Calculate Delta T expected from E transferred to internal heat of H2O

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SUMMARY

The discussion focuses on calculating the temperature increase (ΔT) of water when energy is transferred to its internal heat due to falling from a height of 365 meters. The law of conservation of energy is applied, where the kinetic energy gained by the water during the fall is converted into internal energy upon impact. The relevant equations include q = Lv m and q = m c ΔT, where q represents heat energy, m is mass, c is specific heat capacity, and ΔT is the temperature change. The problem emphasizes that the mass of water can be assumed to be 1.000 kg for simplification.

PREREQUISITES
  • Understanding of the law of conservation of energy
  • Familiarity with the equations of thermodynamics, specifically q = m c ΔT
  • Basic knowledge of kinetic energy calculations
  • Concept of specific heat capacity of water
NEXT STEPS
  • Calculate the kinetic energy of water using the formula KE = 0.5 m v²
  • Research the specific heat capacity of water (c) for accurate calculations
  • Explore the concept of latent heat (Lv) and its relevance in thermal energy transfer
  • Investigate practical applications of energy conservation in fluid dynamics
USEFUL FOR

Students studying physics, particularly those focusing on thermodynamics and energy conservation, as well as educators seeking to explain the principles of energy transfer in fluids.

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Homework Statement



Use the law of conservation of energy to calculate the temperature increase expected from energy transferred to internal heat of the water.
There is more than one way to do this. Consider a mass, m, of water which falls over the cascade. If you wish, you may take the mass of the water that you are considering to be 1.000 kg, though this is not essential. You should assume that there is no net transfer of energy between the mass of water that you are considering and the surrounding water and that all the kinetic energy of the water gained in the fall is transferred to internal energy as the water reaches the bottom of the waterfall.
The height of the drop is 365 m.
The question requires that q and c are unknown.

Homework Equations



q = Lv m
q = m c ΔT
any others that are needed?

The Attempt at a Solution



No idea where to start.
 
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Hint:

In the fall to the collection point, the water will gain velocity. You can easily determine its kinetic energy when it hits the collection point in a number of ways. Since energy is conserved, the kinetic energy changes form as motion ceases. It changes from kinetic energy to heat.
 

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