The rate of reaction at 550 k is ten times faster than the rate of reaction at 440 k. find the activation energy from the collision theory. a) 40075.14 j/mol b) 50078.5j/mol c) 44574.5 j/mol d) 43475.5 j/mol

Answer :  a) 40075.14 J/mol

Explanation :

According to the Arrhenius equation,

or,

where,

= rate constant at = k

= rate constant at = 10 k

= activation energy for the reaction = ?

R = gas constant = 8.314 J/mole.K

= initial temperature = 440 K

= final temperature = 550 K

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

Therefore, the activation energy for the reaction is 40075.14J/mol.