A thermometer is taken from a room where the temperature is 18°C to the outdoors, where thetemperature is -12°C. After one minute the thermometer reads 9°C.(a) What will the reading on the thermometer be after 3 more minutes?-1.7(b) When will the thermometer read -11°C?minutes after it was taken to the outdoors.

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Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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A thermometer is taken from a room where the temperature is 18°C to the outdoors, where the
temperature is -12°C. After one minute the thermometer reads 9°C.
(a) What will the reading on the thermometer be after 3 more minutes?
-1.7
(b) When will the thermometer read -11°C?
minutes after it was taken to the outdoors.

Expert Solution

Step 1: Given details

The rate at which a body’s temperature changes is directly proportional to the temperature difference between the body and its surroundings.

The formula for the Newton's law of cooling is expressed as $bold italic T bold italic left parenthesis bold italic t bold italic right parenthesis bold italic equals bold italic T subscript bold italic S bold italic plus bold italic left parenthesis bold italic T subscript bold italic o bold italic minus bold italic T subscript bold italic s bold italic right parenthesis bold italic e to the power of bold italic minus bold italic lambda bold italic t end exponent bold italic rightwards arrow bold italic left parenthesis bold italic 1 bold italic right parenthesis$

Here,T(t) is the temperature of the object at a certain time t

T_s is the temperature of the surroundings. T_o is the initial temperature and $lambda$ is the cooling constant.

Provided, temperature of the surroundings(T_s) is -12^oC and initial temperature is 18^oC(T_o)

After one minute the thermometer reads 9 degrees C. i.e. $bold italic t subscript bold italic 60 bold italic space bold italic s bold italic e bold italic c end subscript bold italic equals bold italic 9 to the power of bold italic o bold italic C$

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Follow-up Question

Entered
-1.72
9.53
Answer Preview
At least one of the answers above is NOT correct.
-1.72
9.53
Result
(b) When will the thermometer read -11°C?
9.53 minutes after it was taken to the outdoors.
incorrect
correct
A thermometer is taken from a room where the temperature is 18°C to the outdoors, where the
temperature is -12°C. After one minute the thermometer reads 9°C.
(a) What will the reading on the thermometer be after 3 more minutes?
-1.72

Solution

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Follow-up Question

Entered
-4.79
9.53
Answer Preview
At least one of the answers above is NOT correct.
-4.79
9.53
Result
incorrect
correct
A thermometer is taken from a room where the temperature is 18°C to the outdoors, where the
temperature is -12°C. After one minute the thermometer reads 9°C.
(a) What will the reading on the thermometer be after 3 more minutes?
-4.79
(b) When will the thermometer read -11°C?
9.53 minutes after it was taken to the outdoors.

Solution

by Bartleby Expert

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