JEE Main & Advanced Chemistry Equilibrium / साम्यावस्था Question Bank Law of equilibrium and Equilibrium constant

  • question_answer
    Two moles of \[N{{H}_{3}}\] when put into a previously evacuated vessel (one litre), partially dissociate into \[{{N}_{2}}\] and \[{{H}_{2}}\]. If at equilibrium one mole of NH3 is present, the equilibrium constant is                                            [MP PET 2003]

    A)                 3/4 \[mo{{l}^{2}}\,litr{{e}^{-2}}\]             

    B)                 27/64 \[mo{{l}^{2}}\,litr{{e}^{-2}}\]

    C)                 27/32 \[mo{{l}^{2}}\,litr{{e}^{-2}}\]         

    D)                 27/1 \[mo{{l}^{2}}\,litr{{e}^{-2}}\]

    Correct Answer: D

    Solution :

                    \[_{\underset{at.equil.}{\mathop{{{_{{}}}_{_{initial}}}}}\,}\underset{\begin{smallmatrix}  2 \\  1 \end{smallmatrix}}{\mathop{2N{{H}_{3}}}}\,\] ⇌\[\underset{\begin{smallmatrix}  0 \\  1 \end{smallmatrix}}{\mathop{{{N}_{2}}}}\,+\underset{\begin{smallmatrix}  0 \\  3 \end{smallmatrix}}{\mathop{3{{H}_{2}}}}\,\]; \[K\frac{[{{N}_{2}}]{{[{{H}_{2}}]}^{3}}}{{{[N{{H}_{3}}]}^{2}}}=\frac{1\times {{3}^{3}}}{1}=27\]


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