Actual Pressure of Real Gas given Clausius Parameter c, Reduced and Critical Parameters Calculator

Pressure Formula:

\[ p = \frac{3 \cdot R \cdot T'_c}{8 \cdot (c + V_c)} \cdot P_r \]

Critical Temperature For Clausius Model:

Clausius Parameter c:

m³

Critical Volume:

m³

Reduced Pressure:

Actual Pressure (Pa):

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1. What is Actual Pressure of Real Gas Calculator?

Definition: This calculator computes the actual pressure of a real gas using the Clausius model, incorporating reduced and critical parameters.

Purpose: It helps in thermodynamics and chemical engineering calculations to determine gas pressure under non-ideal conditions.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ p = \frac{3 \cdot R \cdot T'_c}{8 \cdot (c + V_c)} \cdot P_r \]

Where:

\( p \) — Actual pressure (Pascal)
\( R \) — Universal gas constant (8.314 J/mol·K)
\( T'_c \) — Critical temperature (Kelvin)
\( c \) — Clausius parameter c (m³)
\( V_c \) — Critical volume (m³)
\( P_r \) — Reduced pressure (dimensionless)

Explanation: The formula accounts for deviations from ideal gas behavior using critical parameters and the Clausius model.

3. Importance of Pressure Calculation

Details: Accurate pressure calculations are crucial for designing chemical processes, predicting phase behavior, and ensuring safety in high-pressure systems.

4. Using the Calculator

Tips: Enter the critical temperature, Clausius parameter c, critical volume, and reduced pressure. All values must be ≥ 0 except temperature which must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the Clausius parameter c?
A: It's an empirical parameter in the Clausius equation of state that accounts for molecular volume and intermolecular forces.

Q2: How do I find critical parameters?
A: Critical parameters are typically available in thermodynamic tables for pure substances.

Q3: What is reduced pressure?
A: Reduced pressure is the ratio of actual pressure to critical pressure (P/Pc), used in corresponding states theory.

Q4: When is this calculation most useful?
A: For real gases at high pressures or near critical conditions where ideal gas law fails.

Q5: What are typical units for these parameters?
A: Temperature in Kelvin, volumes in cubic meters, pressure in Pascals, with reduced pressure being dimensionless.