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Reduced Molar Volume using Redlich Kwong Equation given 'a' and 'b' Calculator

Reduced Molar Volume Formula:

\[ V_{m,r} = \frac{V_{m}}{\frac{b}{(2^{1/3}-1)}} \]

m³/mol

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1. What is Reduced Molar Volume using Redlich Kwong Equation?

Definition: This calculator computes the reduced molar volume of a fluid using the Redlich-Kwong equation of state, given the molar volume and parameter b.

Purpose: It helps in thermodynamic calculations for real gases, particularly in chemical engineering and physical chemistry applications.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ V_{m,r} = \frac{V_{m}}{\frac{b}{(2^{1/3}-1)}} \]

Where:

Explanation: The reduced molar volume is calculated by normalizing the actual molar volume with respect to a characteristic volume derived from parameter b.

3. Importance of Reduced Molar Volume Calculation

Details: Reduced properties are essential in corresponding states theory and help predict thermodynamic behavior of substances under different conditions.

4. Using the Calculator

Tips: Enter the molar volume in m³/mol and the Redlich-Kwong parameter b. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the physical significance of reduced molar volume?
A: Reduced molar volume provides a dimensionless measure of volume relative to the substance's critical properties, allowing comparison between different substances.

Q2: What are typical values for parameter b?
A: Parameter b depends on the specific gas and is typically in the range of 0.01 to 0.1 m³/mol for common gases.

Q3: How is this different from ideal gas molar volume?
A: This calculation accounts for real gas behavior through the Redlich-Kwong equation, unlike the ideal gas law which assumes no molecular interactions.

Q4: Where can I find parameter b for specific gases?
A: Parameter b can be found in thermodynamic tables or calculated from critical properties of the substance.

Q5: What is the range of reduced molar volume values?
A: Reduced molar volume typically ranges from about 0.1 to 10, depending on temperature and pressure conditions.

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