Question

# Barium sulfate, BaSO4, is used in medical imaging of the gastrointestinal tract because it is opaque...

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 1.10×10−10.

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

Ksp = [Ba2+][SO42-]

1.1*10^-10=(s)*(s)

1.1*10^-10= 1(s)^2

s = 1.049*10^-5 M

This is molarity of BaSO4 saturated solution.

volume , V = 200 mL

= 0.2 L

use:

number of mol,

n = Molarity * Volume

= 1.049*10^-5*0.2

= 2.098*10^-6 mol

Mol of Ba2+ = mol of BaSO4

= 2.098*10^-6 mol

Molar mass of Ba = 137.3 g/mol

use:

mass of Ba2+,

m = number of mol * molar mass

= 2.098*10^-6 mol * 137.3 g/mol

= 2.881*10^-4 g

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