In your first job with a large U$.$S based steel company. you have been assigned to a team tacked with developing a new low carbon steel alloy, In the ironcarbon system, the kinetics of the austenite to pearlite transformation obeys the Avrami relationstip. Initial experimental data shows that the transformation reaches $20\%$ completion in $12\mathrm{.}6$ seconds and $80\%$ completion in $28\mathrm{.}2$ seconds. Determine the time fin seconds$)$ required for the transformation in this new steel to reach $95\%$ completion. Assume a k value of $4\mathrm{.}46{10}^{-4}.$

$31$

$45$

$90$

$36$

$75$