Final answer:
The Kb of CN⁻ at 25°C can be calculated by using the ionization constant (Ka) for HCN and the ionization constant of water (Kw). Following the equation Ka x Kb = Kw, substituting the values we can find the Kb of CN⁻ to be approximately 2.04 x 10⁻⁵.
Step-by-step explanation:
The ionization constant of HCN is given as 4.9 × 10-10 in Appendix H. To find the ionization constant for the conjugate base, CN-, we can use the relationship between Ka and Kb:
Ka x Kb = Kw, where Kw is the ionization constant of water (1.0 x 10-14).
Plugging in the given Ka value for HCN, we can solve for Kb:
Ka x Kb = Kw,
4.9 x 10-10 x Kb = 1.0 x 10-14,
Kb = (1.0 x 10-14) / (4.9 x 10-10),
Kb = 2.04 x 10-5.
So, the Kb of CN- at 25°C is approximately 2.04 x 10-5 (option b).