Final answer:
The solubility product constant, Ksp, for K2S, given the equilibrium concentrations of K+ and S2-, is calculated to be 0.0570752 M3.
Step-by-step explanation:
To calculate the Ksp (solubility product constant) for K2S, we need to consider the dissolution reaction and its corresponding equilibrium constant expression. K2S dissociates in water to form two K+ ions and one S2- ion. The equilibrium expression for the solubility product constant, Ksp, is given by:
Ksp = [K+]2[S2-]
Substituting the provided equilibrium concentrations:
Ksp = (0.56 M)2(0.182 M)
After performing the calculations:
Ksp = (0.3136)(0.182) = 0.0570752 M3
So, the solubility product constant for K2S at the given concentrations is 0.0570752 M3.