In your first job with a large U. S based steel company, you have been assigned to a team tasked with developing a new low carbon steel alloy. In the iron-carbon system, the kinetics of the austenite to pearlite transformation obeys the Avrami relationship. In initial experimental data shows that the transformation reaches 40% completion in 13.1 seconds and 60% completion in 16.2 seconds, Determine the time (in seconds) required for the transformation in this new steel to reach 95% completion. Assume ak value of 4.46 x 104.

a. 90

b. 36.2

c. 45

d. 28

e. 25