calculate the solubility of SrSO4 in
A: pure water
B: 0.045 M Sr(NO3)2
C: 0.05 M NaCl
D: 0.016 M ZnCl2
To calculate the solubility of SrSO4 in various solutions, you need to apply the concept of solubility product constant (Ksp). The Ksp is the equilibrium constant for the dissolution of a sparingly soluble salt, like SrSO4, into its constituent ions in a saturated solution.
The solubility of SrSO4 can be determined using the following equation:
SrSO4(s) ⇌ Sr2+(aq) + SO4 2-(aq)
The Ksp expression for SrSO4 is: Ksp = [Sr2+][SO4 2-]
Now, let's calculate the solubility of SrSO4 in each of the given solutions:
A: Pure water
When SrSO4 is added to pure water, it dissociates into Sr2+ and SO4 2- ions. Since pure water does not contain any common ions or counterions, we can assume that the initial concentrations of the ions are both zero. Hence, the solubility of SrSO4 in pure water would be equal to the concentration of Sr2+ or SO4 2- ions in the saturated solution.
B: 0.045 M Sr(NO3)2
In this case, the solution already contains Sr2+ ions from Sr(NO3)2. The initial concentration of Sr2+ ions will be 0.045 M, while the initial concentration of SO4 2- ions will be zero (since it does not come from Sr(NO3)2). Therefore, the solubility of SrSO4 will be equal to the initial concentration of SO4 2- ions.
C: 0.05 M NaCl
Since NaCl does not contain Sr2+ or SO4 2- ions, the initial concentrations of these ions will be zero. Thus, the solubility of SrSO4 in this solution will also be equal to the concentration of SO4 2- ions.
D: 0.016 M ZnCl2
Similar to the previous cases, the initial concentrations of Sr2+ and SO4 2- ions will be zero since they do not come from ZnCl2. Therefore, the solubility of SrSO4 in this solution will also be equal to the concentration of SO4 2- ions.
To summarize:
A: pure water - solubility of SrSO4 = [Sr2+]
B: 0.045 M Sr(NO3)2 - solubility of SrSO4 = [SO4 2-]
C: 0.05 M NaCl - solubility of SrSO4 = [SO4 2-]
D: 0.016 M ZnCl2 - solubility of SrSO4 = [SO4 2-]
Note: The values in square brackets denote the concentration of the respective ions in the saturated solution.