MGIMS WARDHA MGIMS WARDHA Solved Paper-2003

  • question_answer
    Which equation is correct for first order reactions?

    A)  \[{{t}_{1/2}}\propto {{C}^{-1}}\]                             

    B)  \[{{t}_{1/2}}\propto C\]

    C)  \[{{t}_{1/2}}\propto {{C}^{0}}\]                               

    D)  \[{{t}_{1/2}}\propto {{C}^{1/2}}\]

    Correct Answer: C

    Solution :

                     The relation between half-life period and initial concentration  for a nth order reaction is given by. \[{{t}_{1/2}}\propto \frac{1}{{{C}^{n-1}}}\] For first order rear don\[(n=1)\]                 \[{{t}_{1/2}}\propto \frac{1}{{{C}^{1-1}}}\]          or          \[{{t}_{1/2}}\propto {{C}^{0}}\]


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