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 75% completion. assume a k value of 4.46 x 10-4.