- Hydrolysis problems deal with the salts of weak acids and weak bases. A salt may be defined as the product of an acid and a base. The cation of the salt always comes from the base and the anion always comes from the acid (keep the vowels and consonants together). Not all salts are neutral . Some salts will hydrolyze in water and produce either acidic or basic solutions. Let's see how this may occur. The salt, NaCl, will form a neutral solution--no hydrolysis occurs.

Since the sodium ion came from NaOH, a strong base, this ion is a weak conjugate acid and will not hydrolyze. It will float around in solution as a spectator ion. Likewise, the chloride ion came from HCl, a strong acid. That makes the chloride ion a weak conjugate base and it will not hydrolyze. It also will float around in solution as a spectator ion. As a result, the only hydronium ions present in solution are due to the autoionization of water, and the solution will be neutral in pH.
- Next, let us consider the salt, sodium acetate, whose concentration is 0.10 M:

The cation, sodium ion, came from a strong base, NaOH, and as discussed above, will not hydrolyze. However, the anion, acetate ion, came from a weak acid, acetic acid. Acetate ion is therefore a strong conjugate base and will hydrolyze. This means it will behave as a Lowry-Bronsted base, and accept a proton from water, as shown in the equilibrium below:
C2H3O2- + H2O = HC2H3O2 + OH-
Notice that hydroxide ion is generated and the salt solution will be alkaline in pH. To calculate the pH of the solution we need to know the initial concentration of the acetate ion (which will be given) and the value of the equilibrium constant, Kb (sometimes labeled as Kh, for hydrolysis constant). The equilibrium constant may be calculated from the Kw of water and the Ka of the weak acid from which the conjugate base forms:

- Recall the concentration of the sodium acetate solution was given as 0.10 M. The acetate ion concentration is also 0.10 M since every mole of sodium acetate contains 1 mole of acetate ions. One can proceed to solve for the pH as we have done for other equilibrium problems. Begin by showing the equilibrium and the initial concentrations of species present:

According to LeChatlier's Principle, the reaction will shift to the right to establish equilibrium since there is no acetic acid or hydroxide yet present. This means an x amount of acetate ion will be consumed and an x amount of both acetic acid an hydroxide ion will be formed, as shown in the table below:

Sum the initial concentrations and the change in concentrations to find the amounts present at equilibrium:

These quantities may by substituted into the mass action expression:

- The x quantity shown in bold in the denominator may be neglected since the difference in magnitude between the initial concentration of acetate ion (10-2) and the equilibrium constant (10-10) is 108. This simplifies the above expression to:

Multiplying both sides of the equation by the denominator, 0.10, yields:
x2 = 5.6 x 10-11
To find x, take the square root of both sides of the equation:
x = 7.5 x 10-6 = [OH-]
Notice that x corresponds to the hydroxide ion concentration. Now that the hydroxide ion concentration is known, the pH may be found by first calculating the pOH:
pOH = -log[OH-] = -log(7.5 x 10-6) = 5.12
The pH may now be found by subtracting the pOH from 14.00:
pH = 14.00 - pOH = 14.00 - 5.12 = 8.88
As shown by the equilibrium, the solution is alkaline.
- Suppose one had a 0.10 M solution of NH4Cl. What would be the pH of this solution? First consider if any hydrolysis will take place.

The chloride anion is the weak conjugate base of a strong acid (HCl) and will not hydrolyze. The ammonium cation, however, is the strong conjugate acid of a weak base (NH3) and will hydrolyze--it will act as a Lowry-Bronsted acid and donate a proton to water:
NH4+ + H2O = NH3 + H3O+
Since hydronium ion is being generated, this solution will be acidic in pH. To calculate the pH of this solution, we need to know the initial concentration of the salt (which will be given), and the equilibrium constant. The equilibrium constant will be calculated in a similar manner as for alkaline salts, using the Kw of water in the Kb of the base from which the conjugate acid formed:

Using an initial concentration of salt to be 0.10 M, set up a table of initial concentrations, change in concentrations and equilibrium concentrations:

We are assuming that before equilibrium is established, no ammonia or hydronium ion has been produced. In order to establish equilibrium, an x amount of ammonium ion will be lost to form an x amount of ammonia and hydronium ion. This follows LeChatlier's Principle--the reaction will shift to the right to establish equilibrium. The change in concentrations is shown below:

Sum the initial concentrations and change in concentrations to find the concentrations present at equilibrium:

Use the equilibrium concentrations in the mass action expression:

The x amount shown in bold may be neglected since the difference in magnitude between the initial concentration (10-2) and the equilibrium constant (10-10) is 108. This simplifies the above expression to:

Multiplying both sides of the equation by the denominator, 0.10, yields:
x2 = 5.6 x 10-11
Solve for x by taking the square root of both sides of the equation:
x = [H3O+] = 7.5 x 10-6
Notice that x is also the hydronium ion concentration. To find the pH take the negative log of the hydronium ion concentration:
pH = -log[H3O+] = -log(7.5 x 10-6) = 5.12
As shown by the equilibrium, the solution is acidic.


