Answers should be handwritten, but please take care to ensure they are legible. Marks will be awarded for both the correctness and the clarity of the solutions. It is necessary to include clear and informative diagrams and also to explain the main steps in your calculations. Please scan and upload your solution to Blackboard by 5pm Tuesday, 25 April 2023. 1. A nuclear fuel element takes the form of a plate 6mm thick sandwiched between two stainless steel sheets, each of 2mm thickness. The fuel generates heat uniformly at a rate of q' = 2 108 W/m. The material of the fuel element has a thermal conductivity of ke = 200 W/mK and the thermal conductivity of the stainless steel is ks 50 W/mK. The outer edges of the steel sheets are maintained at temperatures T = 80 C on the left side and TR 100 C on the right side. = = The steady-state one-dimensional heat conduction equation in the fuel element is given by: dT dx q' + = 0 ke By solving the above equation, evaluate: (a) The position and magnitude of the maximum temperature. [40 marks] (b) The two heat transfer rates from the sides of the slab. [5 marks] (c) The two convection heat transfer coefficients, if the slab is surrounded by a fluid at a temperature of 50 C. [5 marks]