A) \[8\times {{10}^{-12}}M\]
B) \[8\times {{10}^{-11}}M\]
C) \[8\times {{10}^{-10}}M\]
D) \[8\times {{10}^{-13}}M\]
Correct Answer: C
Solution :
| As \[AgN{{O}_{3}}\]dissociates completely, therefore in \[0.1\text{ }M\text{ }AgN{{O}_{3}}\] solution, \[[A{{g}^{+}}]=0.1\,M\] |
| \[AgN{{O}_{3}}\xrightarrow{{}}\underset{0.1}{\mathop{A{{g}^{+}}}}\,+\underset{0.1}{\mathop{NO_{3}^{-}}}\,\] |
| \[A{{g}_{2}}C{{O}_{3}}\underset{0.1+2s}{\mathop{2A{{g}^{+}}}}\,+\underset{s}{\mathop{CO_{3}^{-}}}\,\] |
| \[{{K}_{sp}}={{[A{{g}^{+}}]}^{2}}[CO_{3}^{2-}]\] |
| \[=8\times {{10}^{-12}}={{(0.1+2s)}^{2}}\times s\] |
| \[=0.01s=8\times {{10}^{-12}};\] \[(0.1+2s\approx 0.1)\] |
| \[s=8\times {{10}^{-10}}M\] |
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