Wohl Parameter (a) of Real Gas using Wohl Equation given Actual and Critical Parameters Calculator

Wohl Parameter (a) Formula:

\[ a = \left( \frac{[R] \times T_r}{V_r - b} + \frac{c}{(T_r^2 \times V_r^3)} - P_r \right) \times (T_r \times V_r \times (V_r - b)) \]

Temperature of Real Gas (K):

Critical Temperature of Real Gas (K):

Molar Volume of Real Gas (m³):

Critical Molar Volume (m³/mol):

Wohl Parameter b:

Wohl Parameter c:

Pressure of Gas (Pa):

Critical Pressure (Pa):

Wohl Parameter (a):

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1. What is Wohl Parameter (a)?

Definition: Wohl parameter a 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 intermolecular forces and molecular size effects.

2. How Does the Calculator Work?

The calculator uses the Wohl equation:

\[ a = \left( \frac{[R] \times T_r}{V_r - b} + \frac{c}{(T_r^2 \times V_r^3)} - P_r \right) \times (T_r \times V_r \times (V_r - b)) \]

Where:

\( a \) — Wohl parameter a
\( [R] \) — Universal gas constant (8.314 J/mol·K)
\( T_r \) — Reduced temperature (actual/critical)
\( V_r \) — Reduced molar volume (actual/critical)
\( b \) — Wohl parameter b
\( c \) — Wohl parameter c
\( P_r \) — Reduced pressure (actual/critical)

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 including temperature, critical properties, molar volumes, and other Wohl parameters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What are typical values for Wohl parameters?
A: Parameters vary by gas. For example, for common gases, a ranges from 0.1 to 10 Pa·m⁶/mol².

Q2: Why do we need critical properties?
A: Critical properties define the reduced parameters which are essential in corresponding states theory.

Q3: What units should I use?
A: Use consistent SI units: Kelvin for temperature, m³ for volume, and Pascals for pressure.

Q4: How accurate is the Wohl equation?
A: It's reasonably accurate for many real gases but may need adjustment for highly polar or complex molecules.

Q5: Can I use this for liquids?
A: The Wohl equation is primarily for gases, though it can be adapted for dense fluids near critical points.