Answer the problem with the problem data, please

Heat transfer

If in a spherical fuel rod of a nuclear reactor, as shown in Fig. figure, heat is generated internally according to the equation:

Where:

rate of heat generation per unit volume at centerline

r_o= outer radius

a) Derive an expression for the temperature profile in the sphere, in state stationary, one-dimensional heat conduction in the radial direction, and constant thermal conductivity k.

b) Deduce an expression for the total heat loss at the surface of the sphere.

(4) - Trat, egen, G = Localheat generationrateper unituolume egen, 1 ro r