Home Back

Van der Waals Constant b given Critical Pressure Calculator

Formula Used:

\[ b = \sqrt{\frac{a}{27 \times P_c}} \]

Pa·L²/mol²
Pa

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is Van der Waals Constant b?

Definition: The Van der Waals Constant b represents the volume occupied by one mole of gas molecules and accounts for the finite size of gas particles in the Van der Waals equation.

Purpose: It corrects the ideal gas law for the volume actually occupied by gas molecules, making the equation more accurate for real gases.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ b = \sqrt{\frac{a}{27 \times P_c}} \]

Where:

Explanation: The formula relates the molecular interaction parameter (a) and critical pressure to determine the excluded volume parameter (b).

3. Importance of Van der Waals Constant b

Details: Accurate determination of b is crucial for modeling real gas behavior, designing chemical processes, and understanding molecular interactions.

4. Using the Calculator

Tips: Enter the Van der Waals Constant a (typically 0.1-10 Pa·L²/mol²) and Critical Pressure (in Pascals). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What are typical values for Van der Waals Constant b?
A: For common gases, b ranges from about 0.01 to 0.1 L/mol (0.00001 to 0.0001 m³/mol).

Q2: Why is critical pressure used in this calculation?
A: Critical pressure is related to molecular interactions and helps determine the excluded volume parameter.

Q3: Can I calculate a if I know b and Pc?
A: Yes, you can rearrange the formula: \( a = 27 \times P_c \times b^2 \).

Q4: How does temperature affect this calculation?
A: Temperature isn't directly in this formula, but it affects the critical pressure which is temperature-dependent.

Q5: What units should I use for accurate results?
A: Use Pascals for pressure and Pa·L²/mol² for a to get b in m³/mol.

Van der Waals Constant b Calculator© - All Rights Reserved 2025