EAMCET Medical EAMCET Medical Solved Paper-2008

  • question_answer
    \[\text{A(g)}\xrightarrow{{}}\text{B(g)}\]is a first order reaction. The initial concentration of A is \[\text{0}\text{.2}\,\text{mol}\,{{\text{L}}^{-1}}.\]After 10 min, the concentration of B is found to be \[\text{0}\text{.18}\,\text{mol}\,{{\text{L}}^{-1}}.\] The rate constant \[(in\,mi{{n}^{-1}})\] for the reaction is

    A)  0.2303                                 

    B)  2.303

    C)  0.693                                   

    D)  0.01

    Correct Answer: A

    Solution :

                     Given, \[A(g)\xrightarrow{{}}B(g)\](first order reaction)  Initial concentration of \[A=0.2\text{ }mol\text{ }{{L}^{-1}}\]       Concentration of \[\text{B}=0.18\text{ mol}\,{{\text{L}}^{-1}}\] Concentration of A after 10 min \[=0.2-0.18\] \[=0.02\text{ mol }{{\text{L}}^{-1}}\] time (r)= 10 min Rate constant, \[k=\frac{2.303}{t}\log \frac{a}{a-x}\] \[=\frac{2.303}{10}\log \frac{0.2}{0.02}\]               \[=0.2303\,{{\min }^{-1}}\]


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