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NEET 2003
Exam
NEET
Year
2003
Subject
Chemistry
Chapter
Chemical Kinetics

NEET 2003 · Chemistry · Chemical Kinetics

The temperature dependence of rate constant (k) of a chemical...

The temperature dependence of rate constant (k)(k) of a chemical reaction is written in terms of Arrhenius equation, k=A⋅e−Ea/RT\mathrm{k}=\mathrm{A} \cdot e^{-\mathrm{Ea} / \mathrm{RT}}. Activation energy (Ea)\left(\mathrm{E}_a\right) of the reaction can be calculated by ploting:

Options

  1. Akk vs T
  2. Bkk vs 1log⁡T\frac{1}{\log \mathrm{T}}
  3. Clog⁡k\log k vs 1T\frac{1}{\mathrm{T}}
  4. Dlog⁡k\log k vs 1log⁡T\frac{1}{\log \mathrm{T}}

Correct answer

C. log⁡k\log k vs 1T\frac{1}{\mathrm{T}}

Step-by-step solution

We can calculate the Activation Energy by graphing ln k versus 1/T. When the ln⁡k\ln k (rate constant) is plotted versus the inverse of the temperature (kelvin), the slope is a straight line. The value of the slope (m)(\mathrm{m}) is equal to −Ea/R-\mathrm{Ea} / \mathrm{R} where R\mathrm{R} is a constant equal to 8.314 J/mol−K8.314 \mathrm{~J} / \mathrm{mol}-\mathrm{K}.
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