Actual Pressure of Real Gas given Wohl Parameter a, and Reduced and Actual Parameters Calculator

Pressure of Gas Formula:

\[ P_{gas} = P_{reduced} \times \left( \frac{a}{6 \times \left( \frac{T_{real}}{T_{reduced}} \right) \times \left( \left( \frac{V'_{m}}{V'_{r}} \right)^2 \right)} \right) \]

Reduced Pressure:

Wohl Parameter a:

Temperature of Real Gas (K):

Reduced Temperature:

Molar Volume of Real Gas (m³):

Reduced Molar Volume:

Pressure of Gas (Pa):

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1. What is Actual Pressure of Real Gas given Wohl Parameter a?

Definition: This calculator determines the actual pressure of a real gas using the Wohl equation of state, incorporating reduced and actual parameters.

Purpose: It helps in thermodynamic calculations where real gas behavior deviates from ideal gas assumptions.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ P_{gas} = P_{reduced} \times \left( \frac{a}{6 \times \left( \frac{T_{real}}{T_{reduced}} \right) \times \left( \left( \frac{V'_{m}}{V'_{r}} \right)^2 \right)} \right) \]

Where:

\( P_{gas} \) — Pressure of gas (Pascal)
\( P_{reduced} \) — Reduced pressure (dimensionless)
\( a \) — Wohl parameter a
\( T_{real} \) — Temperature of real gas (Kelvin)
\( T_{reduced} \) — Reduced temperature (dimensionless)
\( V'_{m} \) — Molar volume of real gas (m³)
\( V'_{r} \) — Reduced molar volume

Explanation: The formula accounts for non-ideal behavior of real gases through the Wohl parameter and reduced properties.

3. Importance of This Calculation

Details: Accurate pressure calculation is crucial for designing chemical processes, pipelines, and storage systems handling real gases.

4. Using the Calculator

Tips: Enter all required parameters. Ensure temperature is in Kelvin and volumes are in consistent units. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the Wohl parameter a?
A: It's an empirical parameter that characterizes the intermolecular forces in the Wohl equation of state for real gases.

Q2: How do I obtain reduced properties?
A: Reduced properties are obtained by dividing the actual property by its critical value (e.g., P_reduced = P/P_critical).

Q3: When is this calculation most useful?
A: For gases at high pressures or low temperatures where ideal gas law assumptions break down.

Q4: What units should be used?
A: Use consistent units - temperature in Kelvin, volumes in cubic meters, and pressure will be output in Pascals.

Q5: How accurate is this method?
A: The Wohl equation provides reasonable accuracy for many real gases, though more complex equations may be needed for precise calculations.