JEE Main & Advanced AIEEE Solved Paper-2009

  • question_answer
    Solid\[Ba{{(N{{O}_{3}})}_{2}}\]is gradually dissolved in a 1.0 \[\times {{10}^{4}}M\text{ }N{{a}_{2}}C{{O}_{3}}\]solution. At what concentration of\[B{{a}^{2+}}\]will a precipitate being to form? (\[{{K}_{sp}}\]for\[Ba\text{ }C{{O}_{3}}=5.1\times {{10}^{9}}\]):     AIEEE  Solved  Paper-2009

    A) \[4.1\times {{10}^{5}}M\]           

    B) \[5.1\times {{10}^{5}}M\]

    C)        \[8.1\times {{10}^{8}}M\]

    D)        \[8.1\times {{10}^{7}}M\]

    Correct Answer: B

    Solution :

    \[N{{a}_{2}}C{{O}_{3}}\xrightarrow{{}}2N{{a}^{+}}+CO_{3}^{2-}\]\[1\times {{10}^{-4}}M\] \[BaC{{O}_{3}}\xrightarrow{{}}B{{a}^{2+}}+CO_{3}^{2-}\] \[{{K}_{SP}}=[B{{a}^{2+}}][CO_{3}^{2-}]\] \[5.1\times {{10}^{-9}}=[Ba{{~}^{+2}}][1\times {{10}^{-4}}]\] \[[B{{a}^{2+}}]=\frac{5.1\times {{10}^{-9}}}{1\times {{10}^{-4}}}\] \[=5.1\times {{10}^{-5}}M\]


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