JEE Main & Advanced Chemistry Equilibrium / साम्यावस्था Question Bank Self Evaluation Test - Equilibrium

  • question_answer
    At \[527{}^\circ C\], the reaction given below has \[{{K}_{c}}=4\] \[N{{H}_{3}}(g)\rightleftharpoons \frac{1}{2}{{N}_{2}}(g)+\frac{3}{2}{{H}_{2}}(g)\] What is the \[{{K}_{p}}\] for the reaction? \[{{N}_{2}}(g)+3{{H}_{2}}(g)\rightleftharpoons 2N{{H}_{3}}(g)\]

    A) \[16\times {{(800R)}^{2}}\]                  

    B) \[{{\left( \frac{800R}{4} \right)}^{-2}}\]

    C) \[{{\left( \frac{1}{4\times 800R} \right)}^{2}}\]              

    D) None of these

    Correct Answer: C

    Solution :

    [c] If, \[{{K}_{c}}=\frac{{{[{{N}_{2}}]}^{1/2}}{{[{{H}_{2}}]}^{3/2}}}{{{[N{{H}_{3}}]}^{1}}}=4\] Then, \[\frac{{{[N{{H}_{3}}]}^{2}}}{{{\left[ [{{N}_{2}}][{{H}_{2}}] \right]}^{3}}}={{(4)}^{-2}}=\frac{1}{16}\] also \[{{K}_{p}}={{K}_{c}}\cdot {{(RT)}^{\Delta {{n}_{g}}}}\] \[=\frac{1}{16}\times {{(800R)}^{-2}}={{\left( \frac{1}{4\times 800R} \right)}^{2}}\]


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