Calculate the molar solubility of BaSO4. (Ksp = 1.1 x 10-10)1.05 x 10-5M2.69 x 10-4M2.14 x 10-4M1.33 x 10-6M
Question
Calculate the molar solubility of BaSO4. (Ksp = 1.1 x 10^-10)
- 1.05 x 10^-5 M
- 2.69 x 10^-4 M
- 2.14 x 10^-4 M
- 1.33 x 10^-6 M
Solution
The molar solubility of BaSO4 can be calculated using the Ksp (solubility product constant). The dissolution of BaSO4 in water can be represented by the following equation:
BaSO4(s) ⇌ Ba2+(aq) + SO42-(aq)
From this equation, we can see that for every mole of BaSO4 that dissolves, one mole of Ba2+ and one mole of SO42- are produced. Therefore, if we let x represent the molar solubility of BaSO4, then the concentrations of Ba2+ and SO42- in the solution at equilibrium are both x.
The Ksp expression for this reaction is:
Ksp = [Ba2+][SO42-] = x * x = x^2
We can solve this equation for x (the molar solubility of BaSO4) by taking the square root of both sides:
x = sqrt(Ksp) = sqrt(1.1 x 10^-10) = 1.05 x 10^-5 M
So, the molar solubility of BaSO4 is 1.05 x 10^-5 M.
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