8-cm-thick large food slabs tightly wrapped by thin paper are to be cooled in a refrigeration room maintained at 0°C. The heat transfer coefficient on the box surfaces is 25 W/m2 ·K 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·K and α = 0.11 × 10–6 m2 /s), (b) white cake (k = 0.082 W/m2·K and α = 0.10 × 10–6 m2 /s), and (c) chocolate cake (k = 0.106 W/m·K and α = 0.12 × 10–6 m2 /s).
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