JEE Main & Advanced Sample Paper JEE Main Sample Paper-28

  • question_answer
    For the reaction,\[{{N}_{2}}(g)+3{{H}_{2}}(g)\underset{{{K}_{2}}}{\overset{{{K}_{1}}}{\longleftrightarrow}}2N{{H}_{3}}(g)\],the rate law for the disappearance of \[N{{H}_{3}}\] is

    A)  \[{{K}_{1}}[{{N}_{2}}]{{[{{H}_{2}}]}^{3}}-{{K}_{2}}{{[N{{H}_{3}}]}^{2}}\]

    B)  \[2{{K}_{1}}[{{N}_{2}}]{{[{{H}_{2}}]}^{3}}-2{{K}_{2}}{{[N{{H}_{3}}]}^{2}}\]

    C)  \[2{{K}_{2}}{{[N{{H}_{3}}]}^{2}}-2{{K}_{1}}[{{N}_{2}}]{{[{{H}_{2}}]}^{3}}\]

    D)  \[{{K}_{2}}{{[N{{H}_{3}}]}^{2}}-{{K}_{1}}[{{N}_{2}}]{{[{{H}_{2}}]}^{3}}\]

    Correct Answer: C

    Solution :

    For the reaction, \[{{N}_{2}}+3{{H}_{2}}(g)2N{{H}_{3}}\] \[-\frac{1}{2}\frac{d[N{{H}_{3}}]}{dt}=Rat{{e}_{2}}-Rat{{e}_{1}}\] \[={{K}_{2}}{{[N{{H}_{3}}]}^{2}}-{{K}_{1}}[{{N}_{2}}]{{[{{H}_{2}}]}^{3}}\] \[-\frac{d[N{{H}_{3}}]}{dt}=2{{K}_{2}}{{[N{{H}_{3}}]}^{2}}-2{{K}_{1}}[{{N}_{2}}]{{[{{H}_{2}}]}^{3}}\]


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