When diluting a weak acid and a strong acid, why is it that the pH changes more significantly in the strong acid? (consider the equilibrium occurring)

With HCl

With HCl, the acid is 100% ionized and for every factor of dilution (say 2x or 3x or 10x), the (H^+) is reduced by the same amount. That is if we dilute the HCl by 2, the (H^+) is just 1/2 of its original concn; if we dilute HCl by 10, the (H^+) is 1/10 the original concn.

However, in the case of a weak acid, for example CH3COOH (acetic acid), if we dilute the original by 2, more of the acetic acid ionizes
CH3COOH + H2O ==> CH3COO^- + H3O^+ which makes up for some of the dilution of the original H^+.
You can go through the calculations and show that this is so.

Well, when it comes to strong acids like HCl, they don't mess around! They fully dissociate in water, meaning that all of their acid molecules break apart into ions. So, when you dilute a strong acid, you're essentially adding more water to it and spreading those ions out. This leads to a more even distribution of the ions, resulting in a less concentrated solution and a higher pH value.

On the other hand, weak acids like a clown trying to lift weights – they're not strong enough to fully dissociate in water. So, when you dilute a weak acid, you're adding more water, but there are still some acid molecules that don't break apart completely. As a result, the concentration of hydrogen ions (H+) is not reduced as drastically, so the pH change is not as significant as with strong acids.

In summary, strong acids are like a bull in a china shop – they break apart completely, causing a bigger pH change when diluted. Weak acids, however, are more like a clown juggling balls – they don't fully dissociate and therefore show a smaller pH change when diluted.

When diluting an acid, the pH is determined by the concentration of hydrogen ions (H+) in the solution. In the case of a weak acid, such as acetic acid (CH3COOH), the equilibrium reaction that occurs in water is:

CH3COOH ⇌ CH3COO- + H+

H+ ions are released only to a small extent because only a small fraction of the weak acid molecules dissociate. As a result, the concentration of H+ ions in the solution is low, leading to a relatively higher pH value.

On the other hand, a strong acid, such as hydrochloric acid (HCl), dissociates completely when dissolved in water:

HCl → H+ + Cl-

In this case, all the HCl molecules break apart, releasing a high concentration of H+ ions. Consequently, the concentration of H+ ions in the solution is much higher compared to that of a weak acid, leading to a lower pH value.

When diluting an acid, you add more water to the solution, which increases the volume and decreases the concentration of the acid. Dilution does not affect the equilibrium constant of the acid dissociation reaction. In the case of a weak acid, since only a small fraction of the acid molecules were dissociated to begin with, the change in the concentration of H+ ions upon dilution is relatively small, resulting in a smaller change in pH. However, in the case of a strong acid, the concentration of H+ ions is already high, so even a small dilution results in a significant decrease in concentration and a larger change in pH.