3)=CH-COCH_3$	(ii) Acetophenone-$2,4$-dinitrophenylhydrazone
$(C)$ $C_6H_5-CH=CH-COC_6H_5$	(iii) But-$2$-enal
$(D)$ $C_6H_5-C(CH_3)=N-NH-C_6H_3(NO_2)_2$	(iv) $4$-methylpent-$3$-en-$2$-one

What are $\underline{A}, \underline{B}, \underline{C}$ in the following reactions?
$(I)$ $(CH_3 CO_2)_2 Ca \stackrel{\Delta}{\longrightarrow} \underline{A}$
$(II)$ $CH_3 CO_2 H \underset{\text{Red P}}{\stackrel{HI}{\longrightarrow}} \underline{B}$
$(III)$ $2 CH_3 CO_2 H \stackrel{P_4 O_{10}}{\longrightarrow} \underline{C}$
$\underline{A} \quad \underline{B} \quad \underline{C}$

The product of the following reaction is:

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 correct match for the acid given in Column-$I$ with its formula in Column-$II$ and its $IUPAC$ name in Column-$III$.

Column-$I$ (Acid)	Column-$II$ (Formula) and Column-$III$ ($IUPAC$ Name)
$(A)$ Adipic acid	$(ii)$ $HOOC(CH_2)_4COOH$ ; $(y)$ Hexanedioic acid
$(B)$ Carballylic acid	$(iii)$ $HOOC-CH_2-CH(COOH)-CH_2-COOH$ ; $(n)$ Propane-$1,2,3$-tricarboxylic acid
$(C)$ Phthalic acid	$(i)$ $1,2-C_6H_4(COOH)_2$ ; $(x)$ Benzene-$1,2$-dicarboxylic acid
$(D)$ Glutaric acid	$(iv)$ $HOOC(CH_2)_3COOH$ ; $(m)$ Pentanedioic acid