On the chemical theory of $pK_b $
between $pK_a $of acetic acid and ammonium hydroxide, acetic acid is a weak acid, and its $pK_a $value is related to its own dissociation energy. $pK_a $, the negative logarithm of the acid dissociation constant, the smaller this value, the stronger the dissociation ability of the acid, and the greater the tendency to release hydrogen ions in the solution.

Acetic acid in water has the following dissociation equilibrium: $CH_3COOH\ rightleftharpoons CH_3COO ^ - + H ^ + $. If the $pK_a $value is given, it can be known that the degree of dissociation of acetic acid changes under different conditions. If the pH, temperature and other factors of a system are changed, the moving direction of the dissociation equilibrium of acetic acid can be inferred according to the nature of $pK_a $.

And ammonium hydroxide, also known as ammonia monohydrate, is a weak base, and its $pK_b $is the negative logarithm of the alkali dissociation constant. The dissociation of ammonium hydroxide in water is: $NH_3\ cdot H_2O\ rightleftharpoons NH_4 ^ ++ OH ^ - $. The value of $pK_b $reflects the difficulty of ammonium hydroxide releasing hydroxide ions. The smaller the $pK_b $, the stronger the ability of ammonium hydroxide to dissociate hydroxide ions in water.

When discussing the $pK_a $of acetic acid and the $pK_b $of ammonium hydroxide, although one is the characteristic of acid and the other is the characterization of base, they are related to each other in many chemical systems. In the construction of the buffer solution, if a buffer with a specific pH value is to be prepared, acetic acid and its salts can form acidic buffer pairs, and the required proportions are calculated according to $pK_a $; ammonium hydroxide and its salts can form basic buffer pairs, and the ratio is determined according to $pK_b $.

In the acid-base neutralization reaction, the reaction process of acetic acid and ammonium hydroxide is also affected by the two $pK_a $and $pK_b $. The end point of the reaction and the final pH of the solution are closely related to $pK_a $and $pK_b $.

In summary, acetic acid of $pK_a $and ammonium hydroxide of $pK_b $are key parameters in the field of chemistry, whether it is theoretical research or practical application, guiding the exploration and practice of many chemical processes.