10 A thermometțer showing 10°C js brought into a room whose femperature is 27°C After 5 mīnutes , it shows 20°C - when will the thermometer practically feach the temperature 26°C 7
10 A thermometțer showing 10°C js brought into a room whose femperature is 27°C After 5 mīnutes , it shows 20°C - when will the thermometer practically feach the temperature 26°C 7
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.4: Solving Nonlinear Equations
Problem 17E: Van der Waals Equation In Exercise 18 at the end of Section 2.3, we discussed the ideal gas law,...
Related questions
Question
![li
No:..
Subject.
Date:
NEWTON'S LAW OF COOLING: SOLVING THE DIFFERENTIAL EQUAT) ONS
First order inifial value problem:
di = -k (T-Ts), I (0) = To,
dt
%3D
%3D
2-separate vatiables :
dT
ード dt
T-Ts
3- Integrate both sides of equation:
nIT-Ts '
e
-kナtC
:e
dt
-kt.e
T-Ts
T-ts = e
T=4ekt
tTe
In |T -Ts | = -kt † C
4 Apply the properties of natural logatīthms and simplifying :
-kt
T = Ts t Ae ". A = e°
C
No .
Subject:.
Date:
10.A thermomefer showing 10°C je broyght ibto a toom whose femperature is
27°C· After 5 Mīnutes , if shows 20°C - when will the thermometer
practically Feach the temperature 26°C 7 .](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fee6bdb27-6f3e-43ca-a7f6-968d76dbc0f5%2Fcfe0bf5f-9deb-4e1e-980f-a35d51e27648%2Fo9sv3lg.jpeg&w=3840&q=75)
Transcribed Image Text:li
No:..
Subject.
Date:
NEWTON'S LAW OF COOLING: SOLVING THE DIFFERENTIAL EQUAT) ONS
First order inifial value problem:
di = -k (T-Ts), I (0) = To,
dt
%3D
%3D
2-separate vatiables :
dT
ード dt
T-Ts
3- Integrate both sides of equation:
nIT-Ts '
e
-kナtC
:e
dt
-kt.e
T-Ts
T-ts = e
T=4ekt
tTe
In |T -Ts | = -kt † C
4 Apply the properties of natural logatīthms and simplifying :
-kt
T = Ts t Ae ". A = e°
C
No .
Subject:.
Date:
10.A thermomefer showing 10°C je broyght ibto a toom whose femperature is
27°C· After 5 Mīnutes , if shows 20°C - when will the thermometer
practically Feach the temperature 26°C 7 .
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