Actual Molar Volume of Real Gas using Reduced Redlich Kwong Equation Calculator

Molar Volume Formula:

\[ V_m = V_{m,c} \times \left(\frac{\frac{1}{P_r} + \frac{0.26}{3T_r}}{\frac{1}{3T_r} - 0.26\sqrt{T_r}}\right) \]

Molar Volume (m³/mol):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Actual Molar Volume of Real Gas?

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

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

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V_m = V_{m,c} \times \left(\frac{\frac{1}{P_r} + \frac{0.26}{3T_r}}{\frac{1}{3T_r} - 0.26\sqrt{T_r}}\right) \]

Where:

\( V_m \) — Molar volume of gas (m³/mol)
\( V_{m,c} \) — Critical molar volume (m³/mol)
\( P_r \) — Reduced pressure (dimensionless)
\( T_r \) — Reduced temperature (dimensionless)

Explanation: The formula accounts for deviations from ideal gas behavior using reduced properties and the Redlich-Kwong equation.

3. Importance of Molar Volume Calculation

Details: Accurate molar volume calculations are essential for designing chemical processes, storage systems, and understanding gas behavior under various conditions.

4. Using the Calculator

Tips: Enter the critical molar volume, reduced pressure, and reduced temperature. All values must be > 0. The reduced properties are dimensionless ratios.

5. Frequently Asked Questions (FAQ)

Q1: What are reduced properties?
A: Reduced properties are ratios of actual conditions to critical conditions (P_r = P/P_c, T_r = T/T_c).

Q2: When does this equation give undefined results?
A: When the denominator becomes zero, which occurs at certain combinations of reduced temperature and pressure.

Q3: How accurate is the Redlich-Kwong equation?
A: It's reasonably accurate for many gases, especially at moderate pressures and temperatures.

Q4: Where can I find critical properties for gases?
A: Critical properties are tabulated in chemical engineering handbooks and databases.

Q5: What units should I use?
A: Critical molar volume in m³/mol, reduced pressure and temperature are dimensionless.