Berthelot parameter b of Real Gas Calculator

Berthelot Parameter b Formula:

\[ b = V_m - \frac{R \times T}{p + \frac{a}{T \times V_m^2}} \]

Molar Volume (V_m):

m³/mol

Temperature (T):

Pressure (p):

Berthelot Parameter a:

Berthelot Parameter b:

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Berthelot Parameter b?

Definition: Berthelot parameter b is an empirical parameter characteristic to equation obtained from Berthelot model of real gas.

Purpose: It helps in describing the behavior of real gases by accounting for molecular volume and intermolecular forces.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ b = V_m - \frac{R \times T}{p + \frac{a}{T \times V_m^2}} \]

Where:

\( b \) — Berthelot parameter b
\( V_m \) — Molar volume (m³/mol)
\( R \) — Universal gas constant (8.314 J/mol·K)
\( T \) — Temperature (K)
\( p \) — Pressure (Pa)
\( a \) — Berthelot parameter a

Explanation: The formula adjusts the ideal gas law to account for real gas behavior through empirical parameters a and b.

3. Importance of Berthelot Parameters

Details: Berthelot's equation provides a more accurate description of real gas behavior than the ideal gas law, especially at moderate pressures.

4. Using the Calculator

Tips: Enter the molar volume, temperature, pressure, and Berthelot parameter a. All values must be positive (except parameter a which can be zero).

5. Frequently Asked Questions (FAQ)

Q1: What are typical values for Berthelot parameters?
A: Parameter a ranges from 0.01 to 10 Pa·m⁶/mol² depending on the gas, while parameter b is typically 10⁻⁵ to 10⁻⁴ m³/mol.

Q2: How does temperature affect parameter b?
A: The calculated b value depends on temperature through the denominator term in the equation.

Q3: What units should I use?
A: Use SI units: m³/mol for volume, K for temperature, Pa for pressure.

Q4: When would I get "undefined" result?
A: This occurs when the denominator becomes zero, which happens at specific combinations of pressure, temperature, and parameter a.

Q5: How is this different from van der Waals equation?
A: Berthelot's equation is similar but uses a temperature-dependent term for parameter a.