Heat Transfer (Conduction) problem

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SUMMARY

The discussion focuses on calculating the thermal energy transfer through a solid oak wall using the formula Q = k(A)(T2-T1)t/d. The wall dimensions are 10.0 cm thick, 3.00 m long, and 2.44 m high, with an inside temperature of 21.1°C and an outside temperature of -6.67°C. The coefficient of thermal conductivity for oak is 0.147 J/m·s·°C. A participant identifies a discrepancy in the area calculation, noting that the correct area should be 7.32 m² instead of the incorrectly stated 24 m².

PREREQUISITES
  • Understanding of heat transfer principles, specifically conduction.
  • Familiarity with the formula Q = k(A)(T2-T1)t/d.
  • Knowledge of thermal conductivity coefficients, particularly for materials like oak.
  • Basic skills in unit conversion, especially between hours and seconds.
NEXT STEPS
  • Research the derivation and application of the heat transfer equation Q = k(A)(T2-T1)t/d.
  • Explore the properties and thermal conductivity of various building materials.
  • Learn about calculating surface area for different geometric shapes relevant to heat transfer.
  • Investigate the impact of insulation on thermal energy transfer in buildings.
USEFUL FOR

Students studying thermodynamics, engineers involved in building design, and anyone interested in understanding heat transfer in construction materials.

toddler
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Homework Statement



Find the amount of thermal energy that flows per day through a solid oak wall 10.0 cm thick, 3.00 m long, and 2.44 m high, if the temp of the inside wall is 21.1 C while the temp of the outside wall is -6.67 C.

Homework Equations



Q= k(A)(T2-T1)t/d

coefficient of thermal conductivity for the oak is 1.47 x 10^-1


The Attempt at a Solution



This is a review question in my textbook and it shows:

=

(0.147 J/m s C) (24.0 m squared) (21.1 C - (-6.67 C))(24 hr)(3600 s/1 hr)
_______________________________________________________________
(0.100 m)




I understand the problem and the application, I am just unsure of how to get the area, A, for these problems. ...how did the 24 m^2 come about?
 
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Hmm... the question says the area is 3.00 * 2.44 = 7.32 m^2.

I think the "24 m^2" is a typo.
 

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