Question

Derive the equation which implies that the degree of dissociation of weak acid

is inversely proportional to the square root of its concentration ​

Answer 1

Explanation:

The degree of dissociation of weakelectrolyte is inversely proportional to the square root of concentration. ... α2α1=Ka2Ka1 , if concentrationis same. α2α1=c1c2 , if acid is same. a1 and a2 are in ratio of 1:2,Ka1=2×10−4.

Answer 2

The degree of dissociation (α) of a weak acid is related to its acid dissociation constant (Ka) and initial concentration ([HA]) by the equation α = Ka / ([HA] + Ka).

The degree of dissociation of a weak acid, denoted by α, is the fraction of acid molecules that dissociate into ions in a solution. The dissociation of a weak acid can be represented by the following chemical equation:

HA ⇌ H+ + A-

where HA represents the weak acid molecule, H+ represents the hydrogen ion, and A- represents the conjugate base of the weak acid.

The equilibrium constant for this reaction, called the acid dissociation constant (Ka), is defined as:

Ka = [H+][A-]/[HA]

where [H+], [A-], and [HA] represent the molar concentrations of the hydrogen ion, the conjugate base, and the weak acid, respectively.

The degree of dissociation (α) is related to Ka and the initial concentration of the weak acid ([HA]) by the following equation:

α = [H+]/[HA] = Ka / ([HA] + Ka)

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