Answer:
1.4
Step-by-step explanation:
Let's consider the acid-dissociation of HF.
HF(aq) ⇄ H⁺(aq) + F⁻(aq)
For a weak acid, we can calculate the concentration of H⁺ ([H⁺]) using the following expression.
H⁺ = √(Ka × Ca) = √(7.2 × 10⁻⁴ × 5.45) = 0.063 M
where,
Ka: acid-dissociation constant
Ca: concentration of the acid
The pH is
pH = -log [H⁺] = -log 0.063 = 1.2
When we add a NaF solution, we have a buffer system, formed by a weak acid (HF) and its conjugate base (F⁻ coming from NaF). We can calculate the pH of a buffer using the Henderson-Hasselbalch's equation.
pH = pKa + log ([F⁻]/[HF])
pH = 3.1 + log (1.75M/5.45M) = 2.6
The change in the pH is
ΔpH = 2.6 - 1.2 = 1.4