One mole of pure ethyl alcohil was treated with one mole of pure acetic acid at `25^(@)C` One -third of the acid changes into ester at equilibrium . The equilibrium constant for the reaction will be:

Options

A. 1
B. 2
C. 3
D. 4

Answer

D

Explanation

`C_(2)H_(2)OH+COOHtoCH_(3)COOC_(2)H_(5)+H_(2)O`
`{:("Initial conc.","1 mol","1 mol","0 mole","0 mole"),("At equlibrium", 1-2/3=1/3 "mol",1/3"mol",2/3"mol",2/3"mol"):}`
`K_(C)=((2)/(3)xx(2)/(3))/(1/2xx1/3)=4`