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JIPMER Jipmer Medical Solved Paper-2014

  • question_answer
    For the reaction, \[{{N}_{2}}(g)+{{O}_{2}}(g)\rightleftharpoons 2NO(g),\] the equilibrium constant is\[{{K}_{1}}.\]The equilibrium constant is\[{{K}_{2}}\]for the reaction, \[2NO(g)+{{O}_{2}}(g)\rightleftharpoons 2N{{O}_{2}}(g).\] What is K for the reaction, \[N{{O}_{2}}(g)\rightleftharpoons \frac{1}{2}{{N}_{2}}(g)+{{O}_{2}}(g)?\]

    A)  \[\frac{1}{(4\,{{K}_{1}}{{K}_{2}})}\]                        

    B)     \[{{\left[ \frac{1}{{{K}_{1}}{{K}_{2}}} \right]}^{1/2}}\]                    

    C)     \[\frac{1}{({{K}_{1}}{{K}_{2}})}\]                            

    D)     \[\frac{1}{(2{{K}_{1}}{{K}_{2}})}\]

    Correct Answer: B

    Solution :

    \[\frac{1}{2}{{N}_{2}}(g)+\frac{1}{2}{{O}_{2}}(g)\rightleftharpoons NO(g)\Rightarrow \sqrt{{{K}_{1}}}\] and,     \[NO(g)+\frac{1}{2}{{O}_{2}}(g)\rightleftharpoons N{{O}_{2}}(g)\Rightarrow \sqrt{{{K}_{2}}}\] ______________________________ \[\frac{1}{2}{{N}_{2}}(g)+{{O}_{2}}(g)\rightleftharpoons N{{O}_{2}}(g)\Rightarrow \sqrt{{{K}_{1}}{{K}_{2}}}\] so,       \[N{{O}_{2}}(g)\rightleftharpoons \frac{1}{2}{{N}_{2}}(g)+{{O}_{2}}(g)\Rightarrow \frac{1}{\sqrt{{{K}_{1}}{{K}_{2}}}}\]


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