3. As part of his summer job at a restaurant, Bren 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°C, and the fridge was not powerful enough to accommodate a big pot of soup if it was any warmer than 20°C). Bren discovered that by cooling the pot in a sink full of cold water (kept running, so that its temperature was roughly constant at 5°C) and stirring occasionally, he could bring the temperature of the soup from 100°C to 60°C in ten minutes. Howlong before closing time should the soup be ready so that Bren can put it in the fridge by closing time?
Answer this differential equations problem please
Given- As part of his summer job at a restaurant, Bren 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 , and the fridge was not powerful enough to accommodate a big pot of soup if it was any warmer than ). Bren discovered that by cooling the pot in a sink full of cold water (kept running, so that its temperature was roughly constant at ) and stirring occasionally, he could bring the temperature of the soup from to in ten minutes.
To find- How long before closing time should the soup be ready so that Bren could put it in the fridge by closing time?
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