Solution: How long will it take to cool from 100° to 50°?

According to Newton’s law of cooling, the rate at which a substance cools in air is directly proportional to the difference between the temperatures of the substance and that of air. If the temperature of the air is 30° and the substance cools from 100° to 70° in 15 minutes, how long will it take to cool 100° to 50°?

How long will it take to cool from 100° to 50°?

Problem Statement:

According to Newton’s law of cooling, the rate at which a substance cools in air is directly proportional to the difference between the temperatures of the substance and that of air. If the temperature of the air is 30° and the substance cools from 100° to 70° in 15 minutes, how long will it take to cool 100° to 50°?

Problem Answer:

It will take 33. 59 min to cool from 100° to 50°

Solution:

Online Questions and Answers in Differential Equations


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