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

Formula Used:

\[ V_{m,r} = \frac{\frac{1}{P_r} + \frac{0.26}{3T_r}}{\frac{1}{3T_r} - 0.26\sqrt{T_r}} \]

Reduced Molar Volume (Vm,r):

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1. What is Reduced Molar Volume of Real Gas?

Definition: Reduced Molar Volume of a fluid is computed from the ideal gas law at the substance's critical pressure and temperature per mole.

Purpose: This calculator helps determine the reduced molar volume using the Reduced Redlich Kwong Equation, which is useful in thermodynamics and chemical engineering calculations.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V_{m,r} = \frac{\frac{1}{P_r} + \frac{0.26}{3T_r}}{\frac{1}{3T_r} - 0.26\sqrt{T_r}} \]

Where:

\( V_{m,r} \) — Reduced Molar Volume
\( P_r \) — Reduced Pressure (dimensionless)
\( T_r \) — Reduced Temperature (dimensionless)

Explanation: The formula is derived from the Redlich-Kwong equation of state in its reduced form, which provides a more accurate description of real gas behavior compared to the ideal gas law.

3. Importance of Reduced Molar Volume Calculation

Details: Accurate calculation of reduced molar volume is essential for predicting gas behavior under various pressure and temperature conditions, particularly near critical points.

4. Using the Calculator

Tips: Enter the reduced pressure and reduced temperature values (both must be > 0). The calculator will solve the Reduced Redlich Kwong equation to find the reduced molar volume.

5. Frequently Asked Questions (FAQ)

Q1: What are reduced pressure and temperature?
A: Reduced pressure is the ratio of actual pressure to critical pressure. Reduced temperature is the ratio of actual temperature to critical temperature.

Q2: When is this equation most accurate?
A: The Redlich-Kwong equation provides good accuracy for non-polar gases at conditions away from the critical point.

Q3: What does a negative result mean?
A: Negative results may indicate invalid input conditions where the denominator becomes zero or the equation becomes undefined.

Q4: How do I find critical pressure and temperature?
A: These are substance-specific properties that can be found in chemical engineering reference tables.

Q5: Can this be used for liquids?
A: The Redlich-Kwong equation is primarily for gases, though modified versions exist for liquid phases.