Reduced Pressure of Wohl's Real Gas Calculator

Reduced Pressure of Wohl's Real Gas using other Actual and Reduced Parameters Calculator

Reduced Pressure Formula:

\[ P_r = \frac{P}{\left(\frac{4R\left(\frac{T}{T_r}\right)}{15\left(\frac{V'_m}{V'_r}\right)}\right)} \]

Pressure of Gas (P):

Temperature of Real Gas (T):

Reduced Temperature (T_r):

Molar Volume of Real Gas (V'_m):

m³

Reduced Molar Volume (V'_r):

Reduced Pressure (P_r):

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1. What is Reduced Pressure of Wohl's Real Gas?

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

Purpose: It's used in thermodynamic equations of state (like Wohl's equation) to describe the behavior of real gases under various conditions.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ P_r = \frac{P}{\left(\frac{4R\left(\frac{T}{T_r}\right)}{15\left(\frac{V'_m}{V'_r}\right)}\right)} \]

Where:

\( P_r \) — Reduced pressure (dimensionless)
\( P \) — Pressure of gas (Pascal)
\( R \) — Universal gas constant (8.314 J/mol·K)
\( T \) — Temperature of real gas (Kelvin)
\( T_r \) — Reduced temperature (dimensionless)
\( V'_m \) — Molar volume of real gas (m³)
\( V'_r \) — Reduced molar volume (dimensionless)

Explanation: The formula calculates reduced pressure based on actual gas properties and their reduced counterparts.

3. Importance of Reduced Pressure Calculation

Details: Reduced properties are crucial for applying corresponding states theory, which allows prediction of a gas's behavior based on its critical properties.

4. Using the Calculator

Tips: Enter all required parameters with appropriate units. Default values are provided for reduced temperature and reduced molar volume (both 1).

5. Frequently Asked Questions (FAQ)

Q1: What are typical values for reduced pressure?
A: Reduced pressure typically ranges from 0 to 1, where 1 represents the critical pressure.

Q2: Why use reduced properties?
A: Reduced properties allow generalization of gas behavior across different substances using corresponding states principle.

Q3: What's the significance of Wohl's equation?
A: Wohl's equation is a cubic equation of state that describes real gas behavior more accurately than ideal gas law.

Q4: How do I find reduced temperature?
A: Reduced temperature is the actual temperature divided by the critical temperature (T_r = T/T_c).

Q5: What units should I use?
A: Use SI units: Pascals for pressure, Kelvin for temperature, and cubic meters for molar volume.