Reduced Pressure of Real Gas using Reduced Wohl Equation given Actual and Critical Parameters Calculator

Reduced Pressure Formula:

\[ P_r = \frac{15 \times \frac{T_{rg}}{T'_c}}{4 \times \left(\frac{V'_m}{V'_c} - \frac{1}{4}\right)} - \frac{6}{\frac{T_{rg}}{T'_c} \times \frac{V'_m}{V'_c} \times \left(\frac{V'_m}{V'_c} - \frac{1}{4}\right)} + \frac{4}{\left(\frac{T_{rg}}{T'_c}\right)^2 \times \left(\frac{V'_m}{V'_c}\right)^3} \]

Temperature of Real Gas (T_rg):

Critical Temperature of Real Gas (T'_c):

Molar Volume of Real Gas (V'_m):

m³

Critical Molar Volume (V'_c):

m³/mol

Reduced Pressure (P_r):

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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 used in thermodynamics.

Purpose: This calculator helps determine the reduced pressure of a real gas using the Wohl equation with actual and critical parameters.

2. How Does the Calculator Work?

The calculator uses the Wohl equation:

Where:

\( P_r \) — Reduced Pressure (dimensionless)
\( T_{rg} \) — Temperature of Real Gas (K)
\( T'_c \) — Critical Temperature of Real Gas (K)
\( V'_m \) — Molar Volume of Real Gas (m³)
\( V'_c \) — Critical Molar Volume (m³/mol)

3. Importance of Reduced Pressure Calculation

Details: Reduced properties are essential for applying the principle of corresponding states and for predicting the behavior of real gases.

4. Using the Calculator

Tips: Enter the temperature of the real gas, critical temperature, molar volume, and critical molar volume. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of reduced properties?
A: Reduced properties allow comparison of different gases at similar conditions and help predict gas behavior using corresponding states principle.

Q2: How do I find critical parameters for a gas?
A: Critical parameters are typically found in thermodynamic tables or chemical engineering reference materials.

Q3: What is the range of reduced pressure values?
A: Reduced pressure typically ranges from 0 to 1, where 1 represents the critical pressure.

Q4: Can this calculator be used for any gas?
A: Yes, as long as you have the correct critical parameters for the specific gas.

Q5: What are typical units for molar volume?
A: Molar volume is typically expressed in m³/mol or L/mol (1 m³ = 1000 L).