The average rate at which energy is conducted outward through the ground surface in North America is 54.0 mW/m2, and the average thermal conductivity of the near surface rocks is 2.50 W/m K. Assuming a surface temperature of 10.0oC, find the temperature at a depth of 10.0 km. Ignore the heat generated by the presence of radioactive elements.
The average rate at which energy is conducted outward through the ground surface in North America is 54.0 mW/m2, and the average thermal conductivity of the near surface rocks is 2.50 W/m K. Assuming a surface temperature of 10.0oC, find the temperature at a depth of 10.0 km. Ignore the heat generated by the presence of radioactive elements.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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The average rate at which energy is conducted outward through the ground surface in North America is 54.0 mW/m2, and the average thermal conductivity of the near surface rocks is 2.50 W/m K. Assuming a surface temperature of 10.0oC, find the temperature at a depth of 10.0 km. Ignore the heat generated by the presence of radioactive elements.
Expert Solution
Step 1
The average rate at which energy is conducted outward through the ground surface is 54mW/m^2
Thermal conductivity k=2.50W/mk
Surface temperature =283k
Depth = 10×10^3m
Q = K A ( T - Ts ) / L
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