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An important step in the purification of uranium isotopes involves the conversion of uranium (to uranium hexafluoride (UF.). In the present process, UF, is prepared by exposing uranium pellets. spherical in shape, to pure fluorine gas (F:) at 1000 K and 1 atm pressure. The molecular diffusion of the fluorine gas to the pellet surface is thought to be the controlling step. If the reaction U(s) + 3F2(g) - UF.(g) occurs irreversibly and instantaneously on the pellet surface, and the diffusivity of fuorine sa through uranium hexafluoride gas is Da 0.273 cm is at 1000 K and I am. MW(UF-352.6 mol Assume Steady state system. AF: and B: UF V. NA + -RA=0 N-DA+NA+N.) 1) Draw a picture of the physical system? 2) List reasonable assumptions 3) Simplify the general differential equation for mass transfer? 4) Simplify the flux equation? 5) Determine the production rate (g/hr) of UF, when the pellet diameter is 0.4 cm? 6) Find the concentration profile of the fluorine (Fa)? (bonus: 2 marks) OCA NA . Rectangular coordinates TONA, ONAY ONA2 = RA = + + + t ax az Cylindrical coordinates 1 NAP : + =RA : ar Trar 1 ON 1 a ; OCA ( 1 (FENA) + rsine 36 +, + 2 or +" + RA (rNA.r) + 7 Spherical coordinates (NA. sin 8) + rsin 820 at