According to Newton's cooling law, the rate of cooling of a hot body is pro- portional to the difference between the temperatures of the hot body and the environment. If the room temperature is 30° Celsius and the temperature of a hot body in the room cools down to 50° from 100° Celsius in just 5 minutes, then how many more minutes will it take to cool down to 40°?
According to Newton's cooling law, the rate of cooling of a hot body is pro- portional to the difference between the temperatures of the hot body and the environment. If the room temperature is 30° Celsius and the temperature of a hot body in the room cools down to 50° from 100° Celsius in just 5 minutes, then how many more minutes will it take to cool down to 40°?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![According to Newton's cooling law, the rate of cooling of a hot body is pro-
portional to the difference between the temperatures of the hot body and the
environment. If the room temperature is 30° Celsius and the temperature of
a hot body in the room cools down to 50° from 100° Celsius in just 5 minutes,
then how many more minutes will it take to cool down to 40°?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa85edde9-9c3e-4109-8184-6681a4017b68%2Fcb104faa-702a-4403-9af2-2d28d7ff2f40%2Fggv5dy_processed.jpeg&w=3840&q=75)
Transcribed Image Text:According to Newton's cooling law, the rate of cooling of a hot body is pro-
portional to the difference between the temperatures of the hot body and the
environment. If the room temperature is 30° Celsius and the temperature of
a hot body in the room cools down to 50° from 100° Celsius in just 5 minutes,
then how many more minutes will it take to cool down to 40°?
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