The generic metal hydroxide M(OHhas Kp 3510-18 (NOTE: In this particular problem

Question

The generic metal hydroxide M(OHhas Kp 3510-18 (NOTE: In this particular problem, because of the magnitude of the Kip and the stoichiometry of the compound, the contribution of OH from water can be ignored. However, this may not always be the case.) Part A What is the solubility of M(OH)2 in pure water? Express your answer with the appropriate units. 9.14 10-7 M Submit Hints My Answers Give Up Review Part Correct Solubility represents the concentration of the solid that dissociated to form the saturated solution. The saturated solution exists in equilibrium with the excess solid. Part B What is the solubility of M(OH)2 in a 0.202 M solution of M(NO3)2? What is the solubility of MO), in a 0202.M solution of M(NO..2 Express your answer with the appropriate units. alue Units

Explanation / Answer

Let x = mol/L of M(OH)2 that dissolve : this will give x mol/L M2+ and 2x mol/L OH-

Ksp = 3.05 x 10^-18 =(x) (2x)^2 = 4x^3
molar solubility = 9.14 x 10^-7 M

B ) in this case [M2+]= x + 0.202

3.05 x 10^-18 = ( x + 0.202)(2x)^2 {X<<0.202 use appr.}

3.05 x 10^-18= (0.202)(2x)^2 = 0.808 x^2
x = molar solubility = 1.94 x 10^-9 M

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