J & K CET Medical J & K - CET Medical Solved Paper-2004

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


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