Wohl Parameter (c) of Real Gas using Wohl Equation given Actual and Reduced Parameters Calculator

Wohl Parameter (c) Formula:

\[ c = \left( P_r \times \frac{P_{rg}}{P_r} - \frac{R \times (T_r \times \frac{T_{rg}}{T_r})}{(V'_r \times \frac{V_m}{V'_r}) - b} + \frac{a}{(T_r \times \frac{T_{rg}}{T_r}) \times (V'_r \times \frac{V_m}{V'_r}) \times ((V'_r \times \frac{V_m}{V'_r}) - b)} \right) \times \left( (T_r \times \frac{T_{rg}}{T_r})^2 \times (V'_r \times \frac{V_m}{V'_r})^3 \right) \]

Reduced Pressure (P_r):

Pressure of Gas (P_rg) (Pa):

Reduced Temperature (T_r):

Temperature of Real Gas (T_rg) (K):

Reduced Molar Volume (V'_r):

Molar Volume of Real Gas (V_m) (m³):

Wohl Parameter (b):

Wohl Parameter (a):

Wohl Parameter (c):

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1. What is Wohl Parameter (c)?

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

Purpose: It's used in the Wohl equation of state to describe the behavior of real gases, accounting for intermolecular forces and molecular volume.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

\( c \) — Wohl parameter c
\( P_r \) — Reduced Pressure (dimensionless)
\( P_{rg} \) — Pressure of Gas (Pascal)
\( R \) — Universal gas constant (8.314 J/mol·K)
\( T_r \) — Reduced Temperature (dimensionless)
\( T_{rg} \) — Temperature of Real Gas (Kelvin)
\( V'_r \) — Reduced Molar Volume
\( V_m \) — Molar Volume of Real Gas (m³)
\( a, b \) — Other Wohl parameters

3. Importance of Wohl Parameter (c)

Details: The Wohl parameter c helps in accurately modeling real gas behavior, especially at high pressures where ideal gas law fails.

4. Using the Calculator

Tips: Enter all required parameters. Default values are provided for reference. 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 methane: a ≈ 2.303, b ≈ 0.0428, c ≈ 0.000557.

Q2: How do I get reduced parameters?
A: Reduced parameters are actual values divided by critical values (P_c, T_c, V_c).

Q3: When is the Wohl equation most accurate?
A: It works well for moderately high pressures but may need modification for very high pressures.

Q4: What units should I use?
A: Use consistent SI units: Pascals for pressure, Kelvin for temperature, m³ for volume.

Q5: Can this be used for liquid phases?
A: The Wohl equation is primarily for gases, though modified forms can model liquid behavior.