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

Wohl Parameter (b) Formula:

\[ b = V'_{r} \times \left(\frac{V_{m}}{V'_{r}}\right) - \frac{[R] \times \left(T_{r} \times \frac{T_{rg}}{T_{r}}\right)}{P_{r} \times \left(\frac{P_{rg}}{P_{r}}\right) + \frac{a}{\left(T_{r} \times \frac{T_{rg}}{T_{r}}\right) \times \left(V'_{r} \times \frac{V_{m}}{V'_{r}}\right)^2} - \frac{c}{\left(T_{r} \times \frac{T_{rg}}{T_{r}}\right)^2 \times \left(V'_{r} \times \frac{V_{m}}{V'_{r}}\right)^3}} \]

Reduced Molar Volume (V'_r):

Molar Volume of Real Gas (V_m):

m³

Reduced Temperature (T_r):

Temperature of Real Gas (T_rg):

Reduced Pressure (P_r):

Pressure of Gas (P_rg):

Wohl Parameter (a):

Wohl Parameter (c):

Wohl Parameter (b):

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1. What is Wohl Parameter (b)?

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 by accounting for molecular volume and intermolecular forces.

2. How Does the Calculator Work?

The calculator uses the Wohl equation:

\[ b = V'_{r} \times \left(\frac{V_{m}}{V'_{r}}\right) - \frac{[R] \times T}{P + \frac{a}{T V^2} - \frac{c}{T^2 V^3}} \]

Where:

\( b \) — Wohl parameter b
\( V'_{r} \) — Reduced molar volume
\( V_{m} \) — Molar volume of real gas
\( T \) — Temperature terms (reduced and actual)
\( P \) — Pressure terms (reduced and actual)
\( a, c \) — Other Wohl parameters
\( [R] \) — Universal gas constant (8.314 J/mol·K)

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 reduced and actual values for volume, temperature, and pressure, along with Wohl parameters a and c.

5. Frequently Asked Questions (FAQ)

Q1: What are typical units for Wohl parameters?
A: Parameter b typically has units of m³/mol, but depends on the units used for other parameters in the equation.

Q2: How do I obtain reduced parameters?
A: Reduced parameters are calculated by dividing the actual parameter by its critical value (T_c, P_c, V_c).

Q3: When is the Wohl equation most useful?
A: For polar gases and high-pressure conditions where ideal gas law fails.

Q4: Can this calculator handle negative values?
A: No, all input values must be positive numbers.

Q5: What's the accuracy of this calculation?
A: Accuracy depends on the precision of input parameters and the applicability of the Wohl equation to your specific gas.