an increse of 10k is not enough to double the kinetic energy because the molecular spped is not going to change significantly wheres at rate of reaction doubles
consider for example
T1=298k
T2=308K
Ea=52.8kj
from formula=logk2/k1=Ea/2.303R(1/T2-1/T2)
k2/k1=2
thus the rate of the reaction doubles