Final answer:
The acid-dissociation constant (Ka) for the conjugate ion of an unknown base with a base-dissociation constant (Kb) of 1.4 x 10^-9 can be calculated using the equation Ka × Kb = 1.0 × 10^-14. Solving for Ka, we find it to be 7.1 x 10^-6.
Step-by-step explanation:
The base-dissociation constant (Kb) for an unknown base is given as 1.4 x 10-9. We can calculate the acid-dissociation constant (Ka) for the conjugate ion using the relationship Ka × Kb = 1.0 × 10-14. Substituting the given value of Kb, we have Ka × 1.4 x 10-9 = 1.0 × 10-14. Solving for Ka, we find Ka = 7.1 x 10-6. Therefore, the acid-dissociation constant, Ka, for the conjugate ion is option C) 7.1 x 10-6.