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Consider a long nuclear fuel rod which is surrounded by an annular layer of aluminum "cladding",as shown below. Within the fuel rod, heat is produced by fission; this heat sources is dependenton position, with a source strength varying approximately asSn = Sn0"1 + brRF2#where Sn0 is the heat per unit volume per unit time produced at r = 0, and r is the distancefrom the axis of the fuel rod. Calculate the maximum temperature in the fuel rod, if the outersurface of the cladding is in contact with a liquid coolant at temperature TL, the heat transfercoefficient of the cladding-coolant interface being hL. The thermal conductivities of fuel rodand cladding are kF and kC.
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The atmospheric pressure of 100k Pa acts on the other side of the piston. The gas is heated until the volume is doubled and the final pressure is 500 kPa. Calculate the work done by the gas.
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