Final answer:
The equilibrium constant, Kc, for the reaction AgI (s) + 2 CN- (aq) <=> [Ag(CN)2]- (aq) + I- (aq) can be calculated using the solubility product constant (Ksp) for AgI and the formation constant (Kf) for [Ag(CN)2]-.
Step-by-step explanation:
The equilibrium constant, Kc, for the reaction AgI (s) + 2 CN- (aq) <=> [Ag(CN)2]- (aq) + I- (aq) can be calculated using the solubility product constant (Ksp) for AgI and the formation constant (Kf) for [Ag(CN)2]-.
- First, we write the expression for Ksp for AgI, which is equal to the product of the concentrations of Ag+ and I-. Ksp = [Ag+][I-].
- Next, we write the expression for Kf for [Ag(CN)2]-, which is equal to the product of the concentrations of Ag+ and CN- squared. Kf = [Ag+][CN-]2.
- Finally, we multiply Ksp and Kf to calculate Kc, the equilibrium constant for the reaction. Kc = Ksp * Kf.
Using the given values for Ksp (8.52 x 10-17) and Kf (1.0 x 1021), we can substitute these values into the equation to calculate Kc.