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

  • question_answer
    For the reaction \[2N{{O}_{2(g)}}\]⇌\[2N{{O}_{(g)}}+{{O}_{2(g)}}\],\[{{K}_{c}}=1.8\times {{10}^{-6}}\] at 185°C. At 185°C the Kc for \[N{{O}_{(g)}}\]+ \[\frac{1}{2}{{O}_{2(g)}}\]⇌ \[N{{O}_{2(g)}}\] is [JIPMER 2001]

    A)                 \[1.95\times {{10}^{-3}}\]            

    B)                         \[1.95\times {{10}^{3}}\]

    C)                 \[7.5\times {{10}^{2}}\]

    D)                 \[0.9\times {{10}^{6}}\]

    Correct Answer: C

    Solution :

               \[{{K}_{{{c}_{1}}}}=\frac{{{[NO]}^{2}}[{{O}_{2}}]}{{{[N{{O}_{2}}]}^{2}}}=1.8\times {{10}^{-6}}\]Þ \[{{K}_{{{c}_{2}}}}=\frac{[N{{O}_{2}}]}{[NO]\,\,{{[{{O}_{2}}]}^{{1}/{2}\;}}}\]                 \[{{K}_{{{c}_{1}}}}=\frac{1}{K_{{{c}_{2}}}^{2}}\]; \[1.8\times {{10}^{-6}}=\frac{1}{{{K}_{{{c}_{2}}}}^{2}}\]Þ\[{{K}_{{{c}_{2}}}}=7.5\times {{10}^{2}}\]


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