NCERT Class XI Chemistry Equilibrium Solutions

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Question : 67
Total: 73
Determine the solubilities of silver chromate, barium chromate, ferric hydroxide, lead chloride and mercurous iodide at 298 K from their solubility product constants given in table. Determine also the molarities of individual ions.
Salt Ksp value
Silver chromate1.1 × 1012
Barium chromate 1.2 × 1010
Ferric hydroxide 1.0 × 1038
Lead chloride1.6 × 105
Mercurous iodide 4.5 × 1029

Solution:  
Silver chromate, Ag2CrO4
Ag2CrO4(s)2Ag(aq)++CrO24(aq)
Ksp = 4S3 = 1.1 × 1012 ∴ S = 6.50 × 105 M
[Ag+] = 2 × 6.50 × 105 = 1.30 × 104M and [CrO42–] = 6.50 × 105M
Barium chromate, BaCrO4
BaCrO4(s)Ba(aq)2++CrO24(aq)
Ksp = S2 = 1.2 × 1010 ∴ S = 1.09 × 105M
[Ba2+] = [CrO42] = 1.09 × 105M
Ferric hydroxide, Fe(OH)3
Fe(OH)3(s)Fe(aq)3++3OH(aq)
Ksp = 27S4 = 1.0 × 1038 ∴ S = 1.38 × 1010M
[Fe3+] = 1.38 × 1010M and [OH] = 3 × 1.38 × 1010 = 4.16 × 1010M
Lead chloride, PbCl2
PbCl2(s)Pb(aq)2++2Cl(aq)
Ksp = 4S3 = 1.6 × 105
∴ S = 1.59 × 102M
[Pb2+] = 1.59 × 102M and [Cl] = 2 × 1.59 × 102 = 3.18 × 102M
Mercurous iodide, Hg2I2
Hg2I2(s)Hg2(aq)2++2I(aq)
Ksp = 4S3 = 4.5 × 1029 and S = 2.24 × 1010M
[Hg22+] = 2.24 × 1010M and [I] = 2 × 2.24 × 1010 = 4.48 × 1010M
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