A sphere of naphthalene having a radius of 4.0mm is suspended in a large volume of still air at 318K and 1atm. The surface temperature of naphthalene can be assumed to be 318K and its vapor pressure at 318K is 0.555mmHg. The DAB of naphthalene in air at 318K and 1.0atm is 6.92106m2s1. a) Calculate the rate of sublimation of naphthalene (in kmoles s1 ). Show a detailed schematic, a list of at least five assumptions made, and all equations and necessary derivations to obtain an appropriate phenomenological model ( 30pts). b) Derive an equation to estimate the time (tj) it takes the sphere's initial radius (ri) to decrease to a radius (rf). Then, perform a calculation with your model to estimate how long it takes the radius of a sphere of naphthalene to decrease from 4.0 to 1.0mm. For this part, assume a pseudo-steady state. Show all equations and necessary derivations to obtain an appropriate mathematical model ( 30pts)