Question

$2$ mole each of $C{H}_{3}OH$ & $C{H}_{3}COOH$ are taken and heated in the presence of conc $H_{2}S{O}_4$ so that equilibrium is established. If $K_C$ for esterification process is $4$, mass of ester present at equilibrium (in gm) is:

• A. $98.4$
• B. $56.3$
• C. $224.0$
• D. $37.2$

Answer 1

The correct option is A $98.4$

$C{H}_{3}OH+C{H}_{3}COOH\underrightarrow{H^{+}}C{H}_{3}COOC{H}_3+H_{2}O$

$2-x$ $2-x$ $x$ $x$

$K_c=\frac{x^2}{(2-x{)}^2}=4\Rightarrow \frac{x}{2-x}=2$

$\therefore x=1.334moles$

$\therefore$ Mass of ester present $=x\times$ Molar mass of ester.

$=1.334\times 74$

$\approx 98.4g$