Finding Formulas for Heat Capacity

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SUMMARY

The discussion focuses on finding specific formulas for the heat capacity of substances such as Aluminum (Al), Iron (Fe), Barium Titanate (BaTiO3), and Polyethylene within the temperature range of 298K to 600K. The desired formula format is c = A + BT + CT-2 + DT-3, where c represents heat capacity and A, B, C, D are constants. The user seeks guidance on locating these formulas and inquires about recommended resources, indicating a need for actual functional equations rather than just tabulated values.

PREREQUISITES
  • Understanding of thermodynamics principles
  • Familiarity with heat capacity concepts
  • Knowledge of polynomial equations
  • Basic programming skills for implementing formulas
NEXT STEPS
  • Research "Heat Capacity Equations for Metals and Polymers"
  • Explore "Thermodynamics Textbooks" for detailed formulas
  • Investigate "Online Databases for Material Properties" like NIST
  • Learn about "Polynomial Regression for Thermodynamic Data" to derive constants
USEFUL FOR

Students in thermodynamics courses, researchers in material science, and software developers creating simulations related to heat capacity and thermodynamic properties.

Vivamus
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Homework Statement



I'm needing to write a program for thermodynamics, but before I can write the program, I need to find formulas for the heat capacity of a few substances: Al, Fe, BaTiO3, and Polyethylene. Ideally, I'm looking for equations that explain this behavior between 298K and 600K

Homework Equations



The formula I'm looking for is usually in the following form:
c = A+BT + CT-2 + DT-3

or something similar where:
c= heat capacity
T = temperature
A,B,C,D are constants

The Attempt at a Solution



I have spent some time on google, but either I'm not phrasing my search correctly or am looking in the wrong place. Does anyone have any advice on how to find these formulas? I am at a college university, so are there any good books I should check out on this matter? Thank you for any helps you can offer.
 
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rock.freak667 said:
or do you need an actual function to do it?

Unfortunately, I do need the actual function to write this program. :(
 

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