Answer:
a. The buffering range is between 2.74 and 4.74.
b. The ratio of the formate to the formic acid is 10.23.
Step-by-step explanation:
a. For every buffer solution, the optimal effective range is pH = pKa ± 1. Outside this range, the buffer does not work properly.
For the formic acid, the pKa is 3.74, thus the optimal range is between 2.74 and 4.74.
b. The Henderson-Hasselbalch equation is a chemical expression used to calculate the pH of a buffer knowing the ratio of the acid to base, or to calculate the ratio knowing the pH. The expression is:
![pH = pKa + Log ([A^(-)])/([HA])](https://img.qammunity.org/2020/formulas/chemistry/college/h23q38hauy5mr0bhs3cx268nmalx27fufk.png)
where [A^{-}] is the concentration of the conjugate base and [HA] is the concentration of the acid.
For a formic acid/potassium formate solution that has a pH of 4.75 and pka of 3.74:
![pH - pKa =4.75 - 3.74 = 1.01 = Log ([A^(-)])/([HA])](https://img.qammunity.org/2020/formulas/chemistry/college/u46q349h233ws89p8275jy48m8phppb6wv.png)
![([A^(-)])/([HA]) = 10^(1.01) = 10.23](https://img.qammunity.org/2020/formulas/chemistry/college/czt5l1clhjqfgz7pwqprknzc6jh3m53cfo.png)