Problem 2: A) Given the following temperature and pressures for CO2, plot the isotherm on a P-V diagram, indicating the phase envelop as well. Use the Peng-Robinson Equation of State to do this. Compound: CO 2, Temperature: 250K, Pressures of 0.0010, 0.10, 1.0, 1.7608, 2.0, 3.0, 10, 20, 30, 60, 100 Mpa. B) When cubic equations of state give three real roots for the compressibility factor, usually the smallest root is the liquid root and the largest is the vapor root. However, the Peng-Robinson EOS can give real roots at high pressure that differ from this pattern. To study this behavior, tabulate all of the roots for the specified gas and pressures given in part a). i) As the highest pressures are approached at the given temperature, is the fluid a liquid or a vapor? ii) Which real root (smallest, middle or largest) represents this phase at the highest pressure? iii) What are the compressibility factor values at the specified pressures? Please show your work for problem 2 wither with images of the excel sheet for each solution that you are discussing or the Matlab output.

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Problem 2:
A) Given the following temperature and pressures for CO2, plot the isotherm on a P-V diagram,
indicating the phase envelop as well. Use the Peng-Robinson Equation of State to do this.
Compound: CO 2, Temperature: 250K, Pressures of 0.0010, 0.10, 1.0, 1.7608, 2.0, 3.0, 10, 20, 30, 60,
100 Mpa.
B) When cubic equations of state give three real roots for the compressibility factor, usually the
smallest root is the liquid root and the largest is the vapor root. However, the Peng-Robinson EOS
can give real roots at high pressure that differ from this pattern. To study this behavior, tabulate all
of the roots for the specified gas and pressures given in part a).
i) As the highest pressures are approached at the given temperature, is the fluid a liquid or a vapor?
ii) Which real root (smallest, middle or largest) represents this phase at the highest pressure?
iii) What are the compressibility factor values at the specified pressures?
Please show your work for problem 2 wither with images of the excel sheet for each solution that you are discussing or
the Matlab output.
Transcribed Image Text:Problem 2: A) Given the following temperature and pressures for CO2, plot the isotherm on a P-V diagram, indicating the phase envelop as well. Use the Peng-Robinson Equation of State to do this. Compound: CO 2, Temperature: 250K, Pressures of 0.0010, 0.10, 1.0, 1.7608, 2.0, 3.0, 10, 20, 30, 60, 100 Mpa. B) When cubic equations of state give three real roots for the compressibility factor, usually the smallest root is the liquid root and the largest is the vapor root. However, the Peng-Robinson EOS can give real roots at high pressure that differ from this pattern. To study this behavior, tabulate all of the roots for the specified gas and pressures given in part a). i) As the highest pressures are approached at the given temperature, is the fluid a liquid or a vapor? ii) Which real root (smallest, middle or largest) represents this phase at the highest pressure? iii) What are the compressibility factor values at the specified pressures? Please show your work for problem 2 wither with images of the excel sheet for each solution that you are discussing or the Matlab output.
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