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Critical Temperature of Real Gas given Clausius Parameter c Calculator

Critical Temperature Formula:

\[ T'_c = \frac{(c + V_c) \times 8 \times P'_c}{3 \times [R]} \]

Pa

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1. What is Critical Temperature of Real Gas?

Definition: Critical Temperature For Clausius Model is the highest temperature at which the substance can exist as a liquid. At this phase boundaries vanish, the substance can exist both as a liquid and vapor.

Purpose: This calculator determines the critical temperature based on the Clausius model of real gases.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ T'_c = \frac{(c + V_c) \times 8 \times P'_c}{3 \times [R]} \]

Where:

Explanation: The formula combines the Clausius parameter with critical volume and pressure to determine the temperature at which the gas-liquid phase boundary disappears.

3. Importance of Critical Temperature

Details: The critical temperature is essential for understanding phase behavior, designing chemical processes, and working with supercritical fluids.

4. Using the Calculator

Tips: Enter the Clausius parameter c, critical volume, and critical pressure. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

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

Q2: How do I find the critical volume?
A: Critical volume is typically determined experimentally or can be found in chemical property databases.

Q3: What units should I use?
A: Use cubic meters (m³) for volume, Pascals (Pa) for pressure, and the result will be in Kelvin (K).

Q4: Why is the universal gas constant used?
A: The universal gas constant provides the necessary conversion between pressure-volume units and temperature.

Q5: Can this be used for any real gas?
A: This calculation is specific to the Clausius model of real gases and works best for gases that fit this model.

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