At t = 0, a cube of pure Marylandium (Md) 5 cm on each side is put into a furnace at 1000 °C with a carbon (C) atmosphere at a concentration of 0.1wt%. The diffusion coefficient for C in Md at this temperature is 2 × 109 m2 /s. The density of C is 2.25 g/cm3 and Md is 8 g/cm3 . (a) Sketch the system in one dimension (1D), indicating the materials, locations, variables, and direction of atomic motion. (b) Make a sketch of the C concentration profile in the material at t = 0 clearly labeling the x and y axes with values, units and what is represented. (c) Add a qualitative sketch of the C concentration profile after a short time t1. (d) Add a qualitative sketch of the C concentration profile at a longer time t2.