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Multiple Choice
Determine the minimum concentration of NaF required to cause precipitation of BaF₂ from a 4.0×10⁻² M Ba(NO₃)₂ solution, given that the Ksp of BaF₂ is 1.7×10⁻⁶.
A
1.0×10⁻³ M
B
3.5×10⁻³ M
C
4.0×10⁻³ M
D
2.1×10⁻³ M
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1
Identify the dissolution equation for BaF₂: BaF₂(s) ⇌ Ba²⁺(aq) + 2F⁻(aq).
Write the expression for the solubility product constant (Ksp) of BaF₂: Ksp = [Ba²⁺][F⁻]².
Substitute the given Ksp value into the expression: 1.7×10⁻⁶ = [Ba²⁺][F⁻]².
Since the concentration of Ba²⁺ is given as 4.0×10⁻² M from Ba(NO₃)₂, substitute this into the Ksp expression: 1.7×10⁻⁶ = (4.0×10⁻²)[F⁻]².
Solve for [F⁻] by rearranging the equation: [F⁻] = √(1.7×10⁻⁶ / 4.0×10⁻²). This will give the minimum concentration of F⁻ required to cause precipitation.