Molar Volume of Real Gas using Redlich Kwong Equation Calculator

Molar Volume Formula:

\[ V_m = \frac{\frac{1}{P} + \frac{b}{R \times T}}{\frac{1}{R \times T} - \frac{\sqrt{T} \times b}{a}} \]

Pressure (P):

Temperature (T):

Redlich-Kwong Parameter a:

Redlich-Kwong Parameter b:

Molar Volume (m³/mol):

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1. What is Molar Volume of Real Gas using Redlich Kwong Equation?

Definition: This calculator estimates the molar volume of a real gas using the Redlich-Kwong equation of state.

Purpose: It helps chemists and engineers determine the volume occupied by one mole of a real gas under specific conditions.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V_m = \frac{\frac{1}{P} + \frac{b}{R \times T}}{\frac{1}{R \times T} - \frac{\sqrt{T} \times b}{a}} \]

Where:

\( V_m \) — Molar volume (m³/mol)
\( P \) — Pressure (Pa)
\( T \) — Temperature (K)
\( a \) — Redlich-Kwong parameter a
\( b \) — Redlich-Kwong parameter b
\( R \) — Universal gas constant (8.314 J/mol·K)

Explanation: The Redlich-Kwong equation is a modification of the ideal gas law that accounts for molecular size and intermolecular forces.

3. Importance of Molar Volume Calculation

Details: Accurate molar volume calculations are essential for gas storage, chemical reactions, and process design in chemical engineering.

4. Using the Calculator

Tips: Enter the pressure in Pascals, temperature in Kelvin, and the Redlich-Kwong parameters a and b. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What are typical values for parameters a and b?
A: These vary by gas. For example, for nitrogen: a ≈ 15.5 Pa·m⁶/mol², b ≈ 0.0268 m³/mol.

Q2: Why use Redlich-Kwong instead of ideal gas law?
A: The ideal gas law becomes inaccurate at high pressures or low temperatures where real gas behavior deviates from ideality.

Q3: What if I get a negative result?
A: Negative results indicate invalid input combinations where the equation cannot find a physical solution.

Q4: How accurate is this equation?
A: Redlich-Kwong is moderately accurate for many gases but may need refinement for precise work.

Q5: What units should I use?
A: Use SI units: Pascals for pressure, Kelvin for temperature, and standard units for a and b.