Newtons law of cooling  what is the general solution of dT/dt = -k(T-Ta)  K > 0 is constant  assuming constant ambient temperature and T > Ta using seperable techniques and b) (pictured)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

Newtons law of cooling 

what is the general solution of dT/dt = -k(T-Ta) 

K > 0 is constant 

assuming constant ambient temperature and T > Ta using seperable techniques

and b) (pictured)

Newton's law of cooling can be used by forensic scientists to approximate the time of death of a
body. With TA = 18°C, To = 25°C, and (t₁, T₁) = (1 hour, 23°C), determine how many hours prior to
to death occurred, assuming the body's temperature was 37°C at that moment.
Transcribed Image Text:Newton's law of cooling can be used by forensic scientists to approximate the time of death of a body. With TA = 18°C, To = 25°C, and (t₁, T₁) = (1 hour, 23°C), determine how many hours prior to to death occurred, assuming the body's temperature was 37°C at that moment.
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,