CET Karnataka Medical CET - Karnataka Medical Solved Paper-2011

  • question_answer
    Consider the following gaseous equilibria with equilibrium constants \[{{K}_{1}}\] and \[{{K}_{2}}\] respectively, \[S{{O}_{2}}(g)+\frac{1}{2}{{O}_{2}}(g)S{{O}_{3}}(g)\] \[2S{{O}_{3}}(g)2S{{O}_{2}}(g)+{{O}_{2}}(g)\] The equilibrium constants are related as

    A)  \[2{{K}_{1}}=K_{2}^{2}\]       

    B)  \[K_{1}^{2}=\frac{1}{{{K}_{2}}}\]

    C)  \[K_{2}^{2}=\frac{1}{{{K}_{1}}}\]

    D)  \[{{K}_{2}}=\frac{2}{K_{1}^{2}}\]

    Correct Answer: B

    Solution :

    \[S{{O}_{2}}(g)+\frac{1}{2}{{O}_{2}}(g)S{{O}_{3}}(g)\]      ?..(i) \[{{K}_{1}}\] Equation (i) is reversed and multiplied by 2 \[2S{{O}_{3}}(g)2S{{O}_{2}}(g)+{{O}_{2}}(g)\]      (i) \[\frac{1}{K_{1}^{2}}\] \[2S{{O}_{3}}(g)2S{{O}_{2}}(g0+{{O}_{2}}(g)\]     (ii) \[{{K}_{2}}\] \[\therefore \] \[{{K}_{2}}=\frac{1}{K_{1}^{2}}\] \[K_{1}^{2}=\frac{1}{{{K}_{2}}}\]


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