CMC Medical CMC-Medical VELLORE Solved Paper-2012

  • question_answer
    50 mL of 0.1 M\[HCl\] and 50 mL of 0.2 M NaOH are mixed. The pH of the resulting solution is

    A)  1.30                                      

    B)  4.2

    C)  12.70                                   

    D)  11.70

    Correct Answer: C

    Solution :

                    \[50\,\,mL\]of \[0.1\,M\,HCl=\frac{0.1\times 50}{1000}=5\times {{10}^{-3}}\] \[50\,\,mL\]of \[0.2\,M\,NaOH=\frac{0.2\times 50}{1000}=10\times {{10}^{-3}}\] Hence, after neutralisation NaOH left. \[=10\times {{10}^{-3}}-5\times {{10}^{-3}}\] \[=5\times {{10}^{-3}}\] Total volume = 100 cc                 The concentration of NaOH            \[=\frac{5\times {{10}^{-3}}\times 1000}{100}=0.05\,M\] \[[O{{H}^{-}}]=0.05\,M=5\times {{10}^{-2}}\,M\] \[pOH=-\,\log \,[O{{H}^{-}}]\]            \[=-\,\log \,[5\times {{10}^{-2}}]\]            \[=1.3010\] \[pH+pOH=14\] \[pH=14-1.3010\]        \[=12.699=12.70\]


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