A steel rod is heated in a furnace until the surface temperature of the rod is 800 C and can be considered as a blackbody emitter. (o = 5.7 10 W/mK) (a) Estimate the thermal radiation energy emitted by the steel rod if it is 0.5 m long and has a radius of 4 cm. (b) The steel rod is then immediately immersed in an insulated tank filled with 100 kg of water that was initially at 20 C. What will be the equilibrium temperature between water and steel? (c) Once equilibrium temperature is reached, the insulation around the tank is removed and the tank is exposed to a surrounding temperature of 15 C. Assuming the heat loss by the tank is via convection with a convective heat transfer coefficient of h, and a surface area of A and there is no thermal gradient within the contents of the tank, derive an equation describing the temperature of the contents of the tank as a function of time. Assume the tank has no thermal inertia.