What would be the pH of an ammonia solution if the pH of acetic acid solution of same strength i

step 1 Hello everyone so in this question we have to find out the pH of a phoomone solution if the pH o

What would be the pH of an ammonia solution if the pH of...

What would be the $\mathrm{pH}$ of an ammonia solution if the $\mathrm{pH}$ of acetic acid solution of same strength is $3.2$ ? The dissociation constants of ammonia and acetic acid are
same.
(a) $3.2$
(b) $3.8$
(c) $10.2$
(d) $10.8$

Key Concepts

Acid-Base Equilibrium

Weak acids and weak bases only partially dissociate in water, establishing an equilibrium between the undissociated species and the ions formed. The degree of dissociation is quantified by the acid dissociation constant (Ka) for acids and the base dissociation constant (Kb) for bases. This equilibrium concept is central to predicting and calculating the pH or pOH of weak acid or base solutions.

Conjugate Acid-Base Pairs and the Relationship between Ka and Kb

For a conjugate acid-base pair in water, the acid dissociation constant (Ka) of the acid and the base dissociation constant (Kb) of its conjugate base are related by the water dissociation constant (Kw), such that pKa + pKb = 14. Understanding this relationship allows one to compare the strengths of weak acids and their conjugate bases, and vice versa.

pH and pOH Relationship

In aqueous solutions at 25°C, the pH and pOH of a solution are related by the equation pH + pOH = 14. This relationship is fundamental in acid-base chemistry because it allows conversion between measures of acidity (pH) and basicity (pOH), which is essential when analyzing the properties of different solutions.

Comparative Analysis of Weak Acid and Weak Base Solutions

When comparing solutions of a weak acid and a weak base that have identical dissociation constants, the pH of the weak acid solution and the pH of the corresponding weak base solution will be complementary with regard to the water ionization equilibrium. That is, if a weak acid solution has a given pH, then the pH of the weak base solution is determined by subtracting from 14, reflecting the inverse nature of acid-base behavior in such paired systems.

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