He rate constant of a reaction is 4.55 × 10−5 l/mol·s at 195°c and 8.75 × 10−3 l/mol·s at 258°c. what is the activation energy of the reaction? enter your answer in scientific notation.

Answer : The activation energy of the reaction is,

Solution :  

The relation between the rate constant the activation energy is,  

where,

= initial rate constant =

= final rate constant =

= initial temperature =

= final temperature =

R = gas constant = 8.314 kJ/moleK

Ea = activation energy

Now put all the given values in the above formula, we get the activation energy.

Therefore, the activation energy of the reaction is,