J & K CET Medical J & K - CET Medical Solved Paper-2010

  • question_answer
    In a catalytic experiment involving the Haber process,\[{{N}_{2}}(g)+3{{H}_{2}}(g)\xrightarrow{{}}2N{{H}_{3}}(g),\]the rate of reaction was measured as Rate =\[[N{{H}_{3}}]=2.0\times {{10}^{-4}}M{{s}^{-1}}\] If there were no side reactions what was the rate of reaction expressed in terms of\[{{N}_{2}}\]?

    A) \[1\times {{10}^{-4}}M{{s}^{-1}}\]           

    B) \[4\times {{10}^{-4}}M{{s}^{-1}}\]

    C)  \[5\times {{10}^{-3}}M{{s}^{-1}}\]          

    D) \[1\times {{10}^{-3}}M{{s}^{-1}}\]

    Correct Answer: A

    Solution :

                    Given, rate\[=2.0\times {{10}^{-4}}M{{s}^{-1}}\] For the reaction, \[{{N}_{2}}(g)+3{{H}_{2}}(g)\xrightarrow[{}]{{}}2N{{H}_{3}}(g)\] \[-\frac{d[{{N}_{2}}]}{dt}=\frac{d[{{H}_{2}}]}{3dt}=+\frac{d[N{{h}_{3}}]}{2dt}\] \[\frac{-d[{{N}_{2}}]}{dt}=\frac{d[N{{H}_{3}}]}{2dt}\]                     \[=\frac{2.0\times {{10}^{-4}}}{2}=1.0\times {{10}^{-4}}M{{s}^{-1}}\]


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