Answer:
Option (b) Hydrocyanic acid, 4.9×10^-10
Step-by-step explanation:
Data obtained from the question include:
Ka of Hydrofluoric acid = 3.5×10^-4
Ka of Hydrocyanic acid = 4.9×10^-10
Ka of Nitrous acid = 4.6×10^-4
To know which acid is least acidic, we shall determine the the pKa value for each acid.
This is illustrated below:
For Hydrofluoric acid
Ka = 3.5×10^-4
pKa =..?
pKa = –Log Ka
pKa = –Log 3.5×10^-4
pKa = 3.5
For Hydrocyanic acid
Ka = 4.9×10^-10
pKa =..?
pKa = –Log Ka
pKa = –Log 4.9×10^-10
pKa = 9.3
For Nitrous acid
Ka = 4.6×10^-4
pKa =..?
pKa = –Log Ka
pKa = –Log 4.6×10^-4
pKa = 3.3
Summary:
Acid >>>>>>>>>>>>> Ka >>>>>>>> pKa
Hydrofluoric acid >> 3.5×10^-4 >> 3.5
Hydrocyanic acid >> 4.9×10^-10 > 9.3
Nitrous acid >>>>>>> 4.6×10^-4 >> 3.3
NB: The smaller the pKa value, the more acidic the compound is and the larger the pKa value, the less acidic the compound will be.
From the above calculations, Hydrocyanic acid has the highest pKa value.
Therefore, Hydrocyanic acid is the least acidic compound