Temperature of the water in Fell Beck?

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SUMMARY

The discussion focuses on estimating the change in temperature of water in Fell Beck as it falls into the Gaping Gill pothole, which has a depth of 105 meters. The specific heat capacity of water is given as 4.2 kJ/(kg*K). The key equations involved are Q = C * ΔT for heat transfer and C = m * c for heat capacity. The solution approach emphasizes using conservation of energy principles, specifically comparing gravitational potential energy to kinetic energy, to determine the energy change and subsequently the temperature change.

PREREQUISITES
  • Understanding of specific heat capacity (4.2 kJ/(kg*K))
  • Knowledge of gravitational potential energy and kinetic energy concepts
  • Familiarity with the equations Q = C * ΔT and C = m * c
  • Basic algebra for solving equations
NEXT STEPS
  • Study the principles of conservation of energy in physics
  • Learn how to calculate gravitational potential energy and its conversion to kinetic energy
  • Explore specific heat capacity calculations in thermal physics
  • Practice problems involving temperature change due to energy transfer
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Students studying physics, particularly those focusing on thermodynamics and energy conservation, as well as educators seeking to enhance their teaching methods in these topics.

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Hello
I have a question from a multiple choice test and I am not sure what to do with it. It would be great if you could help me :)

Homework Statement



Estimate the change in temperature of the water in Fell Beck before and after it falls into the Gaping Gill pothole (depth 105 m). The specific heat capacity of water is 4.2 kJ/(kg*K).

A) 4 °C
B) 0.25 °C
C) 0.0025 °C
D) 9.2 * 10^-4 °C

Homework Equations



C = m * c

C: Heat capacity
c: Specific heat capacity

Q = C * ΔT

Q: Heat transfer

The Attempt at a Solution



I'm not really sure how to find the mass of the water? Or the energy?
The time I can find (105m = 1/2 * 10m/s^2 * t^2) and the rest I've got the formulas for.

Thank you for the help :)
 
Last edited:
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You can assume a particular quantity of water to work with. 1kg is a nice value :smile: Or you can work with "specific" values, which here means "per unit mass". So for example, the change in energy might be x Joules per kg. This bypasses having to deal with a particular value of mass.

Conservation of energy (gravitational potential energy vs kinetic energy) might be the quickest route to finding your energy due to the fall.
 
Thank you very much :)
 

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