The rate constant of a reaction is 6.85 × 10−5 L/mol·s at 195°C and 2.20 × 10−3 L/mol·s at 258°C. What is the activation energy of the reaction? Enter your answer in scientific notation.

The activation energy of the reaction is 113.8 kJ/mol

Explanation:

To calculate activation energy of the reaction, we use Arrhenius equation, which is:

where,

= equilibrium constant at 258°C =

= equilibrium constant at 195°C =

= Activation energy of the reaction = ?

R = Gas constant = 8.314 J/mol K

= initial temperature =

= final temperature =

Putting values in above equation, we get:

Hence, the activation energy of the reaction is 113.8 kJ/mol

it is the most commonly accepted one