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Multiple Choice
Determine the molar solubility of Ag2CrO4 in a solution containing 0.153 M AgNO3. The Ksp for Ag2CrO4 is 2.0 × 10^-12.
A
7.5 × 10^-6 M
B
2.0 × 10^-12 M
C
3.9 × 10^-8 M
D
1.3 × 10^-10 M
Verified step by step guidance
1
Start by writing the balanced dissolution equation for Ag2CrO4: .
Express the solubility product constant (Ksp) for Ag2CrO4 in terms of the concentrations of the ions: , where s is the molar solubility of Ag2CrO4.
Since the solution already contains 0.153 M AgNO3, the concentration of Ag+ ions from AgNO3 is 0.153 M. Therefore, the total concentration of Ag+ ions is .
Substitute the known Ksp value into the expression: .
Solve the equation for s, which represents the molar solubility of Ag2CrO4 in the solution containing 0.153 M AgNO3. This involves algebraic manipulation and potentially using the quadratic formula if necessary.