Critical Temperature given Clausius Parameter a, Reduced and Actual Parameters Calculator

Critical Temperature Formula:

\[ T'_c = \left( \frac{a \times 64 \times \left( \frac{p}{P_r} \right)}{27 \times R^2} \right)^{\frac{1}{3}} \]

Critical Temperature (T'_c):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Critical Temperature in Clausius Model?

Definition: Critical Temperature For Clausius Model is the highest temperature at which the substance can exist as a liquid. At this phase boundaries vanish, the substance can exist both as a liquid and vapor.

Purpose: This calculator determines the critical temperature based on the Clausius parameter a and pressure conditions.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ T'_c = \left( \frac{a \times 64 \times \left( \frac{p}{P_r} \right)}{27 \times R^2} \right)^{\frac{1}{3}} \]

Where:

\( T'_c \) — Critical temperature (Kelvin)
\( a \) — Clausius parameter a (empirical parameter)
\( p \) — Actual pressure (Pascal)
\( P_r \) — Reduced pressure (dimensionless)
\( R \) — Universal gas constant (8.314 J/mol·K)

Explanation: The formula calculates the critical temperature by combining the Clausius parameter with pressure conditions and fundamental constants.

3. Importance of Critical Temperature Calculation

Details: Knowing the critical temperature is essential for understanding phase behavior, designing chemical processes, and predicting thermodynamic properties of substances.

4. Using the Calculator

Tips: Enter the Clausius parameter a, actual pressure in Pascals, and reduced pressure (dimensionless). All values must be > 0.

5. Frequently Asked Questions (FAQ)

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

Q2: What is reduced pressure?
A: Reduced pressure is the ratio of the actual pressure of the fluid to its critical pressure (dimensionless).

Q3: Why is the universal gas constant used?
A: The gas constant provides the necessary thermodynamic scaling for the equation.

Q4: What units does this calculator use?
A: Pressure must be in Pascals, temperature results are in Kelvin.

Q5: How accurate is this calculation?
A: Accuracy depends on the validity of the Clausius model for your specific substance.