An object at an unknown temperature is placed in a room which is held at a constant temperature of 30 F. If after 10 minutes the temperature of the object is 0 F and after 20 minutes the temperature of the body is 15 F, what is the initial temperature of the object? Assume Newton's Law of Cooling which states that the rate of change of the temperature of a body is proportional to the temperature difference between the body and ts surrounding medium.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter16: Temperature And The Kinetic Theory Of Gases
Section: Chapter Questions
Problem 10P: A sample of a solid substance has a mass m and a density 0 at a temperature T0. (a) Find the density...
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Problem begins here:
An object at an unknown temperature is placed in a room which is held at a constant temperature of 30 F. If
after 10 minutes the temperature of the object is 0°F and after 20 minutes the temperature of the body is
15 F, what is the initial temperature of the object? Assume Newton's Law of Cooling which states that the rate
of change of the temperature of a body is proportional to the temperature difference between the body and
its surrounding medium.
Transcribed Image Text:Problem begins here: An object at an unknown temperature is placed in a room which is held at a constant temperature of 30 F. If after 10 minutes the temperature of the object is 0°F and after 20 minutes the temperature of the body is 15 F, what is the initial temperature of the object? Assume Newton's Law of Cooling which states that the rate of change of the temperature of a body is proportional to the temperature difference between the body and its surrounding medium.
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