JEE Main & Advanced Chemistry Equilibrium / साम्यावस्था Sample Paper Topic Test - Chemical Equilibrium

  • question_answer
    A mixture of nitrogen and hydrogen in the ratio of 1 : 3 reach equilibrium with ammonia when 50% of the mixture has reacted. If the total pressure is p, the partial pressure of ammonia in the equilibrium mixture was

    A) \[\frac{p}{2}\]

    B) \[\frac{p}{3}\]

    C) \[\frac{p}{4}\]  

    D) \[\frac{p}{6}\]

    Correct Answer: B

    Solution :

    [b] \[{{N}_{2}}+3{{H}_{2}}2\,N{{H}_{3}}\]
    Initially    1       3             0
    At equilibrium     \[\underset{0.5}{\mathop{(1-x)}}\,\]        \[\underset{1.5}{\mathop{(3-3x)}}\,\]\[\underset{1.0}{\mathop{2x}}\,\]      \[(\because \,\,x=0.5)\]
    Mole fraction of \[N{{H}_{3}}=\frac{{{n}_{N{{H}_{3}}}}}{{{n}_{Total}}}=\frac{1}{0.5+1.5+1}=\frac{1}{3}\]
    Thus, partial pressure of \[N{{H}_{3}},\,{{P}_{N{{H}_{3}}}}={{P}_{Total}}\times mole\]
    fraction of \[N{{H}_{3}}=p\times \frac{1}{3}=\frac{p}{3}\] ­


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