Chemistry · Chemical Kinetics

Consider two first-order reactions: A → B (first reaction) and C → D (second reaction). The rate constant for the first reaction at 500 K is double its value at 300 K. At 500 K, 50% of the first reaction completes in 2 hours. The activation energy of the second reaction is half that of the first reaction. If the rate constant of the second reaction at 500 K is double the rate constant of the first reaction at 500 K, then the rate constant for the second reaction at 300 K is equal to ________ × 10-1 hour-1 (nearest integer).