3. (10 points total) For a certain metal that undergoes a phase transformation from alpha to beta on cooling by a nucleation and growth process at 500 C, given the following data are available for the nucleation rate o (nuclei/m3/s) and the growth rate of G(m/s) as a function of temperature: T(C) (m3s-1) G (m/s) 475 5.0x1011 2.0x10-8 400 1.0x1015 5.0x10-8 325 1.0x1016 1.00x10-10 a. (5 pts) On the same graph, calculate and plot the fraction transformed as a function of time (log 10(time,s) scale) from the Johnson-Mehl-Avrami-Kolmogorov (JMAK) equation for each of these temperatures with a minimum of 10 points on each curve. b. (5 pts) From the data and plots in a. above, estimate the times for 5, 50, and 95 % transformed and plot a TTT diagram for this transformation for 5, 50, and 95 % transformed with temperature vertical and time horizontal (log 10(time,s) scale). Include and show the equilibrium temperature