generic salt, AB3, has a molar mass of 333 g/mol and a solubility of 2.30 g/L at 25 °C. What is the Ksp of this salt at 25 °C?
oooo DrBob getting savage haha
2.30 g/L = 2.30/333 mols/L = approx 0.007 M but this is an estimate.
..........AB3 ==> A^3+ + 3B^-
I........solid.......0......0
C........solid...0.007...3*0.007
E........solid...0.007....0.021
Ksp = (A^3+)(B^-)^3
Ksp = (0.007)(0.021)^3 = ?
Check my work.
IT doesn't tell me anything. WHAT is incorrect? What number did you get? If you used my numbers I'm not surprised it (the answer you obtained) is incorrect. Did you read where I said it was approximate? Did you work it out from the beginning. Probably not.
To determine the Ksp (solubility product constant) of a salt, you need to know the concentration of the ions in solution when the salt is fully dissolved. In this case, the generic salt AB3 dissociates into one molecule of A+ and three molecules of B-.
Given:
- Molar mass of the salt (AB3) = 333 g/mol
- Solubility of the salt = 2.30 g/L
Step 1: Calculate the molar solubility.
Molar solubility (S) is the number of moles of the salt dissolved in one liter of solution.
To calculate the molar solubility, divide the solubility (in g/L) by the molar mass (in g/mol):
S = solubility / molar mass
In this case:
S = 2.30 g/L / 333 g/mol
Step 2: Calculate the concentration of ions in solution.
Since AB3 dissociates into A+ and B- ions in a 1:3 ratio, the concentration of A+ ions will be equal to the molar solubility (S), and the concentration of B- ions will be three times the molar solubility.
Concentration of A+ ions = S (in mol/L)
Concentration of B- ions = 3S (in mol/L)
Step 3: Use these concentrations to calculate Ksp.
Ksp is the product of the concentrations of the ions raised to their stoichiometric coefficients.
Ksp = [A+] * [B-]^3
In this case:
Ksp = (S) * (3S)^3
Ksp = S * 27S^3
Ksp = 27S^4
Step 4: Substitute the value of S into the equation to calculate Ksp.
Using the value of S calculated in Step 1, substitute it into the equation for Ksp:
Ksp = 27 * (S)^4
Now, you can plug in the value of S to calculate Ksp.
Please note that I cannot provide the exact value of Ksp without the specific solubility given for AB3.