Critical Temperature of Real Gas given Wohl Parameter a and Other Actual and Reduced Parameters Calculator

Critical Temperature Formula:

\[ T'_c = \frac{a}{6 \times \left(\frac{P_{rg}}{P_r}\right) \times \left(\left(\frac{V'_m}{V'_r}\right)^2\right)} \]

Wohl Parameter a:

Pressure of Gas (P_rg):

Reduced Pressure (P_r):

Molar Volume of Real Gas (V'_m):

m³

Reduced Molar Volume (V'_r):

m³

Critical Temperature of Real Gas (T'_c):

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1. What is Critical Temperature of Real Gas?

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

Purpose: This calculator determines the critical temperature based on Wohl parameter 'a' and other actual and reduced parameters of the gas.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ T'_c = \frac{a}{6 \times \left(\frac{P_{rg}}{P_r}\right) \times \left(\left(\frac{V'_m}{V'_r}\right)^2\right)} \]

Where:

\( T'_c \) — Critical Temperature of Real Gas (Kelvin)
\( a \) — Wohl parameter (empirical parameter)
\( P_{rg} \) — Pressure of Gas (Pascal)
\( P_r \) — Reduced Pressure (dimensionless)
\( V'_m \) — Molar Volume of Real Gas (m³)
\( V'_r \) — Reduced Molar Volume (m³)

Explanation: The formula relates the critical temperature to the Wohl parameter and the ratio of actual to reduced parameters.

3. Importance of Critical Temperature Calculation

Details: Knowing the critical temperature is essential for understanding phase behavior, designing chemical processes, and predicting gas properties under different conditions.

4. Using the Calculator

Tips: Enter all required parameters with appropriate units. All values must be positive numbers. The calculator will compute the critical temperature in Kelvin.

5. Frequently Asked Questions (FAQ)

Q1: What is Wohl parameter 'a'?
A: It's an empirical parameter characteristic to the equation obtained from Wohl model of real gas, representing intermolecular forces.

Q2: What are reduced parameters?
A: Reduced parameters are dimensionless quantities obtained by dividing the actual parameter by its critical value.

Q3: Why is critical temperature important?
A: It determines the highest temperature at which a gas can be liquefied by pressure alone.

Q4: What units should I use for input?
A: Use Pascals for pressure, cubic meters for volume, and Kelvin for temperature.

Q5: Can this calculator be used for all gases?
A: Yes, but accuracy depends on how well the Wohl equation models the particular gas.