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.
Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter2: Steady Heat Conduction
Section: Chapter Questions
Problem 2.60P
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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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