MGIMS WARDHA MGIMS WARDHA Solved Paper-2013

  • question_answer
    If the equilibrium constant of the reaction of weak acid HA with strong base is\[{{10}^{9}},\]then pH of 0.1 M NaA is

    A)  5                            

    B)  9      

    C)  7                                            

    D)  8

    Correct Answer: B

    Solution :

                    \[HA+O{{H}^{-}}{{H}_{2}}O+{{A}^{-}}\] \[K=\frac{[{{A}^{-}}]}{[HA]O{{H}^{-}}]}\]                 \[HA{{H}^{+}}+{{A}^{-}}\]                 \[{{K}_{a}}=\frac{[{{H}^{+}}][{{A}^{-}}]}{[HA]}\]                 \[\frac{{{K}_{a}}}{K}=[{{H}^{+}}][O{{H}^{-}}]={{K}_{w}}\] Or           \[{{K}_{a}}={{K}_{2}}K={{10}^{-14}}\times {{10}^{9}}={{10}^{-5}}\]                 \[p{{K}_{a}}=5\] \[{{A}^{-}}\]solution is alkaline due to hydrolysis \[\therefore \]\[pH=7+\frac{p{{k}_{a}}}{2}+\frac{\log C}{2}=2+\frac{5}{2}+\frac{\log 0.1}{2}=9\]


You need to login to perform this action.
You will be redirected in 3 sec spinner