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Identify compounds $X$ and $Y$ in the following reaction: $CH_3COOH + X$ $\xrightarrow{H^+} Y$ $\xrightarrow{H_2, Pd} 2C_2H_5OH$

Hydrolysis of an ester gives a carboxylic acid,which upon Kolbe's electrolysis yields ethane. Identify the ester.

Considering the reaction sequence given below,the correct statement$(s)$ is(are):
$A$. $P$ can be reduced to a primary alcohol using $NaBH_4$.
$B$. Treating $P$ with conc. $NH_4OH$ solution followed by acidification gives $Q$.
$C$. Treating $Q$ with a solution of $NaNO_2$ in aq. $HCl$ liberates $N_2$.
$D$. $P$ is more acidic than $CH_3CH_2COOH$.

In the following reaction sequence,the major product $P$ is formed. Glycerol reacts completely with excess $P$ in the presence of an acid catalyst to form $Q$. Reaction of $Q$ with excess $NaOH$ followed by the treatment with $CaCl_2$ yields $Ca$-soap $R$,quantitatively. Starting with one mole of $Q$,the amount of $R$ produced in gram is. . . . [Given,atomic weight: $H=1, C=12, N=14, O=16, Na=23, Cl=35, Ca=40$ ]

$CH_3-CO-CH_2-CH_2-CH_2-CO_2H \xrightarrow[(ii) H_2O, H^+]{(i) NaBH_4} ?$
What will be the final product of this transformation?

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