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

Pressure Formula:

\[ p = \frac{27 \times R^2 \times \left(\frac{T_{rg}}{T_r}\right)^3}{64 \times a} \times P_r \]

Temperature of Real Gas:

Reduced Temperature:

Clausius Parameter a:

Reduced Pressure:

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 parameter a, reduced parameters, and actual temperature.

Purpose: It helps in thermodynamic calculations where real gas behavior deviates from ideal gas assumptions.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ p = \frac{27 \times R^2 \times \left(\frac{T_{rg}}{T_r}\right)^3}{64 \times a} \times P_r \]

Where:

\( p \) — Pressure (Pascal)
\( R \) — Universal gas constant (8.314 J/mol·K)
\( T_{rg} \) — Temperature of real gas (K)
\( T_r \) — Reduced temperature (dimensionless)
\( a \) — Clausius parameter a
\( P_r \) — Reduced pressure (dimensionless)

Explanation: The formula accounts for real gas behavior by incorporating reduced parameters and the Clausius parameter.

3. Importance of Pressure Calculation

Details: Accurate pressure calculation is crucial for designing chemical processes, pressure vessels, and understanding gas behavior under various conditions.

4. Using the Calculator

Tips: Enter the real gas temperature, reduced temperature, Clausius parameter a, and reduced pressure. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is reduced temperature?
A: Reduced temperature is the ratio of actual temperature to critical temperature of the substance.

Q2: How is Clausius parameter a determined?
A: It's an empirical parameter specific to each gas, typically determined experimentally.

Q3: What units should I use for temperature?
A: Always use Kelvin (K) for thermodynamic calculations.

Q4: Why does this formula include R²?
A: The squared term comes from the derivation of the Clausius equation of state.

Q5: Can this be used for any gas?
A: Yes, as long as you have the correct Clausius parameter and reduced parameters for the specific gas.