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Actual Temperature of Real Gas given Clausius Parameter a, Reduced and Critical Parameters Calculator

Temperature Formula:

\[ T_{rg} = \left(\frac{a \times 64 \times P'_c}{27 \times R^2}\right)^{\frac{1}{3}} \times T_r \]

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1. What is Actual Temperature of Real Gas Calculator?

Definition: This calculator determines the actual temperature of a real gas using the Clausius parameter a, critical pressure, and reduced temperature.

Purpose: It helps in thermodynamics calculations for real gases where ideal gas assumptions don't apply.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ T_{rg} = \left(\frac{a \times 64 \times P'_c}{27 \times R^2}\right)^{\frac{1}{3}} \times T_r \]

Where:

Explanation: The formula accounts for deviations from ideal gas behavior using the Clausius parameter and critical properties.

3. Importance of Temperature Calculation

Details: Accurate temperature calculation is crucial for understanding gas behavior under various pressures, especially near critical points.

4. Using the Calculator

Tips: Enter the Clausius parameter a, critical pressure in Pascals, and reduced temperature (dimensionless). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is Clausius parameter a?
A: It's an empirical parameter characteristic to the Clausius equation of state for real gases.

Q2: How do I find critical pressure?
A: Critical pressure is a property of each substance, available in thermodynamic tables.

Q3: What is reduced temperature?
A: It's the ratio of actual temperature to critical temperature (T/Tc), making it dimensionless.

Q4: Why use this instead of ideal gas law?
A: For real gases under high pressure or near critical points, ideal gas assumptions fail.

Q5: What are typical values for Clausius parameter a?
A: Values vary by substance, typically ranging from 0.01 to 10 Pa·m⁶/mol².

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