A body whose temperature is 180°C is cooled by immersing in a liquid at 60°C. In one minute, the temperature of the body has fallen to 120° C. The rate at which the body temperature (7) change at time t is given by the equation T- -k(T-60). Calculate the time it take for the temperature of the body to fall to 90°C. dt
A body whose temperature is 180°C is cooled by immersing in a liquid at 60°C. In one minute, the temperature of the body has fallen to 120° C. The rate at which the body temperature (7) change at time t is given by the equation T- -k(T-60). Calculate the time it take for the temperature of the body to fall to 90°C. dt
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter3: Solving Equation And Problems
Section3.5: Equations With The Variable On Both Sides
Problem 16P
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Question
![6.
A body whose temperature is 180°C is cooled by immersing in a liquid at 60°C.
In one minute, the temperature of the body has fallen to 120° C. The rate at which
the body temperature (T) change at time t is given by the equation dT=
dt
-k(T – 60). Calculate the time it take for the temperature of the body to fall to
90°C.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F887da5fb-40ca-4693-b3dc-b0edca03a10d%2Fb37bc5dd-73bb-4739-9f65-a6720bbedbbb%2Fc50ojs_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6.
A body whose temperature is 180°C is cooled by immersing in a liquid at 60°C.
In one minute, the temperature of the body has fallen to 120° C. The rate at which
the body temperature (T) change at time t is given by the equation dT=
dt
-k(T – 60). Calculate the time it take for the temperature of the body to fall to
90°C.
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