A thermometer is taken from a room where the temperature is 18°C to the outdoors, where the temperature is -13°C. After one minute the thermometer | reads 2° C. (a) What will the reading on the thermometer be after 4 more minutes? (b) When will the thermometer read -12°C? minutes after it was taken to the outdoors.

PREALGEBRA
15th Edition
ISBN:9781938168994
Author:OpenStax
Publisher:OpenStax
Chapter5: Decimals
Section5.2: Decimal Operations
Problem 199E: In the 2010 winter Olympics, two skiers took the silver and bronze medals in the Men's Super-G ski...
icon
Related questions
icon
Concept explainers
Topic Video
Question
A thermometer is taken from a room
where the temperature is
18°C to the outdoors, where the temperature is
-13°C. After one minute the thermometer
reads
2° C.
(a) What will the reading on the thermometer be
after
4 more minutes?
(b) When will the thermometer read
-12°C?
minutes after it
was taken to the outdoors.
Transcribed Image Text:A thermometer is taken from a room where the temperature is 18°C to the outdoors, where the temperature is -13°C. After one minute the thermometer reads 2° C. (a) What will the reading on the thermometer be after 4 more minutes? (b) When will the thermometer read -12°C? minutes after it was taken to the outdoors.
Expert Solution
Step 1

By Newton's Law of cooling, it is known that, Tt=Ts+Cekt where Tt is the temperature after t minutes and  Ts is the  temperature of the surroundings.

Here, Ts=-13°C.

The initial temperature on the thermometer is 18°C. That is, T0=18°C.

Therefore, 

T0=Ts+Cek018=-13+CC=18+13=31

That is, C=31.

 

 

 

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
PREALGEBRA
PREALGEBRA
Algebra
ISBN:
9781938168994
Author:
OpenStax
Publisher:
OpenStax
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Elementary Algebra
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax