We often cut a watermelon in half and put it into the freezer to cool it quickly. But usually we forget to check on it and end up having a watermelon with a frozen layer on the top. To avoid this potential problem a person wants to set the timer such that it will go off when the temperature of the exposed surface of the watermelon drops to 3°C. Consider a 25-cm-diameter spherical watermelon that is cut into two equal parts and put into a freezer at 212°C. Initially, the entire watermelon is at a uniform temperature of 25°C, and the heat transfer coefficient on the surfaces is 22 W/m2·K. Assuming the watermelon to have the properties of water, determine how long it will take for the center of the exposed cut surfaces of the watermelon to drop to 3°C. Answer: 46.7 min

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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We often cut a watermelon in half and put it into the freezer to cool it quickly. But
usually we forget to check on it and end up having a watermelon with a frozen layer
on the top. To avoid this potential problem a person wants to set the timer such that
it will go off when the temperature of the exposed surface of the watermelon drops
to 3°C. Consider a 25-cm-diameter spherical watermelon that is cut into two equal
parts and put into a freezer at 212°C. Initially, the entire watermelon is at a uniform
temperature of 25°C, and the heat transfer coefficient on the surfaces is 22 W/m2·K.
Assuming the watermelon to have the properties of water, determine how long it
will take for the center of the exposed cut surfaces of the watermelon to drop to 3°C.
Answer: 46.7 min 

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