Final answer:
The pKb of the formate ion can be calculated using the formula pKw = pKa + pKb. Given the Ka of formic acid, we can substitute it into the formula to find the pKb of the formate ion. The pKb is approximately 10.75.
Step-by-step explanation:
The pKb of the formate ion can be calculated from the Ka of formic acid using the equation pKw = pKa + pKb, where pKw is the negative logarithm of the ion product constant of water (1 × 10^-14 at 25°C). Since we know the Ka of formic acid is 1.8 × 10⁻⁴, we can calculate the pKb of the formate ion:
pKw = pKa + pKb
1 × 10^-14 = -log(1.8 × 10⁻⁴) + pKb
pKb = -log(1 × 10^-14) - (-log(1.8 × 10⁻⁴))
pKb ≈ 10.75