An unknown compound $(A)$ (molar mass $= 180$) on acylation gives a product (molar mass $= 390$). Find the number of hydroxyl group present in compound $(A)$.

In the following reactions,what are $B$ and $X$ respectively?
$C_2H_5MgBr$ $\xrightarrow{ClCN} C_2H_5CN$ $\xrightarrow{H_3O^+} B$
$CH_3COCH_3$ $\xrightarrow[NaOH]{I_2} X + CHI_3$ $\xrightarrow{Ag} Y$
$C_6H_5NH_2$ $\xrightarrow[HCl]{NaNO_2} P$ $\xrightarrow{CuCN} Q$ $\xrightarrow{+4H} R$

An organic compound $[A]$,molecular formula $C_{10}H_{20}O_2$,was hydrolyzed with dilute sulphuric acid to give a carboxylic acid $[B]$ and an alcohol $[C]$. Oxidation of $[C]$ with $CrO_3-H_2SO_4$ produced $[B]$. Which of the following structures are not possible for $[A]$?

Identify $Z$ in the following reaction sequence:
$CH_3COONH_4$ $\xrightarrow{\Delta} X$ $\xrightarrow{P_2O_5} Y$ $\xrightarrow{H_2O/H^+} Z$

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: $H=1, C=12, N=14, O=16, Na=23, Cl=35, Ca=40$ ]

Esterification (shown below) is a reaction converting a carboxylic acid to its ester. It involves only the carbonyl carbon. Esterification of $(-)$ lactic acid with methanol yields $(+)$ methyl lactate. Assuming that there are no side reactions,what is true about this reaction?