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Critical Temperature of Real Gas using Redlich Kwong Equation given 'a' Calculator

Critical Temperature Formula:

\[ T_c = \left( \frac{a \times P_c}{0.42748 \times R^2} \right)^{2/5} \]

Pa

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1. What is Critical Temperature of Real Gas?

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

Purpose: This calculator determines the critical temperature using the Redlich-Kwong equation parameter 'a' and critical pressure.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ T_c = \left( \frac{a \times P_c}{0.42748 \times R^2} \right)^{2/5} \]

Where:

Explanation: The formula relates the critical temperature to the Redlich-Kwong parameter 'a' and critical pressure through a derived relationship.

3. Importance of Critical Temperature

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

4. Using the Calculator

Tips: Enter the Redlich-Kwong parameter 'a' and critical pressure in Pascals. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

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

Q2: What units should I use for critical pressure?
A: The calculator expects Pascals (Pa) as the input unit for critical pressure.

Q3: How accurate is this calculation?
A: It provides a theoretical estimate based on the Redlich-Kwong equation. Actual values may vary for specific substances.

Q4: Can I use this for any gas?
A: Yes, but accuracy depends on how well the Redlich-Kwong equation models the particular gas.

Q5: What's the significance of the 0.42748 constant?
A: It's a derived constant that appears in the relationship between critical parameters and Redlich-Kwong coefficients.

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