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

Temperature Formula:

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

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1. What is Actual Temperature of Real Gas using Redlich Kwong Equation?

Definition: This calculator determines the actual temperature of a real gas using the Redlich-Kwong equation of state, given the reduced temperature, Redlich-Kwong parameter 'a', and critical pressure.

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

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

Explanation: The formula calculates the actual temperature by scaling the reduced temperature with a factor derived from the gas's critical properties.

3. Importance of Temperature Calculation

Details: Accurate temperature determination is crucial for process design, equipment sizing, and safety calculations in chemical engineering applications.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What is reduced temperature?
A: Reduced temperature is the ratio of the actual temperature to the critical temperature of the substance (T/Tc).

Q2: How do I obtain the Redlich-Kwong parameter 'a'?
A: Parameter 'a' is typically determined experimentally or from critical property data for the specific gas.

Q3: What units should I use for critical pressure?
A: The calculator expects critical pressure in Pascals (Pa). 1 atm = 101325 Pa.

Q4: Why does the formula use the 2/5 exponent?
A: The exponent comes from the derivation of the Redlich-Kwong equation and the relationship between parameters.

Q5: Can this be used for all gases?
A: The Redlich-Kwong equation works well for many non-polar gases but may need modification for polar substances.

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