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An ordinary potato (k = 0.6 W/m.K and α = 0.13 × 10 -6 m2 /s)...

An ordinary potato (k = 0.6 W/m.K and α = 0.13 × 10 -6 m2 /s) can be approximated as a 6-cm diameter sphere. The potato is initially at a uniform temperature of 200 C and is to be baked in an oven with air temperature of 1800 C. The average convection coefficient between the potato and the air is experimentally determined to be 15 W/m2 .K. Determine how long it will take for the surface temperature of the potato to increase to 1600 C.

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Re3m3 013x16 ms Given K0.6wmk T- 1600c -1800 c hsisuk Biot Number f« sphere Bi- 3 K ISx 3x1 Bi Lumped at p parameker mald NotSPHERE: TEMPERATURE-TIME HISTORY AT ANY RADIUS, r 1.0 0.2 0.9 t/R 0.4 0.8 0.7 0.5 11 0.6 0.6 0.5 0.7 0.4 j0.8 0.3 0.9 0.2 1,0S22.1 -180 6 0.136 200-12o0 T-Too h Ro =0.75 from chart -o-12 o.13x10x N 4984.61 Sec SPHERE: TEMPERATURE-TIME IISTORY AT CENT

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