Peng-Robinson Eqn. of State, Thermo I

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SUMMARY

The discussion focuses on solving for the volume of a substance using the Peng-Robinson Equation of State (EOS). The equation is defined as P = (RT/V-b) - a(T)/(V(V-b)+b(V-b)), where P represents pressure, R is the gas constant, T is temperature, V is volume, and a and b are substance-specific constants. The problem is framed under isothermal conditions with specified initial and final pressures and temperatures, assuming a frictionless and reversible process. A reference link is provided for further guidance on applying the Peng-Robinson EOS.

PREREQUISITES
  • Understanding of the Peng-Robinson Equation of State
  • Knowledge of thermodynamic principles, particularly isothermal processes
  • Familiarity with gas constants and their applications
  • Basic algebraic manipulation skills for solving equations
NEXT STEPS
  • Study the derivation and application of the Peng-Robinson Equation of State
  • Explore the impact of substance-specific constants 'a' and 'b' on volume calculations
  • Learn about other equations of state for comparison, such as the Redlich-Kwong EOS
  • Investigate numerical methods for solving complex thermodynamic equations
USEFUL FOR

This discussion is beneficial for chemical engineers, thermodynamics students, and professionals involved in process design and optimization who require a solid understanding of the Peng-Robinson Equation of State for volume calculations.

Razorback
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Could you please give me a walk through on how to solve for volume of a substance using the Peng-Robinson Equation of State, given:

1. initial and final pressure
2. initial and final temperature (it is an isotherm)
3. it is frictionless (all work is reversible)

P= (RT/V-b)-a(T)/(V(V-b)+b(V-b))
 
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You can check out the website and the link below to get an idea how to solve for volume of a substance using the Peng-Robinson Equation of State:

http://eq-comp.com/peng-robinson-cubic-equation-of-state.htm"
 
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