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

Formula Used:

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

Pressure (p):

Temperature of Real Gas (T_rg):

Reduced Temperature (T_r):

Clausius Parameter a:

Reduced Pressure (P_r):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Reduced Pressure of Real Gas?

Definition: Reduced pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is a dimensionless quantity.

Purpose: It helps in comparing the thermodynamic properties of different gases at corresponding states.

2. How Does the Calculator Work?

The calculator uses the Clausius equation:

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

Where:

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

3. Importance of Reduced Pressure Calculation

Details: Reduced properties are essential for the principle of corresponding states, which allows the prediction of a fluid's behavior based on its critical properties.

4. Using the Calculator

Tips: Enter the actual pressure in Pascals, temperature in Kelvin, reduced temperature (dimensionless), and Clausius parameter a. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of reduced properties?
A: Reduced properties allow comparison of different gases at similar conditions relative to their critical points.

Q2: What is a typical value for Clausius parameter a?
A: The value varies for different gases and must be determined experimentally for each substance.

Q3: Why is the universal gas constant used in this formula?
A: The universal gas constant provides the necessary conversion between energy, temperature, and mole quantities.

Q4: What are the units for reduced pressure?
A: Reduced pressure is dimensionless as it's a ratio of two pressures.

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