AMU Medical AMU Solved Paper-2014

  • question_answer
    For the reaction, \[2{{N}_{2}}{{O}_{5}}\xrightarrow{{}}4N{{O}_{2}}+{{O}_{2}};\] the rate is directly proportional to \[[{{N}_{2}}{{O}_{5}}]\]. At\[{{45}^{o}}C\], 90% of the \[{{N}_{2}}{{O}_{5}}\] reacts in 3600 seconds. The value of the rate constant is

    A)  \[3.2\times {{10}^{-4}}{{s}^{-1}}\]          

    B)  \[6.4\times {{10}^{-4}}{{s}^{-1}}\]

    C)  \[8.5\times {{10}^{-4}}{{s}^{-1}}\]          

    D)  \[12.8\times {{10}^{-4}}{{s}^{-1}}\]

    Correct Answer: B

    Solution :

                    \[2{{N}_{2}}{{O}_{5}}\xrightarrow{{}}4N{{O}_{2}}+{{O}_{2}}\] Since, rate of above reaction is directly proportional to \[[{{N}_{2}}{{O}_{5}}]\], therefore reaction is of first order. rate constant, \[k=\frac{2.303}{t}\log \frac{a}{a-x}\]                                 \[=\frac{2.303}{3600}\log \frac{100}{100-90}\]                                 \[=\frac{2.303}{3600}\log 10\]                                 \[=\frac{2.303}{3600}\times 1=0.00064\]                                 \[=6.4\times {{10}^{-4}}\,\,{{s}^{-1}}\]


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