How can I calculate the power delivered using geothermal energy and an aquifer?

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SUMMARY

The discussion focuses on calculating the power delivered using geothermal energy and an aquifer, specifically utilizing the equation P = cmρJΔT. Here, ρ represents the density of water at 1000 kg/m³, while J and Cm are provided constants. The temperature difference ΔT is defined as Th - Ta, where Th is the hot water temperature and Ta is the ambient temperature. The key conclusion is that the energy lost by the water translates into the energy used for heating, emphasizing that power is the rate of energy delivery.

PREREQUISITES
  • Understanding of thermodynamics principles, specifically heat transfer.
  • Familiarity with the equation P = cmρJΔT.
  • Knowledge of geothermal energy systems and aquifer dynamics.
  • Basic algebra skills for manipulating equations.
NEXT STEPS
  • Research geothermal energy systems and their efficiency metrics.
  • Learn about heat transfer calculations in fluid dynamics.
  • Explore the impact of temperature differentials on energy delivery rates.
  • Investigate practical applications of aquifers in geothermal heating systems.
USEFUL FOR

Students in environmental science, engineers working with geothermal energy, and anyone involved in thermal energy calculations and aquifer management.

Donna14
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Homework Statement



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Homework Equations



I guess I need to do something with this equation:
P= cmρJΔT

ρ is then the density of water 1000m3/kg
J is given
Cm is given
But what to do with the temperatures... ΔT= Th-Ta? But then you get a negative number and the ask for the power delivered...
 

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Sounds like you have the right idea. The energy the water loses equates to that energy going to heating the house.

Don't forget that power = rate of delivering energy
 

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