In order to analyse variation of rate constant with temperature Arrhenius equation is used the two parameters involved pre-exponential factor and activation energy are assumed to be constant in the theory while in reality they may vary with temperature It is further observed that Arrhenius factor is proportional to sqrt(T) and hence the equation can be restated as: k=A sqrt(T)e^(-Ea//RT) (where A' is temperature independent). However, for most of the analysis its variation is neglected Also, if activation energy is temperature dependent then Arrhenius equation does not hold true and the following equation should be used (d l n k)/(dT)=(E_(a))/(RT^(2)) where symbols have usual meaning. Assuming Arrhenius factor to be constant and activation energy to be dependent on temperature and varying as (0.02 T^(2)) cal (if T is in Kelvin scale) then calculate by what factor will rate constant increase if temperature is increased from 200 K to 400 K?