JEE Main & Advanced Sample Paper JEE Main Sample Paper-25

  • question_answer
    Two weak acids HA and HB with \[{{K}_{{{a}_{1}}}}\] and \[{{K}_{{{a}_{2}}}}\] as their dissociation constants are mixed to have equal concentration. Which of the following is incorrect, it \[{{K}_{{{a}_{1}}}}>{{K}_{{{a}_{2}}}}\]?

    A)  \[[{{H}^{+}}]\] from \[HA>[{{H}^{+}}]\] form HB

    B)  \[HA\,\alpha >\alpha \] of HB

    C)  \[[A-]>[{{B}^{-}}]\]               

    D)  \[[HA]>[HB]\]

    Correct Answer: D

    Solution :

    \[HA\rightleftharpoons {{H}^{+}}+{{A}^{-}}\,\,\,\,\,\,\,\,\,\,{{K}_{{{a}_{1}}}}\] \[HA\rightleftharpoons {{H}^{+}}+{{A}^{-}}\,\,\,\,\,\,\,\,\,\,{{K}_{{{a}_{2}}}}\] \[\alpha =\sqrt{\frac{{{K}_{a}}}{C}}\] \[\frac{{{\alpha }_{1}}}{{{\alpha }_{2}}}\,=\sqrt{\frac{{{K}_{{{a}_{1}}}}}{{{K}_{{{a}_{2}}}}}}\] as \[{{K}_{{{a}_{1}}}}>{{K}_{{{a}_{2}}}};\,\,{{\alpha }_{1}}>{{\alpha }_{2}}\] So, \[[HA]<[HB]\]


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