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JEE Main & Advanced Chemistry Equilibrium / साम्यावस्था Question Bank Kp and Kc Relationship and Characteristics of K

  • question_answer
    Two gaseous equilibria \[S{{O}_{2(g)}}+\frac{1}{2}{{O}_{2(g)}}\] ⇌ \[S{{O}_{3(g)}}\] and \[2S{{O}_{3(g)}}\]⇌\[2S{{O}_{2(g)}}+{{O}_{2(g)}}\] have equilibrium constants \[{{K}_{1}}\] and \[{{K}_{2}}\] respectively at \[298\,K\]. Which of the following relationships between \[{{K}_{1}}\] and \[{{K}_{2}}\] is correct [CPMT 1988; CBSE PMT 1989; MP PET 1993, 95; RPMT 1999; MP PMT 2001]

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

    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 :

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


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