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Q.

The temperature dependence of rate constant (k) of a chemical reaction is written in terms of Arrhenius equation, $k = A \cdot e^{- E_{0} / RT}$ . Activation energy $(E^{0})$ of the reaction can be calculated by plotting

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a

$logk v s \frac{1}{logT}$

b

$k vs \frac{1}{\log T}$

c

$\log k vs \frac{1}{T}$

d

$k vs T$

answer is C.

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Detailed Solution

$k = {Ae}^{\frac{- Ea}{RT}} \log k = \log A \frac{- Ea}{RT} \times \log e By plotting \log kvs \frac{1}{T} Its slope will give \frac{Ea}{R} .$

By this we can find $E_{a}$ .

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The temperature dependence of rate constant (k) of a chemical reaction is written in terms of Arrhenius equation, k=A·e-E0/RT. Activation energy E0 of the reaction can be calculated by plotting