Salts have varying solubilities in solvents such as water. Some salts dissolve w

Question

Salts have varying solubilities in solvents such as water. Some salts dissolve well in water, whereas others are nearly insoluble. The solubility product Ksp is the equilibrium constant for the dissolution of a solid salt into water, and its magnitude is an indicator of the solubility of the salt.

Barium sulfate, BaSO4, is used in medical imaging of the gastrointestinal tract because it is opaque to X rays. A barium sulfate solution, sometimes called a cocktail, is ingested by the patient, whose stomach and intestines can then be visualized via X-ray imaging. If a patient ingests 280mL of a saturated barium sulfate solution, how much toxic Ba2+ ion has the patient consumed?

The solubility product Ksp of BaSO4 is 1.1

Explanation / Answer

For a compound like BaSO4

………BaSO4……….. …….....Ba+2……………+…………..SO4-2

Ksp = s * s = s2, we know that for ksp for BaSO4 is 1.1 x 10-10

1.1 x 10-10 = s2, s is the molar solubility

s = 1.05 x 10-5 mol / L

this is the concentration of Ba+2, if we have 280 ml then

280 ml is 0.28 L

moles of Ba2+ = s * V = 1.05 x 10-5 mol / L * 0.28 L = 2.936 x 10-6 moles of Ba+2

mass of Ba will be = moles * molar mass

molar mass of Ba is 137.27 g/gmol

mass = 137.27 * 2.936 x 10-6 = 4.03 x 10-4 grams

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