2. A perfume company is developing a new product that is a perfume dissolved in a solid material. In the beginning, the solid material is totally saturated with the perfume so that the concentration of the perfume is the same in the whole solid (0.25gm/cm3). The solid is suddenly exposed to air that has zero perfume concentration. The suggested shapes are shown in the figure: (a) A cylinder with the perfume diffusing in the radial direction only. (b) A sphere with the perfume diffusing in the radial direction. (c) A cuboid with the perfume diffusing in z and y directions. The diffusivity of the perfume in the solid material is 5.732109m2/sec under the operating conditions and the external convection resistance to mass transfer is negligible. i. You want to check which one of the three shapes will still have more than 25% of the concentration of the perfume at the center of the shape after one week. Do your calculations and decide. ii. Calculate the perfume concentration at the surface for the shape you got in part (i) after two weeks if kc=1.15105cm/sec. R=10cm for shapes (a) and (b), and L1 and L2 are 15 and 8 for shape (c). (a (b)