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WBJEE · Chemistry · Ionic Equilibrium

A saturated solution of \(\mathrm{BaSO}_{4}\) at \(25^{\circ} \mathrm{C}\) is \(4 \times 10^{-5} \mathrm{M}\). The solubility of \(\mathrm{BaSO}_{4}\) in \(0.1 \mathrm{M} \mathrm{Na}_{2} \mathrm{SO}_{4}\) at this temperature will be

  1. A \(1.6 \times 10^{-9} \mathrm{M}\)
  2. B \(1.6 \times 10^{-8} \mathrm{M}\)
  3. C \(4 \times 10^{-6} \mathrm{M}\)
  4. D \(4 \times 10^{-4} \mathrm{M}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(4 \times 10^{-4} \mathrm{M}\)

Step-by-step Solution

Detailed explanation

\(\begin{array}{r} \mathrm{BaSO}_{4} \rightleftharpoons \mathrm{Ba}^{2+}+\mathrm{SO}_{4}^{2-} \\ \mathrm{s} \quad \mathrm{s}+0.1 \\ \mathrm{Na}_{2} \mathrm{SO}_{4} \rightarrow 2 \mathrm{Na}^{+}+\mathrm{SO}_{4}^{2-} \\ 0.2 \quad 0.1 \end{array}\)…