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

Critical Temperature Formula:

\[ T_c = \frac{b \times P_c}{0.08664 \times R} \]

Pa

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1. What is Critical Temperature of Real Gas?

Definition: Critical Temperature given RKE and b 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 b and critical pressure.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ T_c = \frac{b \times P_c}{0.08664 \times R} \]

Where:

Explanation: The formula relates the critical temperature to the Redlich-Kwong parameter b and critical pressure through fundamental thermodynamic relationships.

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 b and critical pressure in Pascals. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the Redlich-Kwong parameter b?
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 input, but you can convert from other units (1 atm = 101325 Pa).

Q3: Why is the universal gas constant used?
A: The constant R appears in the derivation of the Redlich-Kwong equation and connects macroscopic and molecular thermodynamics.

Q4: How accurate is this calculation?
A: This provides a theoretical estimate based on the Redlich-Kwong model, which works well for many non-polar gases.

Q5: Can I use this for any gas?
A: The Redlich-Kwong equation works best for simple, non-polar molecules. For complex molecules, more sophisticated equations may be needed.

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