suppose you made a buffer solution that was 0.050M in both HC2H3O2 and NaC2H3O2.Would the pH changes resulting from the addition of 0.1 M HCL solution to this buffer solution be the same as those you observed in experiment?

How can we answer this without knowing what you did in the experiment and the results?

To determine whether the pH changes resulting from the addition of 0.1 M HCl solution to the buffer solution would be the same as those observed in the experiment, we need to consider the properties of a buffer solution.

A buffer solution is able to resist changes in pH when small amounts of an acid or a base are added to it. Buffer capacity depends on the concentration of the components in the buffer and their relative amounts.

In this case, the buffer solution consists of HC2H3O2 (acetic acid) and NaC2H3O2 (sodium acetate), both at a concentration of 0.050 M. HC2H3O2 is a weak acid, and NaC2H3O2 is its conjugate base.

When a strong acid such as HCl is added to the buffer solution, it reacts with the weak acid component (HC2H3O2) to form its conjugate base (C2H3O2-). The reaction can be represented as follows:

HC2H3O2 + HCl -> C2H3O2- + H2O

The presence of the conjugate base helps in reducing any changes in the pH. This occurs because the conjugate base (C2H3O2-) can react with H+ ions from the strong acid, preventing a significant increase in the concentration of H+ ions in the solution.

Therefore, the addition of HCl to this buffer solution would indeed result in a change in pH, but the change would not be as significant as that observed if the same HCl solution was added to pure water. The buffer solution would effectively resist large changes in pH due to the buffering capacity provided by the weak acid and its conjugate base.

However, it is worth noting that the extent of pH change would depend on the relative amounts and concentrations of the weak acid and its conjugate base in the buffer solution, as well as the concentration of the added HCl solution.

To determine the specific pH changes resulting from the addition of 0.1 M HCl solution to this buffer solution, you would need to calculate the pH using the Henderson-Hasselbalch equation. The Henderson-Hasselbalch equation is:

pH = pKa + log([A-]/[HA])

Where pKa is the negative logarithm of the acid dissociation constant (Ka), [A-] is the concentration of the conjugate base, and [HA] is the concentration of the weak acid.

By substituting the values of [A-] and [HA] from the given concentrations, and knowing the pKa value of acetic acid, you can calculate the pH change resulting from the addition of 0.1 M HCl solution to the buffer solution.