KVPY Sample Paper KVPY Stream-SX Model Paper-7

  • question_answer
    Determine pH of a 0.01 M aqueous solution of \[Cl{{C}_{6}}{{H}_{4}}N{{H}_{3}}Cl\].
    \[[{{K}_{b}}(Cl{{C}_{6}}{{H}_{4}}N{{H}_{3}})=4\times {{10}^{-13}}\],  \[\log 19=1.3,\,\,log2=0.3,\,\,\sqrt{16.25}=4.02]\]

    A) 2.1                               

    B)  2.5              

    C) 3.5                               

    D) 3.1

    Correct Answer: A

    Solution :

    \[{{K}_{h}}=\frac{{{10}^{-14}}}{4\times {{10}^{-13}}}\]
    \[{{K}_{h}}=\frac{C{{\alpha }^{2}}}{(1-\alpha )}=0.025\Rightarrow \frac{0.01{{\alpha }^{2}}}{1-\alpha }=0.025.\]
    \[\Rightarrow {{\alpha }^{2}}+2.5\alpha -2.5=0\]
    \[\Rightarrow \]   \[\alpha =0.76\]
    \[[{{H}^{+}}]=7.6\times {{10}^{-3}}\Rightarrow pH=-\log [{{H}^{+}}]=2.1\]


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