Temperature coefficient is defined as change in rate ratio by an increase in 10^{o}C.
Mathematically, Temperature coefficient = \frac{k_{t+10^{o}}}{k_{t}}
Therefore, in the given situation we can conclude that when temperature changes from 30^{o}C to 40^{o}C then it is given that temperature coefficient is 2.
Hence, when temperature changes from 30^{o}C to 100^{o}C then rate of reaction will be 2^{7} which is equal to 128.