Manipal Medical Manipal Medical Solved Paper-2014

  • question_answer
    Determine the pH of a 0.05 M aqueous solution of ammonium sulphate, \[{{k}_{b}}\]of ammonia is\[2\times {{10}^{-5}}\]?

    A) 4.30                                          

    B) 5.15

    C) 7.0                                            

    D) 8.75

    Correct Answer: B

    Solution :

    The hydrolysis reaction is \[NH_{4}^{+}+{{H}_{2}}O\rightleftharpoons N{{H}_{4}}OH+{{H}^{+}}\] \[{{k}_{h}}=\frac{[N{{H}_{4}}OH][{{H}^{+}}]}{[NH_{4}^{+}]}=\frac{{{K}_{w}}}{{{K}_{b}}}=5\times {{10}^{-10}}\] \[5\times {{10}^{-10}}=\frac{{{[{{H}^{+}}]}^{2}}}{c}\{\therefore [N{{H}_{4}}OH]=[{{H}^{-}}]\}\] \[[{{H}^{+}}]=\sqrt{5\times {{10}^{-10}}\times 2\times 0.05}\] \[[{{H}^{+}}]=7\times {{10}^{-6}}\Rightarrow pH=5.15\]


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