Peng-Robinson Eqn. of State, Thermo I

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To solve for the volume of a substance using the Peng-Robinson Equation of State, start by identifying the initial and final pressures and temperatures, ensuring the process is isothermal and frictionless. The equation P = (RT/V-b) - a(T)/(V(V-b)+b(V-b)) is utilized, where P is pressure, R is the gas constant, T is temperature, V is volume, and a and b are substance-specific parameters. Rearranging the equation allows for the calculation of volume based on the given conditions. It is essential to substitute the known values into the equation accurately. For detailed guidance, refer to the provided website link.
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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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