Reduced Molar Volume of Wohl's Real Gas Calculator

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

Formula Used:

\[ V'_r = \frac{V'_m}{\left(\frac{4 \cdot [R] \cdot \left(\frac{T_{rg}}{T_r}\right)}{15 \cdot \left(\frac{P_{rg}}{P_r}\right)}\right)} \]

Molar Volume of Real Gas (V'm):

m³

Temperature of Real Gas (T_rg):

Reduced Temperature (T_r):

Pressure of Gas (P_rg):

Reduced Pressure (P_r):

Reduced Molar Volume (V'_r):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Reduced Molar Volume of Wohl's Real Gas?

Definition: Reduced molar volume is a dimensionless quantity derived from the actual molar volume of a real gas using Wohl's equation of state, which accounts for deviations from ideal gas behavior.

Purpose: It helps in comparing the properties of different gases at corresponding states and is particularly useful in thermodynamic calculations for real gases.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V'_r = \frac{V'_m}{\left(\frac{4 \cdot [R] \cdot \left(\frac{T_{rg}}{T_r}\right)}{15 \cdot \left(\frac{P_{rg}}{P_r}\right)}\right)} \]

Where:

\( V'_r \) — Reduced molar volume (dimensionless)
\( V'_m \) — Molar volume of real gas (m³)
\( [R] \) — 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 the actual molar volume to reduced parameters through Wohl's equation of state, which accounts for molecular interactions in real gases.

3. Importance of Reduced Molar Volume Calculation

Details: Calculating reduced properties allows for the application of the principle of corresponding states, enabling predictions of gas behavior under various conditions.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of reduced parameters?
A: Reduced parameters allow comparison of different gases at the same relative conditions (relative to their critical points).

Q2: How do I obtain reduced temperature and pressure?
A: Reduced temperature is actual temperature divided by critical temperature. Reduced pressure is actual pressure divided by critical pressure.

Q3: What's the range for reduced molar volume?
A: It typically ranges between 0 and 1, where 1 represents the critical point.

Q4: How does Wohl's equation differ from van der Waals?
A: Wohl's equation includes additional terms to better account for molecular interactions, making it more accurate for certain conditions.

Q5: When would I need this calculation?
A: When working with real gases at high pressures or low temperatures where ideal gas law assumptions break down.