KVPY Sample Paper KVPY Stream-SX Model Paper-28

  • question_answer
    1 mol of \[{{N}_{2}}\] and 4 mol of \[{{H}_{2}}\] are allowed to react in a vessel and after reaction, \[{{H}_{2}}O\] is added. Aqueous solution required 1 mol of HCl for neutralization. Mol fraction of \[{{H}_{2}}\] in the remaining gaseous mixture after reaction is - #1

    A) \[\frac{1}{6}\]

    B) \[\frac{5}{6}\]   

    C) \[\frac{1}{3}\]

    D) none of these

    Correct Answer: D

    Solution :

    \[\underset{1}{\mathop{{{N}_{2}}}}\,+\underset{4}{\mathop{3{{H}_{2}}}}\,\xrightarrow{{}}\underset{0}{\mathop{2N{{H}_{3}}}}\,\]
    \[N{{H}_{3}}+{{H}_{2}}O\xrightarrow{{}}N{{H}_{4}}OH\]
    \[\underset{1\,\,\,mole}{\mathop{N{{H}_{4}}OH+HCl}}\,\xrightarrow{{}}\underset{1\,\,mole}{\mathop{N{{H}_{4}}Cl+{{H}_{2}}O}}\,\]
    So \[N{{H}_{3}}\]formed is 1 mole
    \[{{N}_{2}}+3{{H}_{2}}\xrightarrow{{}}2N{{H}_{3}}\]
    \[\left( 1-\frac{1}{2} \right)\,\,\,\left( 4-\frac{3}{2} \right)\,\,\,\,\,\,\,\,\,(1)\]
    \[\begin{matrix}    \frac{1}{2}, & \frac{5}{2} & 1  \\ \end{matrix}\]


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