Wohl Parameter (b) of Real Gas using Wohl Equation Calculator

Wohl Parameter (b) Formula:

\[ b = V'_m - \frac{[R] \times T_{rg}}{P_{rg} + \frac{a}{T_{rg} \times (V'_m)^2} - \frac{c}{T_{rg}^2 \times (V'_m)^3}} \]

Molar Volume of Real Gas:

m³

Temperature of Real Gas:

Pressure of Gas:

Wohl Parameter (a):

Wohl Parameter (c):

Wohl Parameter (b):

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1. What is Wohl Parameter (b) of Real Gas?

Definition: Wohl parameter b is an empirical parameter characteristic to equation obtained from Wohl model of real gas.

Purpose: It helps in describing the behavior of real gases, accounting for molecular size and intermolecular forces.

2. How Does the Calculator Work?

The calculator uses the Wohl equation:

\[ b = V'_m - \frac{[R] \times T_{rg}}{P_{rg} + \frac{a}{T_{rg} \times (V'_m)^2} - \frac{c}{T_{rg}^2 \times (V'_m)^3}} \]

Where:

\( b \) — Wohl parameter b
\( V'_m \) — Molar Volume of Real Gas (m³)
\( T_{rg} \) — Temperature of Real Gas (K)
\( P_{rg} \) — Pressure of Gas (Pa)
\( a \) — Wohl parameter a
\( c \) — Wohl parameter c
\( [R] \) — Universal gas constant (8.314 J/mol·K)

Explanation: The equation calculates parameter b by considering the molar volume and adjusting for temperature, pressure, and other Wohl parameters.

3. Importance of Wohl Parameter Calculation

Details: Accurate calculation of Wohl parameters is essential for modeling real gas behavior in chemical engineering and thermodynamics applications.

4. Using the Calculator

Tips: Enter all required parameters in consistent units. The molar volume must be greater than zero, and temperature must be in absolute scale (Kelvin).

5. Frequently Asked Questions (FAQ)

Q1: What are typical values for Wohl parameters?
A: Parameters vary by gas. For example, for CO₂: a ≈ 0.365, b ≈ 0.0427, c ≈ 0.0009 (in appropriate units).

Q2: Why use Wohl equation instead of ideal gas law?
A: The Wohl equation accounts for real gas behavior at high pressures and low temperatures where ideal gas law fails.

Q3: What units should I use for pressure?
A: Use Pascals (Pa) for consistency with the universal gas constant in the equation.

Q4: Can this calculator be used for any gas?
A: Yes, but you need the correct Wohl parameters (a and c) for the specific gas you're working with.

Q5: What does a negative result mean?
A: Negative values for b are theoretically possible but may indicate input errors or extreme conditions.