Since changing the environment of the spill is not possible, you need other ways to speed up oil decomposition. One method is to add a biological catalyst, an enzyme mixture known as Oil Spill Eater. As a catalyst, Oil Spill Eater reduces the activation energy of oil decomposition from 137. kJ/mol to 52.0 kJ/mol. By what factor would you expect the rate constant to increase at 27°C?

The factor by which the rate constant increases is  

Explanation:

From the question we are told that

 The activation energy of oil before addition of  Oil Spill Easter

 The activation energy of oil after addition of  Oil Spill Easter

The temperature is

The objective of this solution is to obtain the factor by which the rate constant increase at 27°C

   This can be  obtained using the Arrhenius equation

  This equation is mathematically represented as

Where A is the frequency

            k is the rate constant

           R is the gas constant

This Arrhenius equation show a relationship between rate of reaction and

   Activation energy

The decomposition of oil without catalyst is expressed as

The decomposition of oil with catalyst is expressed as

Now dividing  

applying rule of exponent

Substituting value  

it should be p1 v1 = p2 v2

in scientific notation, the value of the  speed of light in a vacuum

  will be written as 2.995 * 10^8. when this value is represented in the form of

  a * 10^b, then, a = 2.995 and b = 8.

the value of the speed of light in a vacuum given above can also be rounded up to approximately 300000000. in this case, the scientific notation will be written as 3 *10^8.