CoursHeroTranscribedText: 1. Radioactive wastes (krw = 20 W/mK) are stored in a spherical, stainless steel (kss = 15 W/mK) container of inner and outer radii equal to r,- = 0.5 m and r9 = 0.6 m. Heat is generated volumetrically within the wastes at a uniform rate of q = 105 W/m3, and the outer surface of the container is exposed to a water ow for which h = 1000 W/mzK and T00 = 25C. (a) Evaluate the steady-state outer surface temperature, T 5,0 (b) Evaluate the steady-state inner surface temperature, T 5,; (c) Obtain an expression for the temperature distribution, T (r), in the radioactive wastes. Express your result in terms of ri, T m, km, and q. Evaluate the temperature at r = 0. (d) A proposed extension of the foregoing design involves storing waste materials having the same thermal conductivity but twice the heat generation (q = 2 x 105 W/m3) in a stainlesssteel container of equivalent inner radius (r,- = 0.5 m). Safety considerations dictate that the maximum system temperature not exceed 475C and that the container wall thickness be no less than t = 0.04 m and preferably at or close to the original design (t = 0.1 m). Assess the effect of varying the outside convection coefcient to a maximum achievable value of h = 10,000 W/mzK (by increasing the water velocity) and the container wall thickness. Is the proposed extension feasible? Plot T (r=0) vs h for r0 = 0.60 m and r0 = 0.54 m to demonstrate your