# Determine the solubilities of silver chromate, barium chromate, ferric hydroxide, lead chloride and mercurous iodide at 298 K form their solubility pr

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Determine the solubilities of silver chromate, barium chromate, ferric hydroxide, lead chloride and mercurous iodide at 298 K form their solubility product constants given below. Determine also the molarities of individual ions.
K_(SP(Ag_(2)CrO_(4)))=1.1xx10^(-12),
K_(SP(BaCrO_(4)))=1.2xx10^(-10),
K_(SP[Fe(OH)_(3)])=1.0xx10^(-38),
K_(SP(PbCI_(2)))=1.6xx10^(-5),
K_(SP(Hg_(2)I_(2)))=4.5xx10^(-29).

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For Ag_(2)CrO_(4): K_(SP)= 4S^(3)
Ag_(2)CrO_(4)hArr2Ag^(+)+CrO_(4)^(2-)
S=3sqrt((K_(SP))/(4))=3sqrt((1.1xx10^(-12))/(4))
=6.5xx10^(-5)M
[Ag^(+)]=2xx6.5xx10^(-5)
=1.30xx10^(-4)M
[CrO_(4)^(2-)]=6.5xx10^(-5)M
For BaCrO_(4):
BaCrO_(4)hArr underset(S)(Ba^(2+))+underset(S)(CrO_(4)^(2))
K_(SP)=S^(2)
S=sqrt(K_(SP))=sqrt(1.2xx10^(-10))
=1.1xx10^(-5)M
[Ba^(2+)=1.1xx10^(-5)M=[CrP_(4)^(2)]
For Fe(OH)_(3):
Fe(OH)_(3)hArr underset(S)(Fe^(3+))+underset(3S)(3OH^(-))
K_(SP)=27S^(4)
:. S=4sqrt((K_(SP))/(27))=4sqrt((1.0xx10^(-38))/(27))
=1.39xx10^(-10)M
:. [Fe^(3+)]=1.39xx10^(-10)M
[OH^(-)]=1.39xx10^(-10)xx3
=4.17xx10^(-10)M
For PbCI_(2):
PbCI_(2)hArr underset(S)(Pb^(2+))+underset(2S)(2CI^(-))
K_(SP)=4S^(3)
:. S=3sqrt((K_(SP))/4)=3sqrt((1.6xx10^(-5))/(4))
=1.59xx10^(-2)M
[Pb^(2+)]= 1.59xx10^(-2)M
[CI^(-)]=2xx1.59xx10^(-2)
=3.18xx10^(-2)M
For Hg_(2)I_(2): Hg_(2)I_(2)hArrunderset(S)(Hg_(2)^(2+))+underset(2S)(2I^(-))
K_(SP)=4S^(3)
S=3sqrt((K_(SP))/(4))=3sqrt((4.5xx10^(-29))/(4))
=2.24xx10^(-10)M
[Hg_(2)^(2+)]=2.24xx10^(-10)M
[I^(-)]=2xx2.24xx10^(-10)M
=4.48xx10^(-10)M