Question

A saturated solution prepared by dissolving $ A{{g}_{2}}C{{O}_{3}} $ in water has $ [A{{g}^{+}}]=2.56\times {{10}^{-4}}M. $ Hence, its $ {{K}_{sp}} $ is

• A. $ 8.4\times {{10}^{-12}} $
• B. $ 1.68\times {{10}^{-13}} $
• C. $ 6.6\times {{10}^{-8}} $
• D. $ 1.6\times {{10}^{-2}} $

Answer 1

Answer: (A)

$ A{{g}_{2}}C{{O}_{3}}\rightleftharpoons 2A{{g}^{+}}+CO_{3}^{2-} $ $ [A{{g}^{+}}]=2.56\times {{.0}^{-4}}M $ $ [CO_{3}^{2-}]=\frac{[A{{g}^{+}}]}{2}=1.28\times {{10}^{-4}}M $ $ {{K}_{sp}}={{[A{{g}^{+}}]}^{2}}[CO_{3}^{2-}] $ $ ={{(2.56\,\times \,{{10}^{-4}})}^{2}}(128\times {{10}^{-4}}) $ $ =8.4\times {{10}^{-12}} $