If the average temperature of the Earth's surface is 15 C, then the How much heat do gold miners of Robinson Deep have to endure?
Hint : For Every 33 meter inside the earth's interior the temperature increase 1
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Class 11>>Physics>>Thermal Properties of Matter>>Conduction>>On the average, the temperature of the e
Question
On the average, the temperature of the earth' s crust increases 1oC for every 30 m of depth. The average thermal conductivity of the earth's crust is 0.75 J/m s K. Solar constant is 1.35kW/m2. Match the items in Column I with that in Column II:
List 1i. Heat lost by the core of the earth per second due to conduction (in W)ii. Heat received by the earth per second from the sun (in W)ii. If e = 1, average surface temperature of the earth in equilibrium (in K)iv. Ratio of heat lost by the earth to the heat received from the sun
List 22767.5×10−51.3×10131.7×1017
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Solution
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Solar constant = 1.35kW/m2
Thermal conductivity of earth's crust = 0.75 J/s m K
Heat transferred per second is
dtdQ=−K(4πr2)drdT
r=Re=6400km
−drdT=−30m1oC
Heat lost by the earth per second due to conduction from the core
dtdQ=(msK0.75J×4π)×(6400×103m)230m1oC