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Equilibrium

Question
CBSEENCH11006573

Explain the following terms:
(i) Hydrolysis constant
(ii) Degree of hydrolysis.

Solution

(i) Hydrolysis constant:
Hydrolysis of a salt (BA) may be represented as
                      BA space plus straight H subscript 2 straight O space rightwards harpoon over leftwards harpoon space space space HA space plus space BOH
Applying the law of chemical equilibrium, we get, 
                    space straight K space equals space fraction numerator open square brackets HA close square brackets space open square brackets BOH close square brackets over denominator space open square brackets BA close square brackets space open square brackets straight H subscript 2 straight O close square brackets end fraction
Since water is present in very large excess in aqueous solution, its concentration open square brackets straight H subscript 2 straight O close square brackets may be regarded as constant.
                                straight K space cross times space open square brackets straight H subscript 2 straight O close square brackets space equals space fraction numerator open square brackets HA close square brackets space open square brackets BOH close square brackets over denominator open square brackets BA close square brackets end fraction
or space space space space space space space space space straight K subscript straight h space equals space fraction numerator open square brackets HA close square brackets space open square brackets BOH close square brackets over denominator open square brackets BA close square brackets end fraction
where space straight K subscript straight h space equals space straight K space cross times space open square brackets straight H subscript 2 straight O close square brackets space is space another space constant space called space the space hydrolysis space constant. space
Since [HA] and [BOH] represent the molar concentration of the free acid and the free base produced and [BA] represents the molar concentration of the unhydrolyzed salt, the expression for the hydrolysis constant may be written as,
straight K subscript straight h space equals space fraction numerator open square brackets Free space acid close square brackets space space open square brackets Free space base close square brackets over denominator left square bracket Unhydrolysed space salt right square bracket end fraction
(ii) The degree of hydrolysis: The degree of hydrolysis (α) of a salt is defined as the fraction (or percentage) of the total salt which is hydrolysed. For example, if in a solution of aniline hydrochloride, 90% of the salt is hydrolyzed into aniline and hydrochloric acid, the degree of hydrolysis is 0·90 Or may be expressed as percentage i.e. 90%.