Reduced Molar Volume of Real Gas given Wohl Parameter c and Actual and Reduced Parameters Calculator

Reduced Molar Volume Formula:

\[ V'_r = \frac{V'_m}{\left(\frac{c}{4 \times \left(\frac{P_{rg}}{P_r}\right) \times \left(\left(\frac{T_{rg}}{T_r}\right)^2\right)}\right)^{1/3}} \]

Molar Volume of Real Gas:

m³

Wohl Parameter c:

Pressure of Gas:

Reduced Pressure:

Temperature of Real Gas:

Reduced Temperature:

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 understanding and predicting the behavior of real gases under various conditions using the Peng-Robinson equation of state.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V'_r = \frac{V'_m}{\left(\frac{c}{4 \times \left(\frac{P_{rg}}{P_r}\right) \times \left(\left(\frac{T_{rg}}{T_r}\right)^2\right)}\right)^{1/3}} \]

Where:

\( V'_r \) — Reduced Molar Volume for P-R Method
\( V'_m \) — Molar Volume of Real Gas (m³)
\( c \) — Wohl parameter c
\( P_{rg} \) — Pressure of Gas (Pa)
\( P_r \) — Reduced Pressure
\( T_{rg} \) — Temperature of Real Gas (K)
\( T_r \) — Reduced Temperature

Explanation: The formula calculates the reduced molar volume by considering the actual gas properties and their reduced counterparts, along with the Wohl parameter.

3. Importance of Reduced Molar Volume Calculation

Details: This calculation is essential in thermodynamics for predicting gas behavior, designing chemical processes, and understanding phase equilibria.

4. Using the Calculator

Tips: Enter all required parameters with appropriate units. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is Wohl parameter c?
A: Wohl parameter c is an empirical parameter characteristic to equation obtained from Wohl model of real gas.

Q2: What are reduced properties?
A: Reduced properties are the ratio of actual properties to critical properties (pressure, temperature, volume).

Q3: Why use reduced properties in calculations?
A: Reduced properties allow for generalized correlations that can be applied to many substances.

Q4: What's the typical range for reduced temperature?
A: Reduced temperature typically ranges from 0.5 to 2.0 for most practical applications.

Q5: How accurate is this calculation?
A: Accuracy depends on the quality of input parameters and how well the substance follows the Peng-Robinson equation of state.