Critical Pressure of Real Gas given Wohl Parameter c and other Actual and Reduced Parameters Calculator

Critical Pressure Formula:

\[ P_c = \frac{c}{4 \times \left(\frac{T}{T_r}\right)^2 \times \left(\frac{V_m}{V_r}\right)^3} \]

Wohl Parameter c:

Temperature of Real Gas (T):

Reduced Temperature (T_r):

Molar Volume of Real Gas (V_m):

m³

Reduced Molar Volume (V_r):

m³

Critical Pressure (P_c):

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1. What is Critical Pressure of Real Gas?

Definition: Critical pressure is the minimum pressure required to liquefy a substance at its critical temperature.

Purpose: This calculator determines the critical pressure using the Wohl parameter c and other actual and reduced parameters of the gas.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ P_c = \frac{c}{4 \times \left(\frac{T}{T_r}\right)^2 \times \left(\frac{V_m}{V_r}\right)^3} \]

Where:

\( P_c \) — Critical pressure (Pascal)
\( c \) — Wohl parameter c
\( T \) — Temperature of real gas (Kelvin)
\( T_r \) — Reduced temperature (dimensionless)
\( V_m \) — Molar volume of real gas (m³)
\( V_r \) — Reduced molar volume (m³)

Explanation: The formula relates the Wohl parameter to critical pressure through temperature and volume ratios.

3. Importance of Critical Pressure Calculation

Details: Critical pressure is essential for understanding phase behavior and designing processes involving real gases at high pressures.

4. Using the Calculator

Tips: Enter all required parameters with appropriate units. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the Wohl parameter c?
A: It's an empirical parameter characteristic to the equation obtained from the Wohl model of real gas.

Q2: What are reduced parameters?
A: Reduced parameters are the actual properties divided by their critical values (e.g., T_r = T/T_c).

Q3: What units should I use?
A: Use Kelvin for temperature, cubic meters for volume, and the calculator returns pressure in Pascals.

Q4: How accurate is this calculation?
A: Accuracy depends on the Wohl model's suitability for your specific gas and conditions.

Q5: Can I use this for any gas?
A: The Wohl model works best for non-polar or slightly polar gases. For highly polar gases, other models may be more accurate.