Use the same Al-Mg phase diagram information given in Q1. An Al-1.0 wt.% Mg alloy is solidified unidirectionally into a single crystal with no convection and a planar solid liquid interface (The diffusion coefficient of the liquid is DL = 3 x 10-9 ms-). (a) Using microsoft excel or similar, plot the liquid concentration profiles for a solid/liquid interface advancing at 10 um/s and 100 um/s. Explain the difference in these profiles. (10 marks) (b) For a crystal growth rate of 10 um/s, what is the minimum temperature gradient in the liquid needed to maintain a planar interface and, hence, produce a single crystal