Saturated Pressure of Component using K-value Expression for Modified Raoult's Law Calculator

Formula Used:

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

Saturated Pressure (Pa):

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1. What is Saturated Pressure in Raoult's Law?

Definition: Saturated Pressure in Raoult's Law is the pressure at which a given liquid and its vapour or a given solid and its vapour can co-exist in equilibrium, at a given temperature.

Purpose: This calculator helps determine the saturated pressure of a component using the K-value expression for modified Raoult's Law.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

\( P_{Saturated} \) — Saturated Pressure (Pascal)
\( K \) — K value (ratio of vapor-phase mole fraction to liquid phase mole fraction)
\( P_T \) — Total pressure of Gas (Pascal)
\( \gamma_{Raoults} \) — Activity coefficient in Raoult's Law

Explanation: The K value multiplied by total pressure gives an intermediate value which is then divided by the activity coefficient to account for deviations from ideal behavior.

3. Importance of Saturated Pressure Calculation

Details: Accurate calculation of saturated pressure is crucial for phase equilibrium calculations, distillation column design, and other chemical engineering applications.

4. Using the Calculator

Tips: Enter the K value, total pressure in Pascals, and activity coefficient. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What is the K value in this context?
A: The K value is defined as the ratio of vapor-phase mole fraction to the liquid phase mole fraction.

Q2: What units should be used for pressure?
A: The calculator uses Pascals (Pa) for both total pressure and saturated pressure.

Q3: What does the activity coefficient represent?
A: The activity coefficient accounts for deviations from ideal behavior in a mixture of chemical substances.

Q4: When would I need to calculate saturated pressure?
A: This calculation is essential for vapor-liquid equilibrium problems, particularly when dealing with non-ideal solutions.

Q5: How accurate is this calculation?
A: The accuracy depends on the accuracy of your input parameters, particularly the activity coefficient which can vary with composition and temperature.