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This question requires the use of the conduction charts given at the end of this paper.

A steel cylinder having a diameter of 40 cm is initially at a uniform temperature of 20 oC. Suddenly it is exposed to a temperature of 900 oC in a furnace. The thermal conductivity and thermal diffusivity of the steel cylinder are 34.8 W/m K and 0.695 x 10-5 m2/s, respectively. The heat-transfer coefficient is 174 W/m2 K. The cylinder can be assumed to be infinitely long.

(a) Calculate the time required to raise the oute rsurface temperature to750oC after exposure.

(b) Calculate the energy gained during this time.