Determine Enthelpy, Entropy, and Chemical Potential

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SUMMARY

The discussion focuses on calculating Enthalpy, Entropy, and Chemical Potential for nitrogen (N2) during an isothermal transition at 700K, with pressures of 1 bar and 100 bar. Participants emphasize that the only available data is specific heat capacity (Cp) values, and they are restricted from using equations of state like Benedict-Webb-Rubin or Beattie-Bridgeman. The equation provided, R*T (a + b v^-1 + c v^-2 + d v^-3), is highlighted as a potential method for deriving the necessary thermodynamic properties, although its application remains unclear to some users.

PREREQUISITES
  • Understanding of thermodynamic properties: Enthalpy, Entropy, and Chemical Potential
  • Knowledge of specific heat capacity (Cp) and its role in thermodynamic calculations
  • Familiarity with the ideal gas law and its limitations in real gas scenarios
  • Basic proficiency in applying thermodynamic equations and definitions
NEXT STEPS
  • Research the application of the equation R*T (a + b v^-1 + c v^-2 + d v^-3) in thermodynamic calculations
  • Study the derivation of Enthalpy (ΔH) and Entropy (ΔS) from specific heat capacity data
  • Explore alternative methods for calculating thermodynamic properties without using equations of state
  • Investigate the implications of isothermal processes on chemical potential and phase transitions
USEFUL FOR

Chemical engineers, thermodynamics students, and researchers involved in gas-phase thermodynamic calculations will benefit from this discussion.

deltasmile
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Homework Statement


Hello, i am given an isothermal transition for nitrogen, N2, where temperature is constant at 700K, p1=1bar, and p2=100bar.
For this problem i am not allowed to use any equations of states, such as Benedict-Webb-Rubin, or Beattie-Bridgeman. Rather i am given only Cp data, which is in the table below. From only this data below for nitrogen i must determine the Enthalpy, Entropy, and Chemical Potential for the transition phase.
I am also given the equation below, which I am not too sure how to apply it to the problem.

Homework Equations


R*T (a + b v^-1 + c v^-2 + d v^-3)
DIHRyEW.png
 
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Start with definitions of the ΔH, ΔS and ΔG.
 
What are dh, ds, and dg in terms of dT and dP?
 
##\Delta G## is easy, but I still haven't figured out how to get ##\Delta H## and ##\Delta S##. Are you sure this is the only information they give you? Do they provide any information at any other temperature?
 
I'm guessing that the expression appearing above the table is the functional form they are recommending for the pressure. This is the equation of state. Am I correct?
 
Last edited:

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