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JEE Main & Advanced Chemistry Equilibrium / साम्यावस्था Question Bank Kp and Kc Relationship and Characteristics of K

  • question_answer
    If equilibrium constant for reaction \[2AB\]⇌\[{{A}_{2}}+{{B}_{2}}\], is 49, then the equilibrium constant for reaction AB ⇌ \[\frac{1}{2}{{A}_{2}}+\frac{1}{2}{{B}_{2}}\], will be [EAMCET 1998; MP PMT 2003]

    A)                 7             

    B)                         20

    C)                 49          

    D)                 21

    Correct Answer: A

    Solution :

               \[2AB\]⇌ \[{{A}_{2}}+{{B}_{2}}\]                    \[{{K}_{c}}=\frac{[{{A}_{2}}]\,\,[{{B}_{2}}]}{{{[AB]}^{2}}}\]            For reaction \[AB\] ⇌ \[\frac{1}{2}{{A}_{2}}+\frac{1}{2}{{B}_{2}}\]                                 \[{{K}_{c}}^{'}=\frac{{{[{{A}_{2}}]}^{{1}/{2}\;}}{{[{{B}_{2}}]}^{{1}/{2}\;}}}{[AB]}\];  \[{{K}_{c}}^{'}=\sqrt{{{K}_{c}}}=\sqrt{49}=7\].


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