1. What is Critical Temperature of Real Gas?

Definition: The critical temperature is the highest temperature at which the substance can exist as a liquid. At this point, phase boundaries vanish and the substance can exist both as a liquid and vapor.

Purpose: This calculator determines the critical temperature based on the Clausius parameter a and critical pressure of a real gas.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

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

Explanation: The formula relates the critical temperature to the Clausius parameter and critical pressure through fundamental thermodynamic relationships.

3. Importance of Critical Temperature Calculation

Details: Knowing the critical temperature is essential for understanding phase behavior, designing chemical processes, and predicting gas liquefaction conditions.

4. Using the Calculator

Tips: Enter the Clausius parameter a and critical pressure in Pascals. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

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

Q2: How do I find the critical pressure of a gas?
A: Critical pressure is typically found in chemical engineering reference tables or measured experimentally.

Q3: What units should I use for inputs?
A: Use consistent SI units - parameter a in appropriate units (varies by substance) and critical pressure in Pascals.

Q4: Why is the universal gas constant squared in the formula?
A: The squared term comes from the derivation of the Clausius model equations relating molecular parameters to macroscopic properties.

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