7. (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/m. The outer surface temperature of the rod is 220C. (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(O).