Barium sulfate, BaSO4, is used in medical imaging of the gastrointestinal tract

Question

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 200 mL of a saturated barium sulfate solution, how much toxic Ba2+ ion has the patient consumed?

The solubility product Ksp of BaSO4 is 1.10×1010.

Express your answer to three significant figures and include the appropriate units.

Please help! Please show steps if possible! THANK YOU!!

Explanation / Answer

BaSO4 <=> Ba2+ + SO42-

From reaction stoichiometry, [Ba2+] = [SO42-]

Ksp = [Ba2+][SO42-]

= [Ba2+]2 = 1.1 x 10-10

[Ba2+] = 1.05 x 10-5 M

Moles of Ba2+ consumed = volume x concentration

= 400/1000 x 1.05 x 10-5 = 4.2 x 10-6 mol

Mass of Ba2+ consumed = moles x molar mass

= 4.2 x 10-6 x 137.33 = 5.8 x 10-4 g

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