Jim is cooking sopas (chicken noodle soup) for Noche Buena. He finished early in the afternoon and wants to preserve it but the sopas is still too hot if it will be put directly on the refrigerator. The sopas has just boiled a hundred degree Celsius and the refrigerator wasn't powerful enough for the big container of the soup if it was warmer than 20 degrees Celsius. Jose found out that cooling it in a sink full of cold water, while the faucet is running with the water resulting to roughly constant temperature of 8 degrees Celsius, could bring the temperature of the sopas to 62 degrees Celsius in 10 minutes. Determine the value of the proportionality constant.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Jim is cooking sopas (chicken noodle soup) for Noche Buena. He
finished early in the afternoon and wants to preserve it but the
sopas is still too hot if it will be put directly on the refrigerator. The
sopas has just boiled a hundred degree Celsius and the refrigerator
wasn't powerful enough for the big container of the soup if it was
warmer than 20 degrees Celsius. Jose found out that cooling it in a
sink full of cold water, while the faucet is running with the water
resulting to roughly constant temperature of 8 degrees Celsius,
could bring the temperature of the sopas to 62 degrees Celsius in 10
minutes. Determine the value of the proportionality constant.
Note: SOLVE CONTINUOUSLY Round off final answer to four decimal
places. If your answer is 0.89668 then input 0.8967 as your answer,
Transcribed Image Text:Jim is cooking sopas (chicken noodle soup) for Noche Buena. He finished early in the afternoon and wants to preserve it but the sopas is still too hot if it will be put directly on the refrigerator. The sopas has just boiled a hundred degree Celsius and the refrigerator wasn't powerful enough for the big container of the soup if it was warmer than 20 degrees Celsius. Jose found out that cooling it in a sink full of cold water, while the faucet is running with the water resulting to roughly constant temperature of 8 degrees Celsius, could bring the temperature of the sopas to 62 degrees Celsius in 10 minutes. Determine the value of the proportionality constant. Note: SOLVE CONTINUOUSLY Round off final answer to four decimal places. If your answer is 0.89668 then input 0.8967 as your answer,
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