A BaSO \(_{4}\) slurry is ingested before the gastrointestinal tract is x-rayed
because it is opaque to x-rays and defines the contours of the tract.
\(\mathrm{Ba}^{2+}\) ion is toxic, but the compound is nearly insoluble. If
\(\Delta G^{\circ}\) at \(37^{\circ} \mathrm{C}\) (body temperature) is \(59.1
\mathrm{~kJ} / \mathrm{mol}\) for the dissolution,
$$
\mathrm{BaSO}_{4}(s) \rightleftharpoons \mathrm{Ba}^{2+}(a
q)+\mathrm{SO}_{4}^{2-}(a q)
$$
what is \(\left[\mathrm{Ba}^{2+}\right]\) in the intestinal tract? (Assume that
the only source of \(\mathrm{SO}_{4}^{2-}\) is the ingested slurry.