Reduced Temperature of Real Gas using Wohl Equation given Reduced and Critical Parameters Calculator

Reduced Temperature Formula (Wohl Equation):

\[ T_r = \frac{[R]}{\left((P_r \times P_c) + \left(\frac{a}{(V'_r \times V'_c) \times ((V'_r \times V'_c) - b)}\right) - \left(\frac{c}{((V'_r \times V'_c)^3)}\right)\right) \times ((V'_r \times V'_c) - b)} / T_c \]

Reduced Pressure (Pr):

Critical Pressure (Pc):

Wohl Parameter a:

Reduced Molar Volume (V'r):

Critical Molar Volume (V'c):

m³/mol

Wohl Parameter b:

Wohl Parameter c:

Critical Temperature (Tc):

Reduced Temperature (Tr):

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1. What is Reduced Temperature using Wohl Equation?

Definition: This calculator determines the reduced temperature of a real gas using the Wohl equation, which accounts for deviations from ideal gas behavior.

Purpose: It helps in thermodynamic calculations for real gases, particularly in chemical engineering and physical chemistry applications.

2. How Does the Calculator Work?

The calculator uses the Wohl equation:

Where:

\( T_r \) — Reduced temperature (dimensionless)
\( [R] \) — Universal gas constant (8.314 J/mol·K)
\( P_r \) — Reduced pressure (dimensionless)
\( P_c \) — Critical pressure (Pa)
\( V'_r \) — Reduced molar volume (dimensionless)
\( V'_c \) — Critical molar volume (m³/mol)
\( a, b, c \) — Wohl parameters
\( T_c \) — Critical temperature (K)

3. Importance of Reduced Temperature Calculation

Details: Reduced temperature is crucial for determining gas behavior under various conditions and is fundamental in corresponding states principle applications.

4. Using the Calculator

Tips: Enter all required parameters including reduced pressure, critical pressure, Wohl parameters (a, b, c), reduced molar volume, critical molar volume, and critical temperature.

5. Frequently Asked Questions (FAQ)

Q1: What are typical values for Wohl parameters?
A: Parameters vary by substance. For example, for CO₂: a ≈ 3.59, b ≈ 0.0427, c ≈ 2.30 (units depend on equation form).

Q2: How do I obtain reduced pressure and volume?
A: Reduced values are actual values divided by their critical counterparts (Pr = P/Pc, Vr = V/Vc).

Q3: Why use reduced temperature?
A: It allows comparison of different gases at equivalent states relative to their critical points.

Q4: What's the range for reduced temperature?
A: Typically 0 to 2, where 1 represents the critical temperature.

Q5: How accurate is the Wohl equation?
A: It's reasonably accurate for many real gases but may need modification for polar substances.