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

Formula Used:

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

Reduced Molar Volume for P-R Method:

Wohl Parameter c:

Pressure of Gas (Pa):

Reduced Pressure:

Temperature of Real Gas (K):

Reduced Temperature:

Molar Volume of Real Gas (m³):

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1. What is Molar Volume of Real Gas?

Definition: Molar Volume of Real Gas is the volume occupied by one mole of a real gas at a specific temperature and pressure.

Purpose: This calculator determines the actual molar volume of a real gas using the Wohl equation and reduced parameters.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( V'_m \) — Molar Volume of Real Gas (m³)
\( V'_r \) — Reduced Molar Volume
\( c \) — 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 relates the actual molar volume to reduced parameters and the Wohl parameter c.

3. Importance of Molar Volume Calculation

Details: Accurate molar volume calculations are essential for gas storage, transportation, and industrial process design.

4. Using the Calculator

Tips: Enter all required parameters. Ensure temperature is in Kelvin and pressure in Pascals. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What are reduced parameters?
A: Reduced parameters are dimensionless quantities representing the ratio of actual conditions to critical conditions.

Q2: How do I obtain Wohl parameter c?
A: Wohl parameter c is typically determined experimentally or from critical properties of the gas.

Q3: What's the difference between ideal and real gas molar volume?
A: Real gases deviate from ideal behavior due to intermolecular forces and molecular volume, especially at high pressures and low temperatures.

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

Q5: What are typical units for molar volume?
A: Molar volume is typically expressed in cubic meters per mole (m³/mol) or liters per mole (L/mol).