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

  • question_answer
    The value of \[{{K}_{C}}\] for the reaction \[{{N}_{2}}(g)+3{{H}_{2}}(g)\rightleftharpoons 2N{{H}_{3}}(g)\] is 0.50 at \[{{400}^{o}}C\]. What will be the value of \[{{K}_{p}}\] at  \[{{400}^{o}}C\] when concentrations are expressed in mol \[{{L}^{-1}}\] and pressure in atmosphere?

    A) \[2\times {{10}^{-4}}\]

    B) \[2.80\times {{10}^{-6}}\]

    C) \[2.80\times {{10}^{-4}}\]        

    D) \[2.\times {{10}^{-6}}\]

    Correct Answer: A

    Solution :

    [a] Applying the relationship
    \[{{K}_{P}}={{K}_{C}}{{\left( RT \right)}^{\Delta n}}g\]
    \[{{\text{K}}_{\text{C}}}\text{=0}\text{.50;R=0}\text{.082 L atm }{{\text{K}}^{\text{-1}}}\text{mo}{{\text{l}}^{\text{-1}}}\]
    \[T=\left( 400+273 \right)=673;\Delta ng=\left( 2-4 \right)=-2\]
    \[\therefore \]      \[{{K}_{P}}=0.5{{\left( 0.082\times 673 \right)}^{-2}}\]
    \[=0.5{{\left( 55.186 \right)}^{-2}}=2\times {{10}^{-4}}\]


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