Some pairs of acids are given below. Select the pair in which the second acid is stronger than the first.

If there is a compound with the formula $CH_3C(OH)_3$,which one of the following compounds would be obtained from it without reaction with any reagent?

Derive an equation for $pK_{a}$ for carboxylic acid compounds. Also,give the relation between $pK_{a}$ and acidic strength.

When carboxylic acid reacts with organolithium reagents to give ketones,side reactions sometimes occur. For example,
$HOCH_2CH_2CH(CH_3)CH_2CH_2COOH$ $\xrightarrow[(x) \, CH_3Li]{tetrahydro\,furan}$ $\xrightarrow[NH_4Cl]{H_2O}$ $\underset{63\%}{\text{Compound } A: HOCH_2CH_2CH(CH_3)CH_2CH_2COCH_3}$ + $\underset{37\%}{\text{Compound } (B)}$
The value of $(x)$ in the above reaction is:

In the following reaction,$X$ and $Y$ respectively are:
$C_2H_5OH$ $\xrightarrow{KMnO_4 / H^+} X$ $\xrightarrow{C_2H_5OH / H_2SO_4, \Delta} CH_3COOC_2H_5$

$CH_3-CH_2-COOH$ $\xrightarrow{Cl_2/Fe} X$ $\xrightarrow{\text{Alcoholic } KOH} Y$. Compound $Y$ is: