A hot steel ball of 5 mm in diameter initially at 100 oC is left to cool down in air at 20 oC.  Assume a constant convective heat transfer coefficient h = 15 W/m2K through the course of the cooling process. Cp, steel = 0.49 kJ / kg K , k,steel = 45.0 W / m K , rho, steel = 7800 kg/m^3 Cp,air = 1.00 kJ/kg K ; k_air = 0.025 W / m K; rho,air = 1.2 kg/m^3  a) Calculate the rate of convective heat transfer when the steel ball is uniformly at 100 oC.   b) Assuming the steel as a lumped system, find the temperature of the steel ball after 0.5 s.

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