The uncatalyzed decomposition of substance X has an activation energy of 75 kJ mol−1. A catalyst lowers the activation energy to 40 kJ mol−1. Assuming the pre-exponential factor is the same for both pathways, by what factor is the rate constant increased at 298 K? (Use R=8.314J mol−1K−1.)
a) 1.0×107
b) 1.0
c) 1.3×106
d) 4.7×103