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

Reduced Molar Volume Formula:

\[ V'_r = \frac{V'_m}{\left(\frac{4 \times [R] \times T'_c}{15 \times P_c}\right)} \]

Molar Volume of Real Gas:

m³

Critical Temperature of Real Gas:

Critical Pressure for Peng Robinson Model:

Reduced Molar Volume for P-R Method:

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1. What is Reduced Molar Volume for P-R Method?

Definition: Reduced Molar Volume for P-R Method of a fluid is computed from the ideal gas law at the substance's critical pressure and temperature per mole.

Purpose: It helps in thermodynamic calculations and analysis of real gases using the Peng-Robinson equation of state.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V'_r = \frac{V'_m}{\left(\frac{4 \times [R] \times T'_c}{15 \times P_c}\right)} \]

Where:

\( V'_r \) — Reduced Molar Volume for P-R Method
\( V'_m \) — Molar Volume of Real Gas (m³)
\( [R] \) — Universal gas constant (8.314 J/mol·K)
\( T'_c \) — Critical Temperature of Real Gas (K)
\( P_c \) — Critical Pressure (Pa)

Explanation: The formula relates the actual molar volume to the reduced molar volume using critical parameters and the universal gas constant.

3. Importance of Reduced Molar Volume Calculation

Details: Reduced properties are essential for applying corresponding states principle and for accurate thermodynamic modeling of real gases.

4. Using the Calculator

Tips: Enter the molar volume in m³, critical temperature in Kelvin, and critical pressure in Pascals. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the Peng-Robinson equation of state?
A: It's a cubic equation of state that describes the relationship between pressure, volume, and temperature for real gases.

Q2: Why use reduced properties?
A: Reduced properties allow for generalized correlations that can be applied to many substances.

Q3: What are typical critical temperature ranges?
A: Critical temperatures vary widely - from 33.2 K for hydrogen to over 1000 K for some heavy hydrocarbons.

Q4: How accurate is this calculation?
A: Accuracy depends on the quality of input parameters and how well the substance follows the Peng-Robinson model.

Q5: Can I use this for liquids?
A: The Peng-Robinson model can be used for both gases and liquids, but interpretation of results may differ.