Find the concentration of the HCl solution when mixed with 1.265g of ACES-K+
Let us call the potassium salt "A-" and its corresponding acid for "HA".
The total volume of the final solution is 88.42 + 27.59 = 116.01 ml.
The final concentration of [HA] + [A-] = 1.265/(220.29 *0.11601) = 0.049499 (M).
[K+] = [HA] + [A-] = 0.049499 (M).

The equilibrium equation gives:
6.54 = 6.85 + log ([A-]/[HA]) => [A-]/[HA] = 0.48977 => [A-] = 0.48977 * [HA].
=> [HA] + 0.48977 * [HA] = 0.049499 => [HA] = 0.03322 (M) and [A-] = 0.016279 (M).

The charge balance is:
[H3O+] + [K+] = [OH-] + [Cl-] + [A-]
At pH = 6,54 [H3O+] = 10^-6.54 and [OH-] can be neglected in comparison with [A-].
=> [Cl-] = [H3O+] + [K+] - [A-] = 0.03322 (M).

The amount of chloride ions in the final solution will be 0.03322 * 0.11601 = 0.003853 mole. Thus, the concentration of the hydrochloric acid used will be:
(0.003853 * 1000) /27.59 = 0.1396 or about 0.140 M.