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

Temperature of Real Gas Formula:

\[ T_{rg} = T_r \times \sqrt{\frac{c}{4 \times P_c \times (V'_c)^3}} \]

Reduced Temperature:

Wohl Parameter c:

Critical Pressure (P_c):

Critical Molar Volume (V'_c):

m³/mol

Temperature of Real Gas:

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1. What is Actual Temperature of Real Gas given Wohl Parameter c?

Definition: This calculator determines the actual temperature of a real gas using the Wohl parameter c, reduced temperature, and critical properties.

Purpose: It helps in thermodynamic calculations for real gases where ideal gas assumptions don't apply.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ T_{rg} = T_r \times \sqrt{\frac{c}{4 \times P_c \times (V'_c)^3}} \]

Where:

\( T_{rg} \) — Temperature of real gas (Kelvin)
\( T_r \) — Reduced temperature (dimensionless)
\( c \) — Wohl parameter c
\( P_c \) — Critical pressure (Pascal)
\( V'_c \) — Critical molar volume (m³/mol)

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

3. Importance of Accurate Temperature Calculation

Details: Correct temperature determination is crucial for process design, safety calculations, and understanding gas behavior under various conditions.

4. Using the Calculator

Tips: Enter the reduced temperature, Wohl parameter c, critical pressure in Pascals, and critical molar volume in m³/mol. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is reduced temperature?
A: Reduced temperature is the ratio of the actual temperature to the critical temperature of the substance.

Q2: How do I find the Wohl parameter c?
A: Wohl parameters are typically determined experimentally or from thermodynamic tables for specific substances.

Q3: What are typical values for critical properties?
A: These vary by substance. For example, water has Pc ≈ 22.06 MPa and V'c ≈ 0.056 m³/kmol.

Q4: Why does this formula include critical properties?
A: Critical properties help characterize the non-ideal behavior of real gases near their critical points.

Q5: Can this be used for all gases?
A: This is specific to the Wohl equation of state. Other equations may require different parameters.