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Question

$$2$$ mole each of $$CH_3OH$$ & $$CH_3COOH$$ are taken and heated in the presence of conc $$H_2SO_4$$ 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
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B
56.3
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C
224.0
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D
37.2
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Solution

The correct option is A $$98.4$$
$$CH_3OH+CH_3COOH\quad \underrightarrow{H^+}\quad CH_3COOCH_3+H_2O$$
   $$2-x$$                   $$2-x$$                                 $$x$$                   $$x$$
$$K_c=\cfrac{x^2}{(2-x)^2}=4\Rightarrow \cfrac{x}{2-x}=2$$
$$\therefore x=1.334moles$$
$$\therefore$$ Mass of ester present $$=x\times $$ Molar mass of ester.
$$=1.334\times 74$$
$$\approx 98.4g$$

Chemistry

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