RAJASTHAN PMT Rajasthan - PMT Solved Paper-2000

  • question_answer
    The equilibrium constants for equilibria: \[S{{O}_{2}}(g)+\frac{1}{2}{{O}_{2}}(g)S{{O}_{3}}(g)\] and \[2S{{O}_{2}}(g)+{{O}_{2}}(g)2S{{O}_{3}}(g)\] are \[{{K}_{1}}\] and \[{{K}_{2}}\] respectively, then:

    A)  \[{{K}_{2}}={{K}_{1}}^{2}\]

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

    C)  \[{{K}_{2}}={{K}_{1}}\]

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

    Correct Answer: A

    Solution :

    \[S{{O}_{2}}+\frac{1}{2}{{O}_{2}}S{{O}_{3}}\] \[{{K}_{1}}=\frac{[S{{O}_{3}}]}{[S{{O}_{2}}]{{[{{O}_{2}}]}^{1/2}}}\] \[2S{{O}_{2}}+{{O}_{2}}2S{{O}_{3}}\] \[{{K}_{2}}=\frac{{{[S{{O}_{3}}]}^{2}}}{{{[S{{O}_{2}}]}^{2}}[{{O}_{2}}]}\] So that       \[{{K}_{2}}={{K}_{1}}^{2}\]


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