The student measures the Ba2+ concentration in a saturated aqueous solution of barium fluoride to be 7.38×10-3 M. Based on this data, the solubility product constant for barium fluoride can be determined.
The solubility product constant (Ksp) is a measure of the equilibrium between the dissolved ions and the undissolved solid in a saturated solution. It represents the product of the concentrations of the ions raised to the power of their stoichiometric coefficients in the balanced chemical equation.
In the case of barium fluoride (BaF2), the balanced chemical equation for its dissolution is:
BaF2 (s) ↔ Ba2+ (aq) + 2F- (aq)
According to the equation, the concentration of Ba2+ in the saturated solution is 7.38×10-3 M.
Since the stoichiometric coefficient of Ba2+ is 1 in the equation, the concentration of F- ions will be twice that of Ba2+, which is 2 × 7.38×10-3 M = 1.476×10-2 M.
Therefore, the solubility product constant (Ksp) for barium fluoride can be calculated as the product of the concentrations of Ba2+ and F- ions:
Ksp = [Ba2+] × [F-]2 = (7.38×10-3 M) × (1.476×10-2 M)2 = 1.51×10-5
Hence, the solubility product constant for barium fluoride, based on the given data, is 1.51×10-5.
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