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Please answer all the questions ( Problem 1 and 2 ) clearly !

Problem 1 y (m) T1-50C T1 50°C x (m) 0 2 4.3 Consider the two-dimensional rectangular plate of Problem 4.2 having a thermal conductivity of 50 W/m K. Beginning with the exact solution for the temperature distribution, derive an expression for the heat transfer rate per unit thickness from the plate along the lower surface (0sxs2. y-0). Evaluate the heat rate considering the first five nonzero terms of the infinite series. Problem 2 In this problem, you will calculate the shape factor from a known solution. (a) Referring to problem 1 (above figure), calculate the heat rate from T to T for a plate thickness 0.02 m. (b) Calculate the shape factor for the plate usingq-SAT.

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