the activation energy of a reaction is 75.2kj/mol in the absence of a catalyst and 50.14kj/mol with a catalyst.how many times will the rate of reaction grow in the presence of the catalyst if the reaction preceeds at 25degree celcius?

According to A rrhenius equation,

      

Let for uncatalysed reaction ,   --------(i)

And , for catalysed reaction ,   ---------(ii)

Subtracting equation (i) from equation (ii)

 

 

   =

   = 4.39

Taking antilog on both sides,we have

 

Therefore rate of reaction increased by 2.45 x 10⁴ times