JEE Main & Advanced Chemistry Chemical Kinetics / रासायनिक बलगतिकी Sample Paper Topic Test - Chemical Kinetics

  • question_answer
    In the reversible reaction,
    \[2N{{O}_{2}}{{N}_{2}}{{O}_{4}}\]
    the rate of disappearance of \[N{{O}_{2}}\] is equal to

    A) \[\frac{2{{k}_{1}}}{{{k}_{2}}}\,{{[N{{O}_{2}}]}^{2}}\]                   

    B) \[2{{k}_{1}}\,{{[N{{O}_{2}}]}^{2}}-2{{k}_{2}}\,[{{N}_{2}}{{O}_{4}}]\]

    C) \[2{{k}_{1}}{{[N{{O}_{2}}]}^{2}}-{{k}_{2}}[{{N}_{2}}{{O}_{4}}]\]

    D) \[(2{{k}_{1}}-{{k}_{2}})\,[N{{O}_{2}}]\]

    Correct Answer: B

    Solution :

    \[2N{{O}_{2}}\underset{{{k}_{2}}}{\overset{{{k}_{1}}}{\mathop{\rightleftharpoons }}}\,{{N}_{2}}{{O}_{4}}\]
    Rate      \[=\frac{1}{2}\frac{d[N{{O}_{2}}]}{2dt}\]
    \[={{k}_{1}}{{[N{{O}_{2}}]}^{2-}}-{{k}_{2}}[{{N}_{2}}{{O}_{4}}]\]
    \[\therefore \]      Rate of disappearance of
    \[N{{O}_{2}}=-\frac{d[N{{O}_{2}}]}{dt}\]
    \[=2{{k}_{1}}{{[N{{O}_{2}}]}^{2}}-2{{k}_{2}}[{{N}_{2}}{{O}_{4}}]\]


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