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NEET Sample Paper NEET Sample Test Paper-72

  • question_answer
    Two gaseous equilibria \[S{{O}_{2}}(g)+\frac{1}{2}\,{{O}_{2}}(g)\rightleftharpoons S{{O}_{3}}(g)\] and \[2S{{O}_{3}}(g)\rightleftharpoons 2S{{O}_{2}}(g)+{{O}_{2}}(g)\] have equilibrium constants \[{{K}_{1}}\,and\,\,{{K}_{\text{2}}}\] respectively at 298 K. Which of the following relationships between \[{{K}_{1}}\,and\,\,{{K}_{\text{2}}}\] is correct?

    A) \[{{K}_{1}}\,=\,\,{{K}_{\text{2}}}\]                 

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

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

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

    Correct Answer: C

    Solution :

    \[{{K}_{1}}=\frac{\left[ S{{O}_{3}} \right]}{\left[ S{{O}_{2}} \right]\,\,{{\left[ {{O}_{2}} \right]}^{1/2}}}\] and \[{{K}_{2}}=\frac{{{\left[ S{{O}_{2}} \right]}^{2}}\,\left[ {{O}_{2}} \right]}{{{\left[ S{{O}_{3}} \right]}^{2}}\,\,}\] \[{{K}_{2}}=\frac{1}{K_{1}^{2}}\]


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