The correct option is C I < II < III < IV
Higher the stability of the conjugate base more the extent of deprotonation.
(i) (CH3)2CHCOO−
(II) CH3CH2COO−
(III) Cl2CHCH2COO−
(IV)CH3CCl2COO−
In compound (IV) two Cl molecules withdraw the negative charge from the conjugate base and make it the most stable among the others.
Similarly, in compound (III) two Cl molecules withdraw the negative charge from the conjugate base making it more stable than the other two.
Comparing (III) and (IV),
-I effect depends on the distance at which -I group present from the negative charge. Since in (IV), Cl is present at shorter distance than in (III) its conjugate base is more stable than (III).
In compound (I) two CH3 molecules show +I effect increasing the negative charge on the conjugate base hence making it less stable than (II).