The molar solubility is related to KSP in the following way:
,
where x and y are the number of cations and anions to which the iodide dissociate, respectively. Therefore, the molar solubilities of AgI, PbI2 and BiI3 in water are:
AgI: x=1, y=1, M,
PbI2: x=1, y=2, M,
BiI3: x=1, y=3, M.
The list of these three compounds in order of decreasing (from highest to lowest) molar solubility in water is:
PbI2>BiI3>AgI.
In 0.10 M NaI, a common ion is present: I-. The concentration of sodium iodide must be taken in account:
, or (as all x=1) :
and the molar solubility equals [Me]. Solving the equation above for each KSP, we obtain:
AgI: y=1: [Me]<<0.1, [Me] = 8.3·10-16 M
PbI2: y=2: [Me]<<0.1, [Me] = 7.1·10-7 M
BiI3: y=3: [Me]<<0.1, [Me] =8.1·10-16 M.
Therefore, the list of these three compounds in order of decreasing (from highest to lowest) molar solubility in 0.10 M NaI is:
PbI2>AgI<BiI3.
Answer: water: PbI2>BiI3>AgI; 0.10 M NaI: PbI2>AgI<BiI3.
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