Reduced Temperature of Wohl's Real Gas Calculator

Reduced Temperature of Wohl's Real Gas given other Actual and Critical Parameters Calculator

Reduced Temperature Formula:

\[ T_r = \frac{T}{\frac{15 \times P_c \times V'_c}{4 \times [R]}} \]

Temperature of Real Gas:

Critical Pressure (Peng Robinson):

Critical Molar Volume (Peng Robinson):

m³/mol

Reduced Temperature:

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1. What is Reduced Temperature of Wohl's Real Gas?

Definition: Reduced temperature is the ratio of the actual temperature of a real gas to its critical temperature, providing a dimensionless parameter for thermodynamic calculations.

Purpose: It helps in the study of real gas behavior using corresponding states principle and is essential for Wohl's equation of state.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ T_r = \frac{T}{\frac{15 \times P_c \times V'_c}{4 \times [R]}} \]

Where:

\( T_r \) — Reduced temperature (dimensionless)
\( T \) — Actual temperature of real gas (Kelvin)
\( P_c \) — Critical pressure (Pascal)
\( V'_c \) — Critical molar volume (m³/mol)
\( [R] \) — Universal gas constant (8.314 J/mol·K)

Explanation: The formula relates the actual temperature to critical parameters through fundamental thermodynamic relationships.

3. Importance of Reduced Temperature

Details: Reduced temperature is crucial for predicting gas behavior at different conditions and is fundamental to corresponding states theory.

4. Using the Calculator

Tips: Enter the actual gas temperature in Kelvin, critical pressure in Pascals, and critical molar volume in m³/mol. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is the physical significance of reduced temperature?
A: It indicates how far the temperature is from the critical point, helping predict phase behavior and thermodynamic properties.

Q2: What are typical values for reduced temperature?
A: Values below 1 indicate subcritical conditions, while values above 1 indicate supercritical conditions.

Q3: How accurate is Wohl's equation compared to other equations of state?
A: Wohl's equation is moderately accurate for simple molecules but less precise than modern equations like Peng-Robinson for complex molecules.

Q4: Where can I find critical parameters for different gases?
A: Critical parameters are available in thermodynamic databases and chemical engineering handbooks.

Q5: Why use Peng-Robinson critical parameters in Wohl's calculation?
A: The formula derivation connects these models, but you can use experimentally determined critical parameters as well.