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Question

Which of the following options are correct for solubility and solubility product of
CO2[Fe(CN)6] in water at 25. Conductivity of a saturated solution of CO2[Fe(CN)6] is 2.06×106 Ω1 cm1 and that of water used is 4.1×107 Ω1cm1.
The ionic molar conductivities of Co2+ and Fe(CN)46 are 86.0 Ω1cm2mol1and 444.0 Ω1cm2mol1, respectively.

A
Ksp=7.69×1017
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B
Ksp=7.6872×1014
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C
Solubility =2.6×106mol/L
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D
Solubility =2.6×105mol/L
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Solution

The correct options are
A Ksp=7.69×1017
C Solubility =2.6×106mol/L
Molar conductivityλm=κ×1000M=[KsolnKw]×1000M
Since the complex is dissociating, we can consider solubility and molarity are equal.
By substituting the given values we get,
86×2+444=(2.06×1064.1×107)×1000s
s=2.6×106mol/L
Solubility product =4s3
=4×(2.6×106)3
=Ksp=7.69×1017

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