How to tell how fast temerature changes.

  • Context: Undergrad 
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SUMMARY

The discussion centers on determining the rate of temperature change in substances, specifically water. Key insights reveal that the heat equation, which combines conservation of energy principles with Fourier's law of heat conduction, is essential for understanding this dynamic. The specific heat capacity of water plays a crucial role in calculating temperature changes. Participants emphasize the importance of these concepts in accurately predicting thermal behavior.

PREREQUISITES
  • Understanding of the heat equation
  • Familiarity with Fourier's law of heat conduction
  • Knowledge of specific heat capacity
  • Basic principles of calorimetry
NEXT STEPS
  • Study the heat equation in detail
  • Research Fourier's law of heat conduction
  • Explore specific heat capacities of various substances
  • Learn about calorimetry applications in thermal analysis
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Students and professionals in physics, engineers involved in thermal management, and anyone interested in the principles of heat transfer and temperature dynamics.

avolaster
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I studied calorimetery in physics, but reflecting upon old equations i can't seem to find one that will tell me how long it takes to change the temerature of the substance. I'm mainly looking for how fast water will change temperature. I'm guessing that the rate in which it changes depends on the initial and final temerature, the mass maybe of each... i really don't know. if anyone knows an equation to this... I'm sure its simple and i just can't seem to find it. btw i did google it and had no luck. thanks ahead of time.
 
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I think he is asking about heat rates not steady heat transfer.

The dynamics are described using the heat equation which is essentially conservation of energy + fourier's conduction law. The rate of temperature change with time can be seen from that formula. Take a look:
http://en.wikipedia.org/wiki/Heat_equation
 

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