Carbon steel balls (ρ = 7830 kg/m3, k = 64 W/m•°C, cp = 434 J/kg•°C) initially at 200°C are quenched in an oil bath at 20°C for a period of 3 minutes. If the balls have a diameter of 5 cm and the convection heat transfer coefficient is 450 W/m2•°C, the center temperature of the balls after quenching will be (Hint: Check the Biot number).
(a) 30.3°C
(b) 46.1°C
(c) 55.4°C
(d) 68.9°C
(e) 79.4°C
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