White potatoes (k = 0.50 W/m·K and a = 0.13 * 1026 m2/s) that are initially at a uniform temperature of 25°C and have an average diameter of 6 cm are to be cooled by refrigerated air at 2°C flowing at a velocity of 4 m/s. The average heat transfer coefficient between the potatoes and the air is experimentally determined to be 19 W/m2·K. Determine how long it will take for the center temperature of the potatoes to drop to 6°C. Also, determine if any part of the potatoes will experience chilling injury during this process.

College Physics
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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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White potatoes (k = 0.50 W/m·K and a = 0.13 *
1026 m2/s) that are initially at a uniform temperature of 25°C
and have an average diameter of 6 cm are to be cooled by
refrigerated air at 2°C flowing at a velocity of 4 m/s. The
average heat transfer coefficient between the potatoes and
the air is experimentally determined to be 19 W/m2·K.
Determine how long it will take for the center temperature of
the potatoes to drop to 6°C. Also, determine if any part of the
potatoes will experience chilling injury during this process.

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