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https://texercises.com/exercise/terrestrial-heat/
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Exercise:
The temperature within the Earth's crust increases about .degreeCelsius for each m of depth. The thermal conductivity of the crust is .wattperkelvinpermeter. Determine the heat transferred from the erior to the surface for the entire Earth in one year.

Solution:
newqtyDT.K newqtydm newqtytod newqtyt.es newqtyL.wattperkelvinpermeter newqtyrem solqtyApi r^*pi*rn**squaremeter solqtyPlambdafracDelta Td pi r^Ln*DTn/dn*AnW solqtyQPf tPn*tnJ SolQtyQyQn*J Geg textEarthrightarrow r r Delta T DT d d lambda L t to t % GesHeatQ siJ % The area of the Earth's surface is al A Af piqtyr^ A. The heat flow through the outmost d is al varPhi J A Pf L fracDTd A P. % Thus the heat transferred in one day is al Q_ P t Qf Pt Q and Q_ Qy in one year. % Q Qf QyS Ausrufbox The calculated energy matches more or less the total primary energy contion of all humans on Earth in one year : It is around EJ i.e. eJ. Ausrufbox
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Exercise:
The temperature within the Earth's crust increases about .degreeCelsius for each m of depth. The thermal conductivity of the crust is .wattperkelvinpermeter. Determine the heat transferred from the erior to the surface for the entire Earth in one year.

Solution:
newqtyDT.K newqtydm newqtytod newqtyt.es newqtyL.wattperkelvinpermeter newqtyrem solqtyApi r^*pi*rn**squaremeter solqtyPlambdafracDelta Td pi r^Ln*DTn/dn*AnW solqtyQPf tPn*tnJ SolQtyQyQn*J Geg textEarthrightarrow r r Delta T DT d d lambda L t to t % GesHeatQ siJ % The area of the Earth's surface is al A Af piqtyr^ A. The heat flow through the outmost d is al varPhi J A Pf L fracDTd A P. % Thus the heat transferred in one day is al Q_ P t Qf Pt Q and Q_ Qy in one year. % Q Qf QyS Ausrufbox The calculated energy matches more or less the total primary energy contion of all humans on Earth in one year : It is around EJ i.e. eJ. Ausrufbox
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Attributes & Decorations
Branches
Temperatur & Heat
Tags
conductivity, earth, heat, loss, physics, thermal, thermodynamics
Content image
Difficulty
(3, default)
Points
4 (default)
Language
GER (Deutsch)
Type
Calculative / Quantity
Creator uz
Decoration
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Link