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The rate constant for a first order reaction is given by the following equation :
\ln \mathrm{k}=33.24-\frac{2.0 \times 10^{4} \mathrm{~K}}{\mathrm{~T}}
The Activation energy for the reaction is given by___________ \mathrm{kJ} \mathrm{mol}^{-1} \cdot In Nearest integer)

(Given : \mathrm{R}=8.3 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1} )

Option: 1

166


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

\mathrm{\ln k=\ln A-\frac{E_{a}}{R T}.........(i)}

Given:

\mathrm{\operatorname{ln\; k}=33.24-\frac{2.0 \times 10^{4} K}{T}.....\text { (ii) }}

\mathrm{On~comparing \; Eq. (i)\; \& \; (ii), we ~have}

\mathrm{\frac{E a}{R}=2.0 \times 10^{4}}

\mathrm{Ea=2.0\times10^{4}\times8.3\; J/mol}

        \mathrm{=16.6\times10^{4}\; J/mol}

        \mathrm{=166\times10^{3}\; J/mol}

         \mathrm{=166\; KJ/mol}

Hence,the answer is 166.

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