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A fresh cup of coffee has a temperature of 80°C. The coffee is cool enough to drink once its temperature is 40°C. The ambient temperature is 20°C. After 2 minutes, the coffee has cooled by 10°C. Using Newton's law of cooling, estimate the total time, after the coffee was first prepared, for the coffee to be ready to drink.

A fresh cup of coffee has a temperature of 80°C. The coffee is cool enough to drink once its temperature is 40°C. The ambient temperature is 20°C. After 2 minutes, the coffee has cooled by 10°C. Using Newton's law of cooling, estimate the total time, after the coffee was first prepared, for the coffee to be ready to drink.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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3. A fresh cup of coffee has a temperature of 80°C. The coffee is cool enough to drink once its temperature is 40°C. The ambient temperature is 20°C. After 2 minutes, the coffee has cooled by 10°C. Using Newton's law of cooling, estimate the total time, after the coffee was first prepared, for the coffee to be ready to drink.
Transcribed Image Text:3. A fresh cup of coffee has a temperature of 80°C. The coffee is cool enough to drink once its temperature is 40°C. The ambient temperature is 20°C. After 2 minutes, the coffee has cooled by 10°C. Using Newton's law of cooling, estimate the total time, after the coffee was first prepared, for the coffee to be ready to drink.
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