Actual Pressure of Real Gas using Reduced Redlich Kwong Equation Calculator

Pressure Formula:

\[ p = P_c \times \left(\left(\frac{3 \times T_r}{V_{m,r}-0.26}\right)-\left(\frac{1}{0.26 \times \sqrt{T} \times V_{m,r} \times (V_{m,r}+0.26)}\right)\right) \]

Critical Pressure (P_c):

Pascal

Reduced Temperature (T_r):

Reduced Molar Volume (V_m,r):

Temperature (T):

Kelvin

Pressure (p): Pascal

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1. What is Actual Pressure of Real Gas Calculator?

Definition: This calculator computes the actual pressure of a real gas using the reduced Redlich-Kwong equation of state.

Purpose: It helps engineers and scientists determine the pressure behavior of real gases, which deviate from ideal gas behavior.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ p = P_c \times \left(\left(\frac{3 \times T_r}{V_{m,r}-0.26}\right)-\left(\frac{1}{0.26 \times \sqrt{T} \times V_{m,r} \times (V_{m,r}+0.26)}\right)\right) \]

Where:

\( p \) — Actual pressure (Pascal)
\( P_c \) — Critical pressure (Pascal)
\( T_r \) — Reduced temperature (dimensionless)
\( V_{m,r} \) — Reduced molar volume (dimensionless)
\( T \) — Temperature (Kelvin)

Explanation: The equation accounts for molecular interactions and finite molecular size in real gases.

3. Importance of This Calculation

Details: Accurate pressure prediction is crucial for designing chemical processes, pipelines, and storage systems.

4. Using the Calculator

Tips: Enter the critical pressure, reduced temperature, reduced molar volume (>0.26), and temperature. All values must be positive.

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.

Q2: What is reduced molar volume?
A: Reduced molar volume is the actual molar volume divided by the critical molar volume.

Q3: Why is there a 0.26 constant in the equation?
A: This is an empirical parameter in the Redlich-Kwong equation that accounts for molecular size effects.

Q4: When is this equation most accurate?
A: The Redlich-Kwong equation works well for non-polar gases at moderate pressures.

Q5: How do I find critical pressure values?
A: Critical properties are tabulated in chemical engineering handbooks for common substances.