Answer:
[tex]pH=3.74[/tex]
Explanation:
Hello,
In this case, by using the Henderson-Hasselbach equation one could compute the pH considering that the pKa of hydrofluoric acid, HF, is 3.14:
[tex]pH=pKa+log(\frac{[base]}{[acid]} )[/tex]
Whereas the concentration of the base and acid are computed by considering the mixing process with a total volume of 300 mL (0.3 L):
[tex]n_{HF}=0.1L*0.05mol/L=0.005molHF\\\\n_{NaF}=0.2L*0.1mol/L=0.02molNaF[/tex]
[tex][HF]=\frac{0.005molHF}{0.3L}=0.017M[/tex]
[tex][NaF]=\frac{0.02molHF}{0.3L}=0.067M[/tex]
Therefore, the pH turns out:
[tex]pH=3.14+log(\frac{0.067M}{0.017M} )\\\\pH=3.74[/tex]
Regards.