10-cm-thick large food slabs tightly wrapped by thin paper arc to be cooled in a refrigeration room maintained at 0°C. The heat transfer coefficient on the box surfaces is 25 W/m2 · °C and the boxes are to be kept in the refrigeration room for a period of 6 h. If the initial temperature of the boxes is 30°C determine the center temperature of the boxes if the boxes contain (a) margarine (k = 0.233 W/m · °C and α = 0.11 × 10–6 m2/s), (b) white cake (k = 0.082 W/m · °C and α = 0.10 × 10-6 m2/s). and (c) chocolate cake (k = 0.106 W/m · °C and α = 0.12 × 10-6 m2/s).
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