Reduced Molar Volume of Wohl's Real Gas given other Actual and Critical Parameters Calculator

Reduced Molar Volume Formula:

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

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: This calculation is essential in thermodynamics for understanding and predicting the behavior of real gases under various conditions.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( V'_r \) — Reduced Molar Volume for P-R Method
\( V'_m \) — Molar Volume of Real Gas (m³)
\( [R] \) — Universal gas constant (8.31446261815324)
\( T'_c \) — Critical Temperature of Real Gas (K)
\( P'_c \) — Critical Pressure for Peng Robinson Model (Pa)

Explanation: The formula relates the actual molar volume to the critical parameters of the substance through the universal gas constant.

3. Importance of Reduced Molar Volume Calculation

Details: This calculation is crucial for engineers and scientists working with real gases, particularly in processes involving high pressures and temperatures.

4. Using the Calculator

Tips: Enter the molar volume of real gas in cubic meters, critical temperature in Kelvin, and critical pressure in Pascals. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of reduced properties in thermodynamics?
A: Reduced properties allow for the comparison of different substances at equivalent states, facilitating generalized correlations.

Q2: How does this differ from ideal gas calculations?
A: This accounts for real gas behavior, particularly important near the critical point where ideal gas assumptions fail.

Q3: What are typical values for critical temperature and pressure?
A: These vary widely by substance (e.g., water: 647 K, 22.06 MPa; nitrogen: 126 K, 3.39 MPa).

Q4: Can this calculator be used for any gas?
A: Yes, as long as you have the correct critical parameters for the specific gas.

Q5: What are common applications of this calculation?
A: Used in chemical process design, petroleum engineering, and thermodynamic research involving real gases.