JEE Main & Advanced AIEEE Solved Paper-2008

  • question_answer
    For the following three reactions a, b, c equilibrium constants are given:
     a. \[CO(g)+{{H}_{2}}O(g)\underset{{}}{\overset{{}}{\longleftrightarrow}}C{{O}_{2}}(g)+{{H}_{2}}(g);{{K}_{1}}\]
     b. \[C{{H}_{4}}(g)+{{H}_{2}}O(g)\underset{{}}{\overset{{}}{\longleftrightarrow}}CO(g)+3{{H}_{2}}(g);{{K}_{2}}\]
     c. \[C{{H}_{4}}(g)+2{{H}_{2}}O(g)\underset{{}}{\overset{{}}{\longleftrightarrow}}C{{O}_{2}}(g)+4{{H}_{2}}(g);{{K}_{3}}\]
     Which of the following relations is correct?
        AIEEE  Solved  Paper-2007

    A) \[{{K}_{3}}={{K}_{1}}{{K}_{2}}\]                

    B) \[{{K}_{3}}\,.\,\,K_{2}^{3}=K_{1}^{2}\]

    C) \[{{K}_{1}}\sqrt{{{K}_{2}}}={{K}_{3}}\]                   

    D) \[{{K}_{2}}{{K}_{3}}={{K}_{1}}\]

    Correct Answer: A

    Solution :

    \[\begin{align}   & CO(g)+{{H}_{2}}O(g)C{{O}_{2}}(g)+{{H}_{2}}(g);{{K}_{1}} \\  & C{{H}_{4}}(g)+{{H}_{2}}O(g)CO(g)+3{{H}_{2}}(g);{{K}_{2}} \\ \end{align}\] \[C{{H}_{4}}(g)+2{{H}_{2}}O(g)C{{O}_{2}}(g)+4{{H}_{2}}(g)\]      \[;{{K}_{3}}={{K}_{1}}\times {{K}_{2}}\]


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