Answer
a. 7.023 × 10⁻³
Explanation
Given:
Initial [HF] = 0.2000 M
[H⁺] = 3.8184 x10⁻² M
The dissociate of HF will give:
[tex]HF\rightarrow H^++F^-[/tex]Therefore the dissociation constant of HF is:
[tex]K_c=\frac{[H^+][F^-]}{[HF]}[/tex]Putting [H⁺] = [F⁻] = 3.8184 x10⁻² M and [HF] = 0.2000 M
[tex]\begin{gathered} K_c=\frac{3.8184\times10^{-2}\times3.8184\times10^{-2}}{0.2000} \\ \\ K_c=7.023\times10^{-3} \end{gathered}[/tex]