1. What is Critical Pressure of Real Gas?

Definition: Critical Pressure of Real Gas is the minimum pressure required to liquify a substance at the critical temperature.

Purpose: This calculator determines the critical pressure using the Clausius parameter a and critical temperature.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( P'_c \) — Critical Pressure of Real Gas (Pascal)
• \( [R] \) — Universal gas constant (8.314 J/mol·K)
• \( T'_c \) — Critical Temperature (Kelvin)
• \( a \) — Clausius parameter a (empirical parameter)

Explanation: The formula relates the critical pressure to the cube of critical temperature and inversely to the Clausius parameter.

3. Importance of Critical Pressure Calculation

Details: Critical pressure is essential for understanding phase behavior and designing processes involving real gases at high pressures.

4. Using the Calculator

Tips: Enter the critical temperature in Kelvin and Clausius parameter a. Both values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is the Clausius parameter a?
A: It's an empirical parameter characteristic to equation obtained from Clausius model of real gas.

Q2: What units should I use for inputs?
A: Temperature in Kelvin (K) and parameter a in appropriate units (varies by system).

Q3: Why is the universal gas constant squared in the formula?
A: The formula derivation from thermodynamic principles results in this relationship.

Q4: Can I use this for any real gas?
A: Yes, as long as you have the correct Clausius parameter for that specific gas.

Q5: What's the typical range for critical pressures?
A: Critical pressures vary widely but are often in the range of 1-100 atmospheres for common gases.