CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2009

  • question_answer
    In acid medium Zn reduces nitrate ion to\[NH_{4}^{+}\] ion according to the reaction\[Zn+NO_{3}^{-}\to Z{{n}^{2+}}\]\[+NH_{4}^{+}+{{H}_{2}}O\](unbalanced) How many moles of\[HCl\]are required to reduce half a mole of\[NaN{{O}_{3}}\] completely? Assume the availability of sufficient\[Zn\]

    A) 5                                             

    B) 4

    C) 3                             

    D)        2

    E) 1

    Correct Answer: A

    Solution :

    First the given unbalanced equation is balanced by using following steps Step I. The equation is splitted into two half equations as                 \[Zn\xrightarrow[{}]{{}}Z{{n}^{2+}};\] \[NO_{3}^{-}\xrightarrow{{}}NH_{4}^{+}\] Step II. Now water molecules are added to the side deficient in oxygen and \[{{H}^{+}}\] are added to the side deficient in hydrogen as \[Zn\xrightarrow{{}}Z{{n}^{2+}};NO_{3}^{-}+10{{H}^{+}}\xrightarrow{{}}NH_{4}^{+}+3{{H}_{2}}O\] Step III. The number of electrons are balanced and the two half equations are added. \[[Zn\xrightarrow{\,}\,Z{{n}^{2+}}\,+2{{e}^{-}}]\,\times 4;\] \[NO_{3}^{-}+10{{H}^{+}}+8{{e}^{-}}\xrightarrow{{}}NH_{4}^{+}+3{{H}_{2}}O\] \[4Zn\xrightarrow{{}}4Z{{n}^{2+}}+8{{e}^{-}}\] \[\therefore \]\[4Zn+NO_{3}^{-}+10{{H}^{+}}\xrightarrow{{}}4Z{{n}^{2+}}+NH_{4}^{+}\] \[+3{{H}_{2}}O\](Net equation) or \[4Zn+No_{3}^{-}+10HCl\xrightarrow{{}}4Z{{n}^{2+}}+NH_{4}^{+}\] \[+5C{{l}_{2}}+3{{H}_{2}}O\] \[\because \]1 mole of\[NO_{3}^{-}\](or \[NaN{{O}_{3}}\])is reduced by = 10 moles of\[HCl\] \[\therefore \]\[\frac{1}{2}\]mole of\[NO_{3}^{-}\]will be reduced by \[=10\times \frac{1}{2}moles\text{ }of\text{ }HCl\] = 5 moles of\[HCl\]


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