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

Reduced Temperature Formula (Wohl Equation):

\[ T_r = \frac{[R]}{\left(P_{rg} + \frac{a}{V_m(V_m-b)} - \frac{c}{V_m^3}\right)(V_m-b)} \div T'_c \]

Pressure of Gas:

Wohl Parameter a:

Wohl Parameter b:

Wohl Parameter c:

Molar Volume:

m³/mol

Critical Temperature:

Reduced Temperature:

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1. What is Reduced Temperature using Wohl Equation?

Definition: Reduced temperature is the ratio of the actual temperature of a real gas to its critical temperature, calculated using the Wohl equation of state.

Purpose: This dimensionless quantity helps in comparing the thermodynamic properties of different gases at corresponding states.

2. How Does the Calculator Work?

The calculator uses the Wohl equation formula:

\[ T_r = \frac{[R]}{\left(P_{rg} + \frac{a}{V_m(V_m-b)} - \frac{c}{V_m^3}\right)(V_m-b)} \div T'_c \]

Where:

\( T_r \) — Reduced temperature (dimensionless)
\( [R] \) — Universal gas constant (8.314 J/mol·K)
\( P_{rg} \) — Pressure of gas (Pascal)
\( a, b, c \) — Wohl parameters (empirical constants)
\( V_m \) — Molar volume (m³/mol)
\( T'_c \) — Critical temperature (Kelvin)

3. Importance of Reduced Temperature

Details: Reduced temperature is crucial in the principle of corresponding states, allowing prediction of gas behavior based on critical properties. It's widely used in chemical engineering and thermodynamics.

4. Using the Calculator

Tips: Enter all required parameters in appropriate units. The Wohl parameters (a, b, c) are substance-specific and can be found in thermodynamic tables.

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 ≈ 2.25 × 10⁵ (in appropriate units).

Q2: Why is reduced temperature dimensionless?
A: Because it's a ratio of two temperatures (actual/critical), the units cancel out.

Q3: What does a reduced temperature of 1 mean?
A: It means the gas is exactly at its critical temperature.

Q4: How accurate is the Wohl equation?
A: It's reasonably accurate for many real gases, especially at moderate pressures and temperatures.

Q5: Can I use this for liquids?
A: The Wohl equation can be used for liquids, but accuracy may vary. Other equations might be better for liquid phases.