Step 2: Calculate alpha or a. It should be less than 1. Step 3: Plug-in the a, b, and alpha in the SRK equation and solve for V. Step 4: Once V is known, solve for Z. C. Peng-Robinson (PR) Hint: Write...

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Extracted text: Step 2: Calculate alpha or a. It should be less than 1. Step 3: Plug-in the a, b, and alpha in the SRK equation and solve for V. Step 4: Once V is known, solve for Z. C. Peng-Robinson (PR) Hint: Write the overall formula of the Peng Robinson. Step 1: Calculate the "a" and "b". The formulas for the "a" and "b" for Peng Robinson is provided in the slides, book, or pdf notes. You may need to refer to the handbook for some of the constants needed in the computation. Step 2: Calculate alpha or a. It should be less than 1. Step 3: Plug-in the a, b, and alpha in the PR equation and solve for V. Step 4: Once V is known, solve for Z.


Extracted text: Equation of States (EOS) are simply equations that help you predict the Pressure, Volume, or Temperature values of fluids at different conditions. If the two are known, the last one can be computed. There are many EOS. The simplest is the Ideal gas Law: PV=nRT. However, the value solved by this equation is quite far from the real value since real gases do not follow the assumption of the Ideal Gas found in the Kinetic Molecular Theory (e.g. real gases are not perfectly spherical). So instead, we use more powerful EOS for real gases. In this problem you are asked to solve the compressibility factor (2) and Volume (V) of ethylene (vapor) using different EOS - generalized correlation, Soave Redlich Kwong, and Peng Robinson. Please see the slides for the difference of the 3 EOS. Note that if Z = 1 the fluid is ideal gas. If Z is not equal to 1, the fluid is not ideal gas. Hence Z is a measure of departure of the gas from ideality. cm Calculate the Z and V mol, of ethylene (vapor) at 25°C and 12 bars. 83.1450 bar-cm3 Use R = Use the following methods: mol-K a. Expansion in P using up to 2nd virial coefficient taken from generalized correlation Hint: Step 1: Calculate the Tr (reduced Temperature) and Pr (reduced Pressure). Step 2: Calculate Bº and B'. Step 3: Calculate Z. Step 4: Calculate V. b. Soave (SRK) Hint: Write the overall formula of the SRK. Step 1: Calculate the "a" and "b". The formulas for the "a" and "b" for SRK is provided in the slides, book, or pdf notes. You may need to refer to the handbook for some of the constants needed in the computation.