EAMCET Medical EAMCET Medical Solved Paper-2006

  • question_answer
    What is the equation for the equilibrium constant \[({{K}_{c}})\] for the following reaction? \[\frac{1}{2}A(g)+\frac{1}{3}B(g)\overset{T(K)}{\mathop{=}}\,\frac{2}{3}C(g)\]

    A)  \[{{K}_{c}}=\frac{{{[A]}^{1/2}}{{[B]}^{1/3}}}{{{[C]}^{3/2}}}\]      

    B)  \[{{K}_{c}}=\frac{{{[C]}^{3/2}}}{[{{A}^{2}}][{{B}^{3}}]}\]

    C)  \[{{K}_{c}}=\frac{{{[C]}^{2/3}}}{{{[A]}^{1/2}}{{[B]}^{1/3}}}\]      

    D)  \[{{K}_{c}}=\frac{{{[C]}^{2/3}}}{{{[A]}^{1/2}}+{{[B]}^{1/3}}}\]

    Correct Answer: C

    Solution :

                     \[\frac{1}{2}A(g)+\frac{1}{2}B(g)\overset{T(K)}{\mathop{=}}\,\frac{2}{3}C(g)\] Equilibrium constant \[{{\text{K}}_{\text{c}}}\text{=}\frac{\text{Rate}\,\text{of}\,\text{product}}{\text{Rate}\,\text{of}\,\text{reactant}}\] \[{{K}_{c}}=\frac{{{[C]}^{2/3}}}{{{[A]}^{1/2}}{{[B]}^{1/3}}}\]


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