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

Formula Used:

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

Critical Molar Volume (m³/mol):

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1. What is Critical Molar Volume?

Definition: Critical Molar Volume is the volume occupied by gas at critical temperature and pressure per mole.

Purpose: This calculator helps determine the critical molar volume using the Reduced Redlich Kwong equation, which is important in thermodynamics and chemical engineering.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( V_{m,c} \) — Critical Molar Volume (m³/mol)
\( V_m \) — Molar Volume (m³/mol)
\( P_r \) — Reduced Pressure (dimensionless)
\( T_r \) — Reduced Temperature (dimensionless)

Explanation: The formula accounts for the reduced properties of the gas to calculate its critical molar volume.

3. Importance of Critical Molar Volume

Details: Critical properties are essential for understanding gas behavior near critical points and for designing chemical processes.

4. Using the Calculator

Tips: Enter the molar volume, reduced pressure, and reduced temperature. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is reduced pressure and temperature?
A: Reduced properties are ratios of actual properties to critical properties (P/Pc and T/Tc).

Q2: When is this equation most accurate?
A: The Reduced Redlich Kwong equation works well for non-polar gases at moderate pressures.

Q3: What are typical units for molar volume?
A: Molar volume is typically expressed in m³/mol or L/mol in chemistry.

Q4: Can this be used for liquids?
A: No, this equation is specifically for real gases.

Q5: What does a negative result mean?
A: Negative results are physically impossible - check your input values.