Critical Temperature of Wohl's Real Gas given Other Actual and Reduced Parameters Calculator

Critical Temperature Formula:

\[ T'_c = \frac{15 \times \left(\frac{P_{rg}}{P_r}\right) \times \left(\frac{V'_m}{V'_r}\right)}{4 \times [R]} \]

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 (T'_c): K

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1. What is Critical Temperature of Wohl's Real Gas?

Definition: The critical temperature is the highest temperature at which the gas can be liquefied by pressure alone. Beyond this temperature, the gas cannot be liquefied regardless of the pressure applied.

Purpose: This calculator determines the critical temperature based on actual and reduced parameters of the gas using Wohl's equation.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ T'_c = \frac{15 \times \left(\frac{P_{rg}}{P_r}\right) \times \left(\frac{V'_m}{V'_r}\right)}{4 \times [R]} \]

Where:

\( T'_c \) — Critical temperature (Kelvin)
\( P_{rg} \) — Pressure of gas (Pascal)
\( P_r \) — Reduced pressure (dimensionless)
\( V'_m \) — Molar volume of real gas (m³)
\( V'_r \) — Reduced molar volume (m³)
\( [R] \) — Universal gas constant (8.314 J/mol·K)

Explanation: The formula relates the critical temperature to the ratio of actual to reduced parameters of pressure and molar volume.

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 the gas pressure, reduced pressure, molar volume, and reduced molar volume. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is reduced pressure?
A: Reduced pressure is the ratio of the actual pressure to the critical pressure of the substance (P/P_c).

Q2: What is reduced molar volume?
A: Reduced molar volume is the ratio of the actual molar volume to the critical molar volume (V/V_c).

Q3: Why is the universal gas constant used?
A: The universal gas constant relates energy, temperature, and quantity of substance in the ideal gas law and similar equations.

Q4: What are typical units for these calculations?
A: Pressure in Pascals, volumes in cubic meters, and temperature in Kelvin for SI consistency.

Q5: How accurate is this calculation?
A: This provides an estimate based on Wohl's equation. For precise work, consult experimental data or more sophisticated models.