Zinc carbonate, ZnCO3(s), dissolves in water to give a solution that is 1.7 multiplied by 10-5 M at 22°C. Calculate Ksp for ZnCO3(s) at this temperature.
Set up an ICE chart, substitute into the Ksp expression and solve for Ksp.
ZnCO3 ==> Zn^2+ + CO3^2-
..x.......0.........0
..........x..........x
Ksp = (Zn^2+)(CO3^2-)
You know solubility ZnCO3. That is x.
Ksp= 2.9×10^-10
To calculate the solubility product constant (Ksp) for ZnCO3(s), you need to determine the concentration of zinc ions (Zn2+) and carbonate ions (CO32-) in the solution using the given solubility.
The balanced equation for the dissolution of ZnCO3(s) in water is:
ZnCO3(s) ⇌ Zn2+(aq) + CO32-(aq)
From the given information, the concentration of Zn2+ ions is equal to the solubility of ZnCO3:
[Zn2+] = 1.7 × 10^(-5) M
Since ZnCO3 dissociates to produce one Zn2+ ion and one CO32- ion, the concentration of CO32- is also equal to 1.7 × 10^(-5) M.
Now, to calculate the Ksp, you can use the equation:
Ksp = [Zn2+][CO32-]
Substituting the values:
Ksp = (1.7 × 10^(-5)) × (1.7 × 10^(-5))
Ksp = 2.89 × 10^(-10)
Therefore, the solubility product constant (Ksp) for ZnCO3(s) at 22°C is 2.89 × 10^(-10).
To calculate the solubility product constant (Ksp) for zinc carbonate (ZnCO3) at 22°C, we need to understand the dissociation reaction of ZnCO3 in water:
ZnCO3(s) ⇌ Zn2+(aq) + CO3 2-(aq)
The Ksp expression for this reaction is:
Ksp = [Zn2+][CO3 2-]
We are given the concentration of Zn2+ in the solution, which is calculated as 1.7 x 10^-5 M. However, we do not have the concentration of CO3 2- directly.
To determine the concentration of CO3 2-, we need to make use of the stoichiometry of the reaction. From the balanced equation, we can see that the stoichiometric ratio between Zn2+ and CO3 2- is 1:1.
Therefore, at equilibrium, the concentration of CO3 2- is also 1.7 x 10^-5 M.
Now we can substitute the concentrations into the Ksp expression:
Ksp = [Zn2+][CO3 2-] = (1.7 x 10^-5 M)(1.7 x 10^-5 M) = 2.89 x 10^-10
Therefore, the solubility product constant (Ksp) for zinc carbonate (ZnCO3) at 22°C is 2.89 x 10^-10.