AFMC AFMC Solved Paper-2007

  • question_answer
    By adding 20 mL 0.1 N HCl to 20 mL 0.001 N KOH, the pH of the obtained solution will be

    A) 2                                             

    B) 1.3

    C) 0                                             

    D) 7

    Correct Answer: B

    Solution :

    \[\text{20 mL}\] of \[0.1\text{ }N\text{ }HCl=\frac{0.1}{1000}\times 20\,g\,eq\] \[=2\times {{10}^{-3}}g\,eq\]                 \[\text{20 mL}\]of \[0.001\,KOH=\frac{0.001}{1000}\times 20\,g\,eq\]                                                 \[=2\times {{10}^{-5}}g\,eq\]                 \[\therefore \] HCl left unneutralised                                 \[=2({{10}^{-3}}-{{10}^{-5}})\] \[=2\times {{10}^{-3}}(1-0.01)\] \[=2\times 0.99\times {{10}^{-3}}=1.98\times {{10}^{-3}}g\,eq.\] Volume of solution = 40 mL \[\therefore \]     \[[HCl]=\frac{1.98\times {{10}^{-3}}}{40}\times 1000\,\text{M}\] \[=4.95\times {{10}^{-2}}\]                 \[\therefore \]  \[pH=2-\log 4.95\]                                 \[=2-0.7=1.3\]


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