JEE Main & Advanced Chemistry Equilibrium / साम्यावस्था Question Bank Self Evaluation Test - Equilibrium

  • question_answer
    Calculate the pH of a solution containing 0.1 M
    \[HCO_{3}^{-}\] and \[0.2\,M\,CO_{3}^{2-}\]
    \[[{{K}_{1}}({{H}_{2}}CO_{3}^{-})=4.2\times {{10}^{-7}}\times 10\]and
    \[{{K}_{2}}(HCO_{3}^{-})=4.8\times {{10}^{-11}}].\]

    A) 3.18                 

    B) 10.62

    C) 6.62                 

    D) 9.31

    Correct Answer: B

    Solution :

    [b] \[HCO_{3}^{-}\to {{H}^{+}}+CO_{3}^{2-}\] \[{{K}_{2}}=\frac{[{{H}^{+}}][CO_{3}^{2-}]}{[HCO_{3}^{-}]}=4.8\times {{10}^{-11}}\] \[=4.8\times {{10}^{-11}}(0.1/0.2)\] \[pH=-\log [{{H}^{+}}]\] \[=-log\left( 4.8\times {{10}^{-11}}\times 0.5 \right)=10.62\]


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