EXAMPLE 11.9Energy Transfer Through a Concrete WallGoal Apply the equation of heat conduction.Problem Find the energy transferred in 1.00 h by conduction through a concrete wall 2.0 m high, 3.65 mlong, and 0.20 m thick if one side of the wall is held at 20°C and the other side is at 5°C.Strategy P = kA(Th - Tc)/L gives the rate of energy transfer by conduction in joules per second.Multiply by the time and substitute given values to find the total thermal energy transferred.SOLUTIONQ = PAt = kA(Th - Tc /L)AtMultiply the energy transfer equationby At to find an expression for the totalenergy Q transferred through the wall.Substitute the numerical values toQ = (1.3 J/s · m °C)(7.3 m²)(15°C/0.20 m)(3600 s) =2.6 x 106 Jobtain Q, consulting the table for k.LEARN MORERemarks Early houses were insulated with thick masonry walls, which restrict energy loss by conductionbecause k is relatively low. The large thickness L also decreases energy loss by conduction, as shown byenergy transfer equation. There are much better insulating materials, however, and layering is alsohelpful. Despite the low thermal conductivity of masonry, the amount of energy lost is still rather large,enough to raise the temperature of 600 kg of water by more than 1°C.Question True or False: Materials having high thermal conductivities provide better insulation thanmaterials having low thermal conductivities.False. A good insulator does not transfer energy by heat readily through it, and has low thermalconductivity.True. The rate of heat flow in a material is proportional to its thermal conductivity.True. Thermal conductivity measures a material's usefulness as heat insulation.False. A good insulator transfers energy by heat effectively, and has low thermal conductivity.PRACTICE ITUse the worked example above to help you solve this problem. Find the energy transferred in 1 h byconduction through a concrete wall 2.3 m high, 3.20 m long, and 0.20 m thick if one side of the wall isheld at 20°C and the other side is at 5°C.1391040Your response differs from the correct answer by more than 10%. Double check your calculations. JEXERCISEHINTS:GETTING STARTED| I'M STUCK!A wooden shelter has walls constructed of wooden planks 1.00 cm thick. If the exterior temperature is-20.0°C and the interior is 5.00°C, find the rate of energy loss through a wall that has dimensions 1.95 mby 2.30 m.2466Do not follow the example too closely. What question is asked in the example? What question is asked inthis exercise? How are these related? W

Answered: Image /qna-images/answer/ad1dc1e0-c059-4db5-ba4d-6f59c7228ee5.jpg

Use the worked example above to help you solve this problem. Find the energy transferred in 1 h by conduction through a concrete wall 2.3 m high, 3.20 m long, and 0.20 m thick if one side of the wall is held at 20°C and the other side is at 5°C. 1391040 X Your response differs from the correct answer by more than 10%. Double check your calculations. J

Use the worked example above to help you solve this problem. Find the energy transferred in 1 h by conduction through a concrete wall 2.3 m high, 3.20 m long, and 0.20 m thick if one side of the wall is held at 20°C and the other side is at 5°C. 1391040 X Your response differs from the correct answer by more than 10%. Double check your calculations. J

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Energy transfer

The flow of energy from one region to another region is referred to as energy transfer. Since energy is quantitative; it must be transferred to a body or a material to work or to heat the system.

Molar Specific Heat

Heat capacity is the amount of heat energy absorbed or released by a chemical substance per the change in temperature of that substance. The change in heat is also called enthalpy. The SI unit of heat capacity is Joules per Kelvin, which is (J K-1)

Thermal Properties of Matter

Thermal energy is described as one of the form of heat energy which flows from one body of higher temperature to the other with the lower temperature when these two bodies are placed in contact to each other. Heat is described as the form of energy which is transferred between the two systems or in between the systems and their surrounding by the virtue of difference in temperature. Calorimetry is that branch of science which helps in measuring the changes which are taking place in the heat energy of a given body.

Question

EXAMPLE 11.9
Energy Transfer Through a Concrete Wall
Goal Apply the equation of heat conduction.
Problem Find the energy transferred in 1.00 h by conduction through a concrete wall 2.0 m high, 3.65 m
long, and 0.20 m thick if one side of the wall is held at 20°C and the other side is at 5°C.
Strategy P = kA(Th - Tc)/L gives the rate of energy transfer by conduction in joules per second.
Multiply by the time and substitute given values to find the total thermal energy transferred.
SOLUTION
Q = PAt = kA(Th - Tc /L)At
Multiply the energy transfer equation
by At to find an expression for the total
energy Q transferred through the wall.
Substitute the numerical values to
Q = (1.3 J/s · m °C)(7.3 m²)(15°C/0.20 m)(3600 s) =
2.6 x 106 J
obtain Q, consulting the table for k.
LEARN MORE
Remarks Early houses were insulated with thick masonry walls, which restrict energy loss by conduction
because k is relatively low. The large thickness L also decreases energy loss by conduction, as shown by
energy transfer equation. There are much better insulating materials, however, and layering is also
helpful. Despite the low thermal conductivity of masonry, the amount of energy lost is still rather large,
enough to raise the temperature of 600 kg of water by more than 1°C.
Question True or False: Materials having high thermal conductivities provide better insulation than
materials having low thermal conductivities.
False. A good insulator does not transfer energy by heat readily through it, and has low thermal
conductivity.
True. The rate of heat flow in a material is proportional to its thermal conductivity.
True. Thermal conductivity measures a material's usefulness as heat insulation.
False. A good insulator transfers energy by heat effectively, and has low thermal conductivity.
PRACTICE IT
Use the worked example above to help you solve this problem. Find the energy transferred in 1 h by
conduction through a concrete wall 2.3 m high, 3.20 m long, and 0.20 m thick if one side of the wall is
held at 20°C and the other side is at 5°C.
1391040
Your response differs from the correct answer by more than 10%. Double check your calculations. J
EXERCISE
HINTS:
GETTING STARTED
| I'M STUCK!
A wooden shelter has walls constructed of wooden planks 1.00 cm thick. If the exterior temperature is
-20.0°C and the interior is 5.00°C, find the rate of energy loss through a wall that has dimensions 1.95 m
by 2.30 m.
2466
Do not follow the example too closely. What question is asked in the example? What question is asked in
this exercise? How are these related? W

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