A potato that may be approximated as a 5.7-cm-diameter solid sphere with the propertiesρ = 910 kg/m3, cp = 4.25 kJ/kg•ºC, k = 0.68 W/m•ºC, and α = 1.76×10-7 m2/s. Twelve such potatoes initially at 25ºC are to be cooked by placing them in an oven maintained at 250ºC with a heat transfer coefficient of 95 W/m2•ºC. The amount of heat transfer to the potatoes by the time the center temperature reaches 90ºC is
(a) 1012 kJ
(b) 1366 kJ
(c) 1788 kJ
(d) 2046 kJ
(e) 3270 kJ
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