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

Critical Molar Volume Formula:

\[ V'_c = \frac{4[R](\frac{T_{rg}}{T_r})}{15(\frac{P_{rg}}{P_r})} \]

Temperature of Real Gas:

Reduced Temperature:

Pressure of Gas:

Reduced Pressure:

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: This calculation is essential in thermodynamics for predicting gas behavior under various conditions using the Peng-Robinson equation of state.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V'_c = \frac{4[R](\frac{T_{rg}}{T_r})}{15(\frac{P_{rg}}{P_r})} \]

Where:

\( V'_c \) — Critical molar volume (m³/mol)
\( [R] \) — Universal gas constant (8.314 J/mol·K)
\( T_{rg} \) — Temperature of real gas (K)
\( T_r \) — Reduced temperature (dimensionless)
\( P_{rg} \) — Pressure of gas (Pa)
\( P_r \) — Reduced pressure (dimensionless)

Explanation: The formula relates actual and reduced parameters to determine the critical molar volume in the Peng-Robinson model.

3. Importance of Critical Molar Volume Calculation

Details: Accurate calculation of critical molar volume is crucial for designing chemical processes, predicting phase behavior, and modeling thermodynamic properties of real gases.

4. Using the Calculator

Tips: Enter the temperature of real gas in Kelvin, reduced temperature, gas pressure in Pascals, and reduced pressure. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is reduced temperature?
A: Reduced temperature is the ratio of the actual temperature to the critical temperature of the substance.

Q2: What is reduced pressure?
A: Reduced pressure is the ratio of the actual pressure to the critical pressure of the substance.

Q3: Why is the universal gas constant used?
A: The universal gas constant provides the necessary proportionality between thermodynamic quantities in the equation.

Q4: What are typical values for reduced parameters?
A: Reduced parameters are typically between 0 and 1 for subcritical conditions, but can exceed 1 for supercritical conditions.

Q5: How accurate is this calculation?
A: This provides a theoretical value based on the Peng-Robinson model. Actual values may vary depending on the specific gas and conditions.