A) \[s={{({{K}_{sp}}/128)}^{1/4}}\]
B) \[s={{(128{{K}_{sp}})}^{1/4}}\]
C) \[s={{(256{{K}_{sp}})}^{1/5}}\]
D) \[s={{({{K}_{sp}}/256)}^{1/5}}\]
Correct Answer: D
Solution :
For the solute, \[{{A}_{x}}{{B}_{y}}xA+yB\] \[{{K}_{ap}}={{x}^{x}}{{y}^{y}}{{(s)}^{x+y}}\] \[M{{X}_{4}}{{M}^{4+}}+4{{X}^{-}}\] \[x=1,y=4\] \[\therefore \]\[{{K}_{sp}}={{(4)}^{4}}{{(1)}^{1}}{{(s)}^{5}}=256{{s}^{5}}\] \[\therefore \] \[s={{\left( \frac{{{K}_{sp}}}{256} \right)}^{1/5}}\]
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