KVPY Sample Paper KVPY Stream-SX Model Paper-2

  • question_answer
    \[28g\,{{N}^{2}}\] and \[6.0\]g of \[{{H}_{2}}\] are heated over catalyst in a closed one litre flask of \[450{}^\circ \]C. the entire equilibrium mixture required 500 ml of 1.0 \[M\,{{H}_{2}}S{{O}_{4}}\] for neutralization. The value of \[{{K}_{c}}\] for the reaction \[{{N}_{2}}(g)+3{{H}_{2}}(g)2N{{H}_{3}}(g)\,is\]

    A) \[0.06\,mo{{l}^{-2}}{{L}^{-2}}\]       

    B) \[0.59\,mo{{l}^{-2}}{{L}^{-2}}\]

    C) \[1.69\,\,mo{{l}^{2}}{{L}^{-2}}\]                  

    D) \[0.03\,mo{{l}^{2}}{{L}^{-2}}\]

    Correct Answer: B

    Solution :

    [b]
    Moles of \[{{N}_{2}}=\frac{28}{28}=1,\]
    Moles of \[{{H}_{2}}=\frac{6}{2}=3\]
    Moles of \[{{H}_{2}}S{{O}_{4}}\]required=\[\frac{500\times 1}{1000}=0.5\]
    Moles of \[N{{H}_{3}}\]neutralized by \[{{H}_{2}}S{{O}_{4}}=1.0\]\[\left( 2N{{H}_{3}}+{{H}_{2}}S{{O}_{4}}\xrightarrow{{}}{{\left( N{{H}_{4}} \right)}_{2}}S{{O}_{4}} \right)\]
    Hence, 1 mole of \[N{{H}_{3}}\]by the reaction between\[{{N}_{2}}\]and\[{{H}_{2}}\].
                            \[{{N}_{2}}+3H2\,N{{H}_{3}}\]
    \[\begin{align}   & \operatorname{initial}\,cine.130 \\  & at\,quilibrium\,1-0.5\,3-0.5\times 3\,\,\,1 \\  & cine. \\ \end{align}\]
    \[{{K}_{e}}=\frac{1\times 1}{0.5\times {{(0.5)}^{3}}}=0.592\,\,mo{{1}^{-2}}-{{L}^{2}}\]


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