Solve Thermodynamics Problem: Change in Temp w/ Volume, Power & Specific Heat

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SUMMARY

The discussion revolves around calculating the change in temperature for a body in an isochoric process, given specific parameters such as volume, specific heat at constant volume (Cv), initial temperature, atmospheric pressure, and the power of a heater. The key equation used is dT = dq/Cv, where dq represents the heat added to the system. Participants emphasize the necessity of defining a time period to determine the heat change, as the power of the heater must be converted from Watts to Joules per hour to compute the temperature change over time.

PREREQUISITES
  • Understanding of isochoric processes in thermodynamics
  • Familiarity with specific heat capacity (Cv)
  • Knowledge of energy conversion from Watts to Joules
  • Basic grasp of internal energy concepts
NEXT STEPS
  • Research the relationship between power, energy, and time in thermodynamic systems
  • Learn how to use superheated steam tables for internal energy calculations
  • Study the derivation and application of the first law of thermodynamics
  • Explore practical examples of isochoric heating and temperature change calculations
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Students studying thermodynamics, engineers working with thermal systems, and anyone involved in energy management and heat transfer analysis.

tigertan
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Homework Statement



I'm getting a bit stuck with this problem..

Given a volume, it's specific heat at constant volume, an initial temperature, pressure (atmospheric) and the power of a heater within this volume, I am expected to calculate the change in temperature for the body.

Homework Equations


I understand that Cv=du/dT. I also understand that the volume doesn't change as it is an isochoric process.


We get dT= dq/Cv=du/Cv. I don't understnad how to get the heat value. I've converted the power of the heater from Watts to Joules per hour..
 
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From the data given you can calculate temperature change per time unit only (so you can say "temperature increased by ... °C per second", but not "temperature increased by ... °C").
 
how can i calculate the change of heat though, wiht what has been given to me?
 
am I expected to look up the internal energy on a superheated table and interpolate across to find the first internal energy?
 
tigertan said:
how can i calculate the change of heat though, wiht what has been given to me?

You can't without assuming some period of time.
 

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