=) A cup of water with a temperature of 90°C is placed in a room with a constan temperature of 24° C. After 15 minutes, the water temperature is 55° C. Newton's Law o dT cooling states that the rate at which an object cools is = k(T-T), where k is the dt %3D constant of proportionaity, T is the temperature of the object, and Tois the surrounding temperature. Use the Newton's Law to calculate the time for the water temperature to reach 30°C.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 14CC
icon
Related questions
Question
c) A cup of water with a temperature of 90°C
temperature of 24° C. After 15 minutes, the water temperature is 55° C. Newton's Law of
placed in a room with a constant
dT
cooling states that the rate at which an object cools is
=Dk(T-To) , where k is the
dt
%3|
constant of proportionaility, T is the temperature of the object, and To is the surrounding
temperature. Use the Newton's Law to calculate the time for the water temperature to
reach 30° C.
Transcribed Image Text:c) A cup of water with a temperature of 90°C temperature of 24° C. After 15 minutes, the water temperature is 55° C. Newton's Law of placed in a room with a constant dT cooling states that the rate at which an object cools is =Dk(T-To) , where k is the dt %3| constant of proportionaility, T is the temperature of the object, and To is the surrounding temperature. Use the Newton's Law to calculate the time for the water temperature to reach 30° C.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning