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Determine the solubility of Ag​​​​​2 ​​​SO​​​​​4 ​​​​​​. Calculate molarities of individual ions and also the solubilities of salts in gL​​​​​-1. (K​​​​​​Sp = 1.4 x 10-5) BOOK SOLUTION K​​​​​​sp = [Ag+]2 [SO​​​​​4​2-] = (2S)2 (S) = 22 x 1 x S​​​​​​3 M​​​​​​3 = 4S3M3 (I) S = 1.52 x 10-2 mol L​​​​​​-1 MY PROBLEM In my book in theory portion it is given a headline as ' RELATION BETWEEN K​​​​​​SP AND MOLAR SOLUBILITY OF A SPARINGLY SOLUBLE SALT' Type of Salt : M​​​​​​x​​​​​X​y Relation : K​​​​​​sp = x​​​​​​x y​​​​​​y.(S)x+y If we apply this rule to above problem then we will get 22 x 44(S)2+4 K​​​​​​sp = 1024(S)6 ​​​​​​See, this 'book rule' is working on every problem except this case. NOTE: I am understanding book Solution but I want to know that when I am using the rule why it is not making correct sense.

Answer» Determine the solubility of Ag​​​​​2 ​​​SO​​​​​4 ​​​​​​. Calculate molarities of individual ions and also the solubilities of salts in gL​​​​​-1.
(K​​​​​​Sp = 1.4 x 10-5)
BOOK SOLUTION
K​​​​​​sp = [Ag+]2 [SO​​​​​4​2-]
= (2S)2 (S) = 22 x 1 x S​​​​​​3 M​​​​​​3 = 4S3M3
(I) S = 1.52 x 10-2 mol L​​​​​​-1
MY PROBLEM
In my book in theory portion it is given a headline as ' RELATION BETWEEN K​​​​​​SP AND MOLAR SOLUBILITY OF A SPARINGLY SOLUBLE SALT'
Type of Salt : M​​​​​​x​​​​​X​y
Relation : K​​​​​​sp = x​​​​​​x y​​​​​​y.(S)x+y
If we apply this rule to above problem then we will get 22 x 44(S)2+4
K​​​​​​sp = 1024(S)6
​​​​​​
See, this 'book rule' is working on every problem except this case.
NOTE: I am understanding book Solution but I want to know that when I am using the rule why it is not making correct sense.


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