question: 3. The Big Pot of Soup. As part of his summer job at a restaurant, Jim learned to cook up a big pot of soup late at night, just before closing time, so that there would be plenty of soup to feed customers the next day. He also found out that, while refrigeration was essential to preserve the soup overnight, the soup was too hot to be put directly into the fridge when it was ready. (The soup had just boiled at 100 degrees C, and the fridge was not powerful enough to accommodate a big pot of soup if it was any warmer than 20 degrees C). Jim discovered that by cooling the pot in a sink full of cold water, (kept running, so that its temperature was roughly constant at 5 degrees C) and stirring occasionally, he could bring the temperature of the soup to 60 degrees C in ten minutes. How long before closing time should the soup be ready so that Jim could put it in the fridge and leave on time? answer key: 3. t = 33.77 mins

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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3. The Big Pot of Soup. As part of his summer job at a restaurant, Jim learned to cook up a big pot of soup
late at night, just before closing time, so that there would be plenty of soup to feed customers the next
day. He also found out that, while refrigeration was essential to preserve the soup overnight, the soup was
too hot to be put directly into the fridge when it was ready. (The soup had just boiled at 100 degrees C, and
the fridge was not powerful enough to accommodate a big pot of soup if it was any warmer than 20
degrees C). Jim discovered that by cooling the pot in a sink full of cold water, (kept running, so that its
temperature was roughly constant at 5 degrees C) and stirring occasionally, he could bring the temperature
of the soup to 60 degrees C in ten minutes. How long before closing time should the soup be ready so that
Jim could put it in the fridge and leave on time?
answer key:
3. t = 33.77 mins
Transcribed Image Text:question: 3. The Big Pot of Soup. As part of his summer job at a restaurant, Jim learned to cook up a big pot of soup late at night, just before closing time, so that there would be plenty of soup to feed customers the next day. He also found out that, while refrigeration was essential to preserve the soup overnight, the soup was too hot to be put directly into the fridge when it was ready. (The soup had just boiled at 100 degrees C, and the fridge was not powerful enough to accommodate a big pot of soup if it was any warmer than 20 degrees C). Jim discovered that by cooling the pot in a sink full of cold water, (kept running, so that its temperature was roughly constant at 5 degrees C) and stirring occasionally, he could bring the temperature of the soup to 60 degrees C in ten minutes. How long before closing time should the soup be ready so that Jim could put it in the fridge and leave on time? answer key: 3. t = 33.77 mins
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