Reduced Pressure of Real Gas given Wohl Parameter b Calculator

Reduced Pressure of Real Gas given Wohl Parameter b and Actual and Critical Parameters Calculator

Reduced Pressure Formula:

\[ P_r = \frac{P}{\frac{R \times T_c}{15 \times b}} \]

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 a gas to its critical pressure. It's a dimensionless quantity used in thermodynamics.

Purpose: It helps in the study of real gases using the principle of corresponding states and is particularly useful in equations of state like the Wohl equation.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ P_r = \frac{P}{\frac{R \times T_c}{15 \times b}} \]

Where:

\( P_r \) — Reduced pressure (dimensionless)
\( P \) — Pressure of the gas (Pascal)
\( R \) — Universal gas constant (8.314 J/mol·K)
\( T_c \) — Critical temperature (Kelvin)
\( b \) — Wohl parameter (m³/mol)

Explanation: The formula relates the actual pressure to reduced pressure using the gas's critical temperature and Wohl parameter b.

3. Importance of Reduced Pressure Calculation

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

4. Using the Calculator

Tips: Enter the gas pressure in Pascals, critical temperature in Kelvin, and Wohl parameter b in m³/mol. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is the physical significance of reduced pressure?
A: Reduced pressure indicates how far the current pressure is from the gas's critical pressure, helping predict its phase behavior.

Q2: What are typical values for Wohl parameter b?
A: Wohl parameter b is substance-specific and typically ranges from 0.0001 to 0.1 m³/mol for common gases.

Q3: Why is critical temperature important in this calculation?
A: Critical temperature defines the highest temperature at which a gas can be liquefied, making it fundamental for reduced property calculations.

Q4: Can this calculator be used for any gas?
A: Yes, as long as you have the correct Wohl parameter b and critical temperature for the specific gas.

Q5: What's the range of reduced pressure values?
A: Reduced pressure typically ranges from 0 to about 10, with values below 1 indicating subcritical conditions.