JEE Main & Advanced AIEEE Solved Paper-2002

  • question_answer
    pH of \[0.005\] M calcium acetate (\[P{{K}_{a}}\] of \[C{{H}_{3}}COOH=4.74\]) is   AIEEE  Solved  Paper-2002

    A) \[7.04\]   

    B)                           \[9.37\]                   

    C) \[9.26\]                   

    D)           \[8.37\]   

    Correct Answer: D

    Solution :

    0.005 M calcium acetate \[(C{{H}_{3}}{{(COO)}_{2}}Ca\] \[\underset{0.005\,\,M}{\mathop{{{(C{{H}_{3}}COO)}_{2}}Ca}}\,\xrightarrow{{}}C{{a}^{2+}}+\underset{(2\times 0.005=0.01)}{\mathop{2C{{H}_{3}}CO{{O}^{-}}}}\,\]              \[\therefore \]     \[[C{{H}_{3}}CO{{O}^{-}}]=0.01\,M\]              \[C{{H}_{3}}CO{{O}^{-}}{{H}_{2}}O\overset{{}}{leftrightarrows}C{{H}_{3}}COOH+\underset{\text{Alkaline}}{\mathop{O{{H}^{-}}}}\,\]              \[pH=7+\frac{p{{K}_{a}}}{2}+\frac{\log C}{2}\]              \[=7+2.37+\frac{\log 0.0.1}{2}\]              \[=7+2.37-1\]              \[=8.37\]


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