Corrected Murphree Efficiency Percentage For Liquid Entrainment Calculator

Formula Used:

\[ EMGE = \left( \frac{\frac{EMG}{100}}{1 + \left( \frac{EMG}{100} \times \frac{E}{1 - E} \right)} \right) \times 100 \]

Corrected Murphree Efficiency for Absorption (EMGE):

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1. What is the Corrected Murphree Efficiency for Absorption?

The Corrected Murphree Efficiency for Absorption Column is defined as the Murphree Efficiency corrected for Entrainment of Liquid based on Fractional Entrainment and Murphree Efficiency. It accounts for the effect of liquid entrainment on tray efficiency in absorption columns.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ EMGE = \left( \frac{\frac{EMG}{100}}{1 + \left( \frac{EMG}{100} \times \frac{E}{1 - E} \right)} \right) \times 100 \]

Where:

\( EMGE \) — Corrected Murphree Efficiency for Absorption (%)
\( EMG \) — Murphree Efficiency of Absorption Column (%)
\( E \) — Fractional Entrainment (moles of liquid entrained per mole of liquid entering the tray)

Explanation: The formula corrects the Murphree efficiency by accounting for the fraction of liquid that is entrained and carried over to the next tray, which affects the overall separation efficiency.

3. Importance of Corrected Murphree Efficiency Calculation

Details: Accurate calculation of corrected Murphree efficiency is crucial for designing and optimizing absorption columns, as it provides a more realistic assessment of tray performance by accounting for liquid entrainment effects.

4. Using the Calculator

Tips: Enter Murphree Efficiency as a percentage (0-100%) and Fractional Entrainment as a decimal value between 0 and 1 (exclusive of 1). Both values must be valid for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is Murphree Efficiency?
A: Murphree Efficiency of an Absorption Column is defined for each tray according to the separation achieved on each tray based on either the liquid phase or the vapor phase.

Q2: What is Fractional Entrainment?
A: Fractional Entrainment is defined as the moles of liquid entrained per mole of liquid entering the tray.

Q3: Why is correction for entrainment necessary?
A: Entrainment reduces the effective tray efficiency by carrying liquid to the tray above, which can contaminate the product and reduce separation efficiency.

Q4: What are typical values for Fractional Entrainment?
A: Fractional Entrainment typically ranges from 0.05 to 0.3, depending on column design, operating conditions, and physical properties of the system.

Q5: How does entrainment affect column performance?
A: Excessive entrainment can lead to reduced separation efficiency, flooding, and poor product quality in absorption columns.