5. The gas-phase decomposition of ethyl iodide to give ethylene and hydrogen iodide is a first-order reaction. C2H5I  C2H4 + HI At 600 K, the value of k is 1.60 × 10– 5 s– 1. When the temperature is raised to 700 K, the value of k increases to 6.36 × 10– 3 s– 1. What is the activation energy for this reaction?

The activation energy for the reaction is 209 kJ

Explanation:

According to the Arrhenius equation,

or,

where,

= rate constant at =

= rate constant at =

= activation energy for the reaction = ?

R = gas constant = 8.314 J/mole.K

= initial temperature =

= final temperature =

Now put all the given values in this formula, we get :

Therefore, the activation energy for the reaction is 209 kJ

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