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NEET Sample Paper NEET Sample Test Paper-77

  • question_answer
    Arrhenius proposed a quantitative relationship between rate constant and temperature as \[\operatorname{k}=\,\,A{{e}^{-{{E}_{a}}/\,RT}}\] or In \[k=\ln \,\,A-{{E}_{a}}/RT\]. What will be the slope of graph when ln k is plotted versus 1/T?

    A)  \[\frac{{{E}_{a}}}{R}\]                                   

    B)  \[-\frac{{{E}_{a}}}{R}\]

    C)  \[\frac{1}{T}\]                         

    D)  ln A

    Correct Answer: B

    Solution :

    According to Arrhenius equation, we know that \[k=A\,{{e}^{\frac{-{{E}_{a}}}{RT}}}\] Taking log on both sides In \[k=In\,\,A+\frac{-{{E}_{a}}}{RT}\] \[\operatorname{Y}=C+MX\] \[m=\frac{-{{E}_{a}}}{R}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,(Slope)\]


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