30 points)In a nuclear reactor, a 1.5cm diameter cylindrical uranium rod cooled by water serves as fuel. Heat is generated uniformly in the rods (k=29.5W/mK) at a rate of 40MW/m3. The outer surface temperature of the rod is 220oC. (a) Determine the heat generation rate and heat flux from a 1m long rod, assuming adiabatic tips and uniform heat transfer along the rod. (b) Assuming one-dimensional heat transfer, use equation 2-26 or equivalent to determine the differential equation that governs this situation and give boundary conditions. State any assumptions you make during this determination. (c) Determine temperature as a function of radius and state T(0). (d) Heat transfer mode of Conduction is the transfer of energy from the more energetic particles of a substance to the adjacent less energetic ones as a result of interactions between (e) the particles. Conduction can take place in solids, liquids, or gases. In (f) gases and liquids,Conduction can take place in solids, liquids, or gases. In (g) gases and liquids, conduction is due to the collisions and diffusion