A thermometer is removed from a room where the temperature is 70° F and is taken outside, where the air temperature is 8 F. After one-half minute the thermometer reads 47° F. How long will it take for the thermometer to reach 27 °F? Assume that the rate of change of temperature in time is proportional to the difference between the thermometer's temperature and the air temperature. Type your answer in minutes in the space provided below. Round your answer to two decimal places.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter1: Basic Modes Of Heat Transfer
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A thermometer is removed from a room where the temperature is 70° F and is taken outside, where the air
temperature is 8° F. After one-half minute the thermometer reads 47° F. How long will it take for the thermometer
to reach 27 °F? Assume that the rate of change of temperature in time is proportional to the difference between
the thermometer's temperature and the air temperature.
Type your answer in minutes in the space provided below. Round your answer to two decimal places.
Transcribed Image Text:A thermometer is removed from a room where the temperature is 70° F and is taken outside, where the air temperature is 8° F. After one-half minute the thermometer reads 47° F. How long will it take for the thermometer to reach 27 °F? Assume that the rate of change of temperature in time is proportional to the difference between the thermometer's temperature and the air temperature. Type your answer in minutes in the space provided below. Round your answer to two decimal places.
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