Conductive heat transfer through basement wall

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Homework Help Overview

The problem involves conductive heat transfer through a concrete basement wall in an electrically heated home, focusing on the temperature difference across the wall and the energy cost associated with heat conduction.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the calculation of heat transfer using the formula q=KAdeltaT/L, with attempts to determine the correct thermal conductivity value (k) for concrete. Questions arise regarding the source and units of the k value, as well as discrepancies in calculated hours for energy conduction.

Discussion Status

The discussion is ongoing, with participants questioning the validity of the k value used and exploring different sources for thermal conductivity. There is an acknowledgment of differing values for k and a suggestion to consult additional resources, indicating a productive exploration of the topic.

Contextual Notes

Participants note that the k value for concrete can vary significantly, and there is a reference to a source that provides a range for thermal conductivity values, highlighting the importance of accurate data in calculations.

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Homework Statement



In an electrically heated home, the temperature of the ground in contact with a concrete basement wall is 13.8oC. The temperature at the inside surface of the wall is 20.8oC. The wall is 0.118m thick and has an area of 9.43m2. Assume one kilowatt*hour of electrical energy costs $0.10. How many hours are required for one dollar's worth of energy to be conducted through the wall?

Homework Equations


q=KAdeltaT/L


The Attempt at a Solution

(1.7)*(9.43)*(20.8-13.8)/0.118=950.99 W $1=10000Whr
10000/950.99=1052 hrs...not working though?
 
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Where did you find your k value? And is it in the correct units?

-Mark

PS: You did mean to write 10.52 hrs I hope?
 
yes i mean to write that, I got 1.7 from online source, but someone else also used 1.5 but neither of those works?
 

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