This is Q36 on the 2018 Chemistry Olympiad:
Calcium fluoride, CaFX2, has a molar solubility of 2.1⋅10−4 molL−1 at pH = 7.00. By what factor does its molar solubility increase in a solution with pH = 3.00? The pKa of HF is 3.17 (source).
Here are my steps:
- Calculate the solubility product of calcium fluoride from the data at pH=7.
- Combine the dissolution and the acid/base reaction to CaFX2(s)+2HX+−⇀↽−CaX2+(aq)+2HF(aq)
- Calculate the equilibrium constant of the combined reaction from the known constants of the separate reactions.
- Calculate the equilibrium concentration of CaX2+ at pH = 3.00
- Calculate the molar solubility and compared it to the one given for ph = 7.
The arithmetic is shown on the picture, resulting in a CaX2+ concentration of 4.325⋅10−4 molL−1.
I don't understand what I did wrong as the answer is B, 1.83.
Basically I combined the equilibrium of CaFX2 dissociating and the equilibrium of the formation of HF. I then using the equilibrium product found out the concentration of CaX2+. It would be great if you could show me where I went wrong.
No comments:
Post a Comment