Pressure using K-Value Expression for Gamma-Phi Formulation Calculator

Total Pressure of Gas Calculator

Formula Used:

\[ P_T = \frac{\gamma_{Raoults} \times P_{sat}}{K \times \phi_{Raoults}} \]

Total Pressure of Gas (Pa):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Pressure using K-Value Expression?

Definition: This calculator determines the total pressure of a gas using the K-value expression in the Gamma-Phi formulation of Raoult's Law.

Purpose: It helps chemical engineers and researchers calculate gas pressure in non-ideal systems accounting for activity and fugacity coefficients.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ P_T = \frac{\gamma \times P_{sat}}{K \times \phi} \]

Where:

\( P_T \) — Total pressure of gas (Pa)
\( \gamma \) — Activity coefficient in Raoult's Law
\( P_{sat} \) — Saturated pressure (Pa)
\( K \) — K-value (vapor-liquid equilibrium ratio)
\( \phi \) — Fugacity coefficient

Explanation: The formula accounts for deviations from ideal behavior through the activity and fugacity coefficients.

3. Importance of This Calculation

Details: Accurate pressure calculation is crucial for designing chemical processes, predicting phase behavior, and ensuring safety in pressurized systems.

4. Using the Calculator

Tips: Enter the activity coefficient (default 0.9), saturated pressure (default 30 Pa), K-value (default 0.85), and fugacity coefficient (default 0.2). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the activity coefficient?
A: It measures how much a component deviates from ideal behavior in a liquid mixture.

Q2: What does the fugacity coefficient represent?
A: It accounts for non-ideal behavior in the gas phase, relating fugacity to pressure.

Q3: When would K-value be different from 1?
A: K-value deviates from 1 in non-ideal systems or when components have different volatilities.

Q4: What are typical values for these coefficients?
A: Activity coefficients typically range 0.5-2, fugacity coefficients 0.1-1.5, and K-values 0.1-10.

Q5: How accurate is this calculation?
A: Accuracy depends on the quality of input parameters, especially the coefficients which should be experimentally determined.