To find the pH of a buffer solution, use the Henderson-Hasselbalch equation and calculate the concentrations of [A¯] and [HA].
In order to find the pH of a buffer solution, we need to use the Henderson-Hasselbalch equation:
pH = pKa + log([A¯]/[HA])
Given that the Ka for HCOOH is 1.8 x 10^-5, we can calculate the pKa as -log(Ka) = -log(1.8 x 10^-5).
Next, we need to calculate the concentrations of [A¯] and [HA] in the buffer solution. We know that 1.00 L of 1.0 M HCl and 750 mL of 1.5 M NaHCOO are added to prepare the buffer. Using the balanced equation for the dissociation of NaHCOO, we can calculate the moles of NaHCOO and the resulting concentrations of [A¯] and [HA]. Finally, substitute these values into the Henderson-Hasselbalch equation to find the pH of the buffer solution.