Critical Molar Volume of Real Gas for Wohl Parameter c and other Actual and Reduced Parameters Calculator

Critical Molar Volume Formula:

\[ V'c = \left( \frac{c}{4 \times \left( \frac{Prg}{Pr} \right) \times \left( \left( \frac{Trg}{Tr} \right)^2 \right)} \right)^{1/3} \]

Wohl Parameter c:

Pressure of Gas (Prg):

Reduced Pressure (Pr):

Temperature of Real Gas (Trg):

Reduced Temperature (Tr):

Critical Molar Volume (m³/mol):

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1. What is Critical Molar Volume for Peng Robinson Model?

Definition: Critical Molar Volume is the volume occupied by gas at critical temperature and pressure per mole in the Peng-Robinson model.

Purpose: It's essential for thermodynamic calculations and understanding gas behavior near critical conditions.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V'c = \left( \frac{c}{4 \times \left( \frac{Prg}{Pr} \right) \times \left( \left( \frac{Trg}{Tr} \right)^2 \right)} \right)^{1/3} \]

Where:

\( V'c \) — Critical molar volume (m³/mol)
\( c \) — Wohl parameter (empirical parameter)
\( Prg \) — Pressure of gas (Pa)
\( Pr \) — Reduced pressure (dimensionless)
\( Trg \) — Temperature of real gas (K)
\( Tr \) — Reduced temperature (dimensionless)

Explanation: The formula calculates the critical volume based on Wohl parameter and the ratio of actual to reduced pressure and temperature.

3. Importance of Critical Molar Volume

Details: Critical properties are crucial for phase equilibrium calculations, process design, and understanding supercritical fluid behavior.

4. Using the Calculator

Tips: Enter all parameters (Wohl parameter c, gas pressure, reduced pressure, gas temperature, and reduced temperature). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the Wohl parameter c?
A: It's an empirical parameter characteristic to the Wohl equation of state for real gases.

Q2: How do I get reduced pressure and temperature?
A: Reduced pressure is actual pressure divided by critical pressure. Reduced temperature is actual temperature divided by critical temperature.

Q3: What units should I use?
A: Use Pascals for pressure, Kelvin for temperature, and the calculator will output m³/mol.

Q4: When is this calculation most useful?
A: For thermodynamic modeling of real gases, especially near critical conditions.

Q5: How accurate is this model?
A: The Peng-Robinson model provides good accuracy for many non-polar and slightly polar compounds.